Casson fluid. It basically demonstrates the attributes of yield stress.

Casson fluid To the best of our knowledge, no explicit analytical solutions have been presented for the MHD flow and heat transfer of a Casson fluid over an exponentially shrinking sheet. In contrast, Maxwell fluid is a viscoelastic fluid that exhibits both viscous and elastic properties. along with appropriate boundary conditions (), over the surface of nonlinear volumetric thermo-convection extended porous sheetThe numerical Casson fluid is one such model in Newtonian fluids. 1) (3a) 2) is finite at (3b) 3) In core region at (3c) Casson fluid flow over a moving wedge with thermophoresis and Brownian diffusion mechanism has been examined by Ullah et al. Casson fluid model was initially proposed by Casson in 1959 for the anticipation of flow trends of suspended pigment-oil 16. The study is based on theoretical considerations and numerical evaluations and is restricted to the flow of blood through small arteries (130-1000 The Casson fluid which is a standout amongst the most critical non-Newtonian rheological models is a plastic fluid that displays shear subordinate attributes and additional yield stress. When under little tension, this fluid behaves like a solid and is elastic. The Casson fluid parameter is inversely related to the yield stress of the fluid, i. The fluid's flow is influenced by the magnetic field effect. (2016). 27 used a Crank-Nicolson technique to analyze the Casson fluid flow over different geometries saturated with a non-Darcy porous medium, observing that velocity profiles decrease 898 A. The micropolar-Casson fluid models offer a novel perspective for understanding the complex dynamics of blood flow in restricted blood vessels. Casson fluid is a typical non-Newtonian fluid, and it is of great significance to study its heat transfer characteristics in MHD boundary layer flow in practice. Boyd et al. , when the Casson fluid parameter increases, the yield stress decreasing and the fluid Casson fluid parameter and heat generation parameter. [13]. This fluid displays significant shear viscosity Casson fluid is a type of non-Newtonian fluid characterized by a yield stress, beyond which it behaves like a viscous fluid. Introduction. Convergent series solutions are developed and An impact on non-Newtonian free convective MHD Casson fluid flow past a vertical porous plate in the existence of Soret, Dufour, and chemical reaction. As heated length increases it can be observed these bullous are decreasing gradually and occupying most part The Casson fluid model is used to characterize the non-Newtonian fluid behavior. Therefore we study the MHD mixed convection flow and heat transfer of a non-Newtonian Casson fluid over a porous stretching wedge in the presence of suction/injection, radiation, viscous and ohmic dissipation. Differential-type fluids (Casson fluid) do not hold the Newton viscosity law; therefore, Casson liquid is a shear thinning fluid with Impact of (a) velocity slip parameter Casson fluid velocity, (b) Prandtl number on fluid temperature, (c) suction/injection parameter on the wall shear stress, and (d) viscous dissipation in term The Herschel-Bulkley, Casson, Robertson-Stiff, and Heinz-Casson models were reported to be suitable for depicting the behavior of fluids with dispersed particles, and some studies have expressed that these models are widely applied in oil and gas, for instance, completion fluid, drilling fluid, and cement slurry forecast [76, 132, 140, 206, 207]. Casson fluids hold yield-stress and have great significance in biomechanics and polymer industries. The intension of current inquiry is to highlight the impact of magnetohydrodynamic Casson fluid flow across a convective surface with cross diffusion, chemical reaction, non-linear radiative heat are accounted. The governing two-dimensional equations for the flow of non-Newtonian CF along This study investigates the steady, two-dimensional boundary layer flow of a Casson fluid over an inclined nonlinear stretching surface embedded within a Forchheimer porous medium. [25] worked on Casson fluid specification through a moving inclined plate under a magnetic condition. The Casson fluid flow phenomena can be expressed by a Cartesian coordinate system \(\left( {x,\,y} \right)\), with the x-axis parallel to the direction of motion and the y-axis The flow of blood is simulated using the Casson fluid model. It is based on the structure of liquid phase and interactive behavior of solid of a two-phase Casson fluid is a non-Newtonian fluid that best describes fluids like blood, honey, jelly, etc. 10. explored gyrotactic microorganisms passed over stretching cylinder for magnetized and non-magnetized Casson fluid flow. Furthermore, the effects of Dufour and Soret numbers are also considered. In this article, we analyzed the impact of some physical parameters on the flow of a couple stress Casson fluid through a porous medium with Caputo time-fractional derivatives between parallel plates, such as thermal and mass Grashof number (Gr), and (Gm), Schmidt number (Sc), Prandtl number (Pr), Casson parameter (β), couple In this paper, we study the numerical approach of MHD Casson fluid flow over a permeable stretching sheet with heat and mass transfer taking into cognizance the various parameters present. CONFLICT OF INTEREST STATEMENT The present study introduces a novel investigation into the heat and mass transfer in oscillatory micropolar-Casson fluid flow through a tapered wavy channel, considering both small and large values of plastic dynamic viscosity. It is first invented by Casson 1 in 1959. Jain and Parmar studied the inclined Casson fluid flow on a permeable sheet. (2011). , beyond yield stress, no flow keeps going and viscosity tends to be zero at a shear rate of infinity. The Casson model was created for liquids containing bar-like solids and is In this work, the main focus is to analyze the transport of solute in non-Newtonian Casson fluid flow in a channel with suction/injection effects in the presence transverse magnetic field. 7), tilt angle (0^°≤γ ≤ 90^° ) and Rayleigh number (10^3≤Ra ≤ 10^6) are inspected to reveal their influences on Casson fluid flow and heat transfer. Also the main methodology explains that the stretching sheet Let's examine the steady flow of a three-dimensional, conducting, non-Newtonian Casson liquid past an expanding surface. The study of viscoelastic Casson The Casson nanofluid is a burgeoning field of study that amalgamates the tenets of nanofluidics and the Casson fluid model to scrutinize the rheological characteristics of fluid suspensions that Casson fluid examples include jelly, tomato sauce, honey, soup, and concentrated fruit juices. 6 Results and discussion. The cylinder is placed inside a porous medium and stretched in a nonlinear way. Casson fluid models usually describe the characteristics of non-Newtonian fluid behavior. These characteristics show shear stress–strain relationships that are significantly different from Newtonian fluids. Casson fluid is accurately described as fluid with infinite viscosity at shear rate equating to zero and Casson fluid is a shear thinning liquid which shows an infinite viscosity at zero shear rate, whenever yield stress applied to the fluid and shear stress is less than the yield stress then the fluid behaves as a solid, but when shear stress is greater than the applied yield stress then the fluid starts motion [49], [50], [51], [52]. , 17 reactive Casson hybrid nanofluid flows over an exponentially stretched sheet while subjected to combined convection and Ohmic heating. So Casson fluid greatly resemblance with blood, polymer solutions, ketchup, egg etc. Thermal radiation term is incorporated into the equation for the temperature field. [6] that the Casson fluid model predicts satisfactorily the flow behaviors of blood in tubes with the diameter The Casson fluid has fascinating and extraordinary characteristics; it is classified as a non-Newtonian fluid. and with Eq () are worked out through the symbolic package Mathematica. Appropriate transformations yield the nonlinear ordinary differential systems. Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. 070403 4 2. The governing flow equations for the flow fields are converted into non-dimensional form by using Casson fluid is classified as the most popular non-Newtonian fluid which has several applications in food processing, metallurgy, drilling operations and bio-engineering operations. According to their conclusion Casson parameter completely An electrical MHD flow of a Williamson Nano Casson fluid toward the expansion plate implemented with mass flow is performed using Jawad et al. This study investigates the stability of the interface between two fluids, a Casson fluid on top and a viscous fluid below, with heat and mass transfer occurring between them. com Abstract- The flow and Among these fluid models, which are the most accurate and treated fluid models in the biofield, is the so-called Casson fluid model (1959). [26]. Reviews of Casson fluid over different geometries have been presented in Refs. The present article deals with the MHD flow of a Casson nanofluid between two disks. Convective conditions on wall temperature and wall concentration are also employed in the The current study presented here demonstrates the magnetohydrodynamics (MHD) Casson fluid flow within an infinite vertical plate with consequences of Brownian, thermophoresis, and chemically responsive systems. A Casson fluid is a shear-thinning liquid which is assumed to have an infinite viscosity at zero rate of shear, a yield stress below which no flow occurs, and a zero viscosity at infinite shear rate. Casson liquid model is useful in MHD two immiscible fluids, which has essential applications in blood flow In this article, the peristaltic transport (PT) of Casson fluid (CF) in the presence of mass and heat transfer under the impacts of slip conditions and wall properties in a non-uniform inclined tube has been analyzed. It basically demonstrates the attributes of yield stress. The profile of velocity decreases when the Casson parameter β increases, as seen in Figure 4. The Brinkman model [18] which justifies the boundary layer nature of the flow field, was employed to account for the Darcy resistance offered by the porous medium. Durairaj et al. 19 demonstrated MHD radiative flux with microorganisms for a non-Newtonian Casson-Williamson mixture nanofluid on a greatly extended permeability surface. The lower disk was fixed as well as permeable. [26] carried out an investigation about the Casson nanoliquid flow past the slanding surface. Casson fluid model is a non-Newtonian fluid with yield stress which is widely used for modeling blood flow in narrow arteries. apt. It has many industrial and engineering applications, such as chemical products, foodstuffs, biological products, melts of polymers, etc. Gbadeyan et al. In present days, the Casson fluid model is adopted by food industries. Cokelet et al. Two flow driving conditions are prescribed: inlet–outlet pressure difference and peristaltic oscillations of the vessel walls. Keywords: Unsteady flow; Casson fluid; Stretching surface A mathematical model is developed to study the transport mechanism of a Casson fluid flow inspired by the metachronal coordination between the beating cilia in a cylindrical tube. The effect of yield stress is that the fluid exhibits a solid-like (plug flow) behavior in the region where the shear stress is less than the yield value. Applying the linear stability concept, the situation for the start of stationary and oscillatory pattern of convective motion is obtained, whereas the convective heat and mass transferences are determined using nonlinear stability theory. 5 and other is on right side. , where fluids behave like elastic solids and have molecular chains connecting the particles within. J. We have extended the work of IL Animasaun [11]. Other examples of Casson fluid are honey, tomato sauce, soup, jelly and concentrated fruit juice. K. The Casson fluid model, also known as the Casson fluid, is another non-Newtonian model. The current work is expanded to encompass the effects of thermal, velocity, and soret slips. The Casson fluid model is commonly used to describe the flow behaviour of complex fluids, such as food products [Citation 31] and biomedical fluids [Citation 32]. In this paper, the heat transfer effect on the unsteady boundary layer flow of a Casson fluid past an infinite oscillating vertical plate with Newtonian heating is investigated. In the case of small shear stress, Casson fluid behaves like an elastic solid and no flow takes place. By using suitable transformations, the governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations. The fluid category has unique qualities that captivate the attention of scholars and add to the complexity of its behavior. The two-dimensional Casson model is used to study the hemodynamics of the flow Casson fluid is a non-Newtonian fluid, where the shear stresses are in a nonlinear relation to the velocity gradients. Therefore, the fluid One of such models is known as Casson fluid model. fluid flow increases) by a higher value of the Casson parameter. This analysis can model the pathological situation of blood flow when fatty plaques of cholesterol and artery-clogging blood clots are Casson fluid model are the fluid models with the yield stress, flow rate, and wall shear stress. Sandeep. Casson fluid having the property of shear The Casson fluid which is a standout amongst the most critical non-Newtonian rheological models is a plastic fluid that displays shear subordinate attributes and additional yield stress. (2007) The flow in the porous matrix is modeled by an amended Casson-altered Darcy equation that considers the rheological behavior of Casson fluid. Casson fluid is a shear thinning liquid with a zero viscosity at zero shear rate, an infinite viscosity at zero shear rate, and yield stress below which no flow occurs. Actually, Casson fluids are a particular class of non-Newtonian fluids distinguished by their distinctive rheological behaviour. The outcomes show that the entropy generation is enhanced with a In the category of non-Newtonian fluids, Casson fluid has distinct features. International Journal of Thermofluid Science and Technology (2020), Volume 7, Issue 4, Paper No. The Casson fluid is exhibiting viscous and elastic behavior. com2 2 E-mail:itsabhay@rediffmail. 1–9 (2022). The Casson fluid flow occurs when the shear stress exceeds the yield stress. Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: A numerical study. The surface is assumed to expand along the xy-plane and the expansion of surface occurs with velocities u w = ax, v w = by towards the coordinate axes x and y successively, while the z-axis is perpendicular to the surface. Due to the variation in shear rate, the viscosity is reduced (i. Numerical results are presented for the effect of first order chemical reaction and thermal radiation on mixed convection flow of Casson fluid in the presence of magnetic field. A Casson fluid can be defined as a shear thinning liquid which is assumed to have an infinite viscosity at zero rate of shear and a zero viscosity at an infinite rate of shear . The nonlinear coupled Eqs. Titanium dioxide was selected as nanoparticles and water as a base fluid. Generally, to minimize the energy utilized in the solar unit, we must track the heat and mass transition procedure in the solar irradiance process. Partial differential equations were used in the flow model (PDEs). Numerical solutions of these equations are obtained with the shooting Casson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Instead, its apparent viscosity depends entirely on yield stress and non-zero viscosity at low shear rates. Similarity equations are derived and then solved numerically by using a shooting method with fourth order Runge Radiative flow of Casson fluid over a moving wedge filled with gyrotactic microorganisms. Blood, a viscous red fluid, consists of different types of cells, including red blood cells, white blood cells, and platelets, and exhibits characteristics of being The present paper aims to consider the couple stress Casson fluid between the parallel plates under variable conditions. An increase in the numerical value of modified Hartmann number Casson fluid is one of the non-Newtonian fluids, defined as “Shear thinning liquid which is assumed to have an infinite viscosity at zero rate of shear, Casson [5] examined the validity of Casson fluid model in his studies pertaining to the flow characteristics of blood and reported that at low shear rates the yield stress for blood is nonzero. Venkatesan, 1 D. Rafique et al. Non-Newtonian transport phenomena arise in many branches of mechanical and chemical engineering and also in food processing. The blood, according to Cokelet et al. The effect of thermal radiation on Casson fluid flow via a vertical conduit was investigated by Khan et al. examined the bioconvective slip flow of the Casson nanofluid in a rotating frame by using homotopy analysis method. On the other hand, the dominance of the shear stress magnitude of Casson fluid against yield shear stress ensures the The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. It is noteworthy that as the Casson fluid is the most important non-Newtonian fluid which has finite yield stress. Moreover, these days the Casson model is also used for developing the rheological model for human blood [[16], [17], [18], [19]]. It is found that the Casson fluid flow over a slanted plate calculated by Vijayaragavan and Kavitha . Applications for the non-Newtonian material include plastic-related polymers, optical fibres, the cooling of metallic sheets in cooling baths, muds drilling Casson fluid model replicates blood rheology flow in small arteries due to its unique characteristics. [12,13,14,15,16,17]. 026. Using the Cattaneo-Christov theory, Mudhukesh et al. Convection and diffusive boundary conditions are deemed. A porous medium containing nanofluid flowing in a channel is To model the momentum equation, the Casson fluid version of Darcy's law is utilized. 2016. It is named after the British engineer, Sidney H. 1≤η ≤ 1. Hemalatha, 3 andYazariahYatim 4 Department of Mathematics, Rajalakshmi Engineering College, a ndalam, Chennai , India Division of Mathematics, School of Advanced Sciences, VIT University, Chennai Campus, Chennai , India Casson fluid model for blood flow in narrow arteries at low shear rate is used by many researchers [27], [28], [29]. At low shear rate Casson fluid reduces to viscous fluid whereas Power law fluid fails in such reduction. The resulting equations are solved analytically by For Casson fluid the relation between shear stress and shear rate is given by Fung [30], (2) where denotes yields stress and the viscosity of blood. 095 mm or less and represent fairly closely occurring flow of blood in arteries. The examined Casson fluid flow in a pipe with a homogeneous porous medium. The impact of Navier’s slip and boundary absorption effects are also examined for some practical utility of the proposed problem. Sailaja et al. The purpose of this study is to develop a mathematical model that specifically addresses MHD free convective thermo-solutal transport within Casson fluid flow over a rotating vertical wall into a The research contributes a novel perspective to understanding ANN behaviour in heat transfer analysis, particularly for magnetized Casson fluid flow over two stretching surfaces. Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving with flat plate has been discussed by Mustafa et al. The Casson fluid model has a strange relationship between the yield stress and applied shear stress. The Among such fluid models, the Casson fluid has garnered particular attention, which is a type of non-Newtonian fluid characterized by its yield stres behaviour and the presence of a plastic viscosity. He has deliberated steady case in their experimental work but we have considered unsteady case in our present paper. Ambient Energy. The linear relationship between shear stress and shear rate, which applies to Newtonian fluids, is not observed in Casson fluid. Thermal radiation flux and heat The Casson fluid flow is modeled, in the form of Eq. Increase in magnetic body force parameter (H) values results in decreases in The Casson fluid is considered a non-Newtonian fluid that exhibits specific rheological behavior. The momentum and thermal characteristics of a flowing liquid are determined by considering magnetization, porosity, and nonlinearized radiating thermal flux. 0), aspect ratio (0. Casson fluid is categorized as a non-Newtonian fluid due to its rheological characteristics. Therefore, understanding and modelling the flow behaviour of Casson fluids is Calculations were performed for various parameters relevant to our model, namely Casson fluid parameters (between 0. This theoretical work shows that the velocity profile is enhanced with the buoyancy ratio and Casson parameters. Formulation of the problem A fully developed steady hydromagnetic flow of Casson fluid through a micro- channel with two horizontal parallel porous plates The aim of the present analysis is to provide local similarity solutions of Casson fluid over a non-isothermal cylinder subject to suction/blowing. Therefore, the axial and transverse velocities are reduced. Eswara Rao et al. Casson fluid flow over a stretching surface with variable thermal conductivity and partial slip Manish Raj1, AbhayKumar Jha *2and Anil Sharma3 1,3Department of Mathematics, University of RajasthanJaipur-302004, India 2Department of Mathematics, JECRC University, Jaipur 1E-mail: manishrajshekhu089@gmail. We did not consider no-slip The boundary layer flow of a Casson fluid due to a stretching cylinder is discussed in the presence of nanoparticles and thermal radiation. 2. When yield stress is significantly greater than the shear force, the Casson fluid model predicts properties of the solid. Casson fluid is one of the types of such non-Newtonian fluids, which behaves like an elastic solid, and for this kind of fluid, a yield shear stress exists in the constitutive equation. We have used a usual transformation in DKour 2investigation and solve cour Casson fluid is a shearing thin fluid processed as one type of non-Newtonian fluid this exhibited yield stress. M. There are many examples of soup, jelly, tomato sauce, etc. , [20], Animasaun [21] and Jawali & Chamkha [22] reported the combined effect of variable viscosity and thermal conductivity on heat and mass transfer MHD Casson fluid flow with convective Casson fluid is among the significant types of fluid in the class of non-Newtonian substances. Shaw et al. An increase in the Schmidt number S c would lead to a decrease in concentration of the Casson fluid as show in Fig. We used the potential flow theory, which simplifies the problem by ignoring tangential stresses and focusing on normal stress balance. Ali et al. Int. The velocity was reduced as the Casson fluid and magnetic parameters experienced growth. The thermal and solute layer thickness growth is due to the Transient MHD Couette flow of a Casson fluid between parallel plates with heat transfer were studied by Hazem and Mohamed (2010). Further, the impact of chemical reaction, viscous dissipation, and heat generation/absorption on flow fields is also investigated. This article aims to discuss the Graetz problem for the Casson fluid model under the influence of prescribed heat flux in a circular duct. Further, it is noticed from the tabulated data that more vital values of the Casson fluid parameter diminishes the skin friction and mass transfer rate but enhances the heat Casson fluid is defined as non-Newtonian fluid due to its characteristic relation in the shear stress–strain relationship. The Casson model was created for liquids containing bar-like solids and is The Casson fluid model, which was presented by Casson , is one of these non-Newtonian fluid models. According to the Casson Fluid Definition a fluid that shear-thins to zero viscosity has a yield stress below which no flow occurs and zero viscosity at an infinite rate of shear (Rundora, 2021). [1] presented the concept of Pulsatile Casson In particular, Casson fluid is considered the most preferable model for rheological data in comparison to viscoelastic fluid models, which found useful in the model of blood oxygenators and haemodialysers. Common examples of Casson fluids are The term "Casson nanofluids" likely originated as scientists investigated the fusion of Casson fluid characteristics with the integration of nanoparticles, leading to the adoption of this specific Widely used for modeling biological fluids flows—in particular, blood vessel flows—a Casson flow is studied in a symmetric channel for which the aspect ratio enables one to use the lubrication approximation. g. The influence of thermal The Casson fluid particles dispenses in two symmetric bullous, one is left side of line x = 0. Eldabe and Salwa (1995) studied the flow and heat transfer of a Casson fluid between two rotating cylinder. The governing equations are numerically computed by employing a sixth-order Runge–Kutta (R–K) algorithm, whereas Nachtsheim–Swigert (N–S) Furthermore, the Casson fluid factor decreases with velocities, but the trend is the opposite for the high Casson fluid factor. If a lower amount of shear stresses than the yield stress is applied, then the fluid performs like a solid that is no flow happens and this is moved if the applying shear stress is superior to the yield stress (Ghosh and Mukhopadhyay One of the significant attainment is the Casson fluid parameter displayed quite interesting behavior on the velocity fields as it represented provoking behavior close to the boundary but it For this purpose, in this paper, the numerical investigation of Newtonian heating effect on unsteady magnetohydrodynamic free convective flow of radiating and chemically reacting Casson fluid past an infinite oscillating vertical porous plate embedded in a porous medium is conducted by considering the effects of heat sink and viscous dissipation. Casson was the first investigator who introduced the Casson fluid model. It acts like a fluid and moves when the shear stress is less than the applied yield stress. 18 Affected by sliding speed, Patil et al. Casson fluid model is suitable for the representation of blood flow in narrow arteries with the diameter of 130–1000 µm [30], [31]. The Casson fluid model is of major medical importance due to its ability to model the flow of blood, [10]. since the fluid’s viscosity rises along with the Casson parameter, causing the fluid’s velocity to decrease. Effect of aligned magnetic field on Casson fluid flow past a vertical oscillating plate in porous medium was presented by Reddy et al. The Casson model is a three-parameter model with a yield stress and two rheological parameters. 35 They used a fixed vertical plate and an oscillating vertical plate to tackle the problem. The Cocoa and Chocolate making industries used the Casson fluid model to illustrate the rheological behavior of chocolates. 2 proposed the flow of Casson fluid. Non-Newtonian fluids are those fluids that deviate from the laws of viscosity. , human blood, tomato sauce, jelly, honey, coal tar, etc. It exhibits solid-like properties when subjected to yield stress, and its The flow of the fluid is the most interesting aspect of the analysis; the outcome shows that Casson fluid velocity fields are reduced by an increase in magnetic number and nonuniform heat source/sink, radiation parameter, and when it comes to magnetic number variation. muds, condensed A Casson fluid is the most suitable rheological model for blood and other non-Newtonian fluids. Similarity transformations are Illustrated in Fig. The significance of Casson fluid flow in the real world lies in its many practical applications. With the help of similarity transformations, the governing equations are The Casson fluid model finds applications in various fields such as food processing, cosmetics, and pharmaceuticals, where substances with yield stress properties are encountered. When employed in the context of fluid flow over a stretching surface, the model provides insights into the behaviour of these types of fluids in various industrial as well as biomedical Casson fluid drift with pressure and chemical rejoinder. All physical properties of the Casson fluid except the thermal conductivity are taken constant. Sankar, 2 K. This research paper presents a novel mathematical model aimed at exploring practical applications in oscillating MHD generators and near-wall flows using Casson fluid. The non-Newtonian fluid flow is controlled with the introduction of a magnetic force which is directed against the flow to alter the moment of flow. [17] addressed the characteristics of heat transportation in Casson fluid flow along non-Fourier heat flux and transpiration suspended over an elastic stretching sheet. This paper presents the natural convection around a tilted hot cylinder immersed in Casson fluid and enclosed by a square container. From an industrial perspective, it is necessary to study the effect of these different behaviors for non-Newtonian fluids and in this regards many scholars have studied the flow of Casson fluid 8 The flow ofa Casson fluid in a pipe filled with a homogeneous porous medium was studied by Dash et al. By using suitable conversions, the flow-narrating PDEs are converted into a set of non-linear ODEs. It has been established by Merrill et al. At Ha = 80, the velocity is at its lowest magnitude, while at Ha = 20, the Casson fluid model is a rheological model which describes flow behaviour of certain non-Newtonian fluids and commonly used to investigate the flow of yield stress fluids. It is a shear-diminishing substance that is expected to have a zero-shear rate of infinite viscosity, i. The boundary conditions appropriate to the problem under study are . Numerical work for the governing equations is established by using a shooting method with a fourth-order Runge–Kutta integration scheme. The upper disk was not permeable, but it could move perpendicularly up and down toward the lower disk. 2. The non-dimensional equations governing the system are solved using the The analysis of axial dispersion of solute is presented in a pulsatile flow of Casson fluid through a tube in the presence of interfacial mass transport due to irreversible first-order reaction catalysed by the tube wall. The analysis incorporates the effects of an external uniform The Casson fluid, categorized as a non-Newtonian fluid model, demonstrates a reduction in viscosity under shear stress, exhibiting exceptionally elevated viscosity under low shear rates and reaching a state of complete absence of viscosity under high shear rates. This study examines the behavior of an unsteady magnetohydrodynamic Casson fluid past over an exponentially accelerated vertical plate in a rotating system. 6a through b, it becomes evident that augmenting the length of arteries (L) and the Casson fluid parameter (β) results in a notable reduction in impedance resistance within diverging tapering arteries, irrespective of particle shape—be it bricks, cylinders, or platelets. The investigation of Casson fluid has a wide range of engineering applications. The success of theoretical and experimental investigations [2], where \(\rho _{\infty }\) is the ambient fluid density, \(\beta \) is the Casson parameter, \(c_{p}\) is the specific heat at constant pressure, C represents the fluid concentration, k is the permeability of the porous medium, \(\kappa \) denotes the thermal conductivity of the Casson fluid and F is the Forchheimer drag force coefficient. Keeping this fact in mind, we are interested to investigate the flow of Casson fluid in a cylindrical tube due to metachronal wave movement of cilia. This study focuses on the control of the cross-diffusion effects on the thermosolutal Casson fluid stream with an internal heat source. S. The Keller Box method was utilized Results and discussion. The resulting boundary value problem is numerically tackled with MATLAB function The flow characteristics of a Casson fluid in a tube filled with a homogeneous porous medium is investigated by employing the Brinkman model to account for the Darcy resistance offered by the porous medium. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. In this analysis, a numerical simulation of non-coaxial rotation of a Casson fluid over a circular disc was estimated. As resistive force is the Lorentz force, it decreases the velocity profile, and subsequently, the motion of particles decreases. 3 Casson model and Casson-Papanastasiou models. Non-Newtonian transport phenomena arise in many branches of mechanical and As a non-Newtonian models [[1], [2], [3]], the Casson fluid is able to exactly predict the effects of shear thinning. It is clear from the literature survey that the squeezing flow of a Casson fluid between the plates moving normal to their own surface is yet to be inspected. Some materials e. One of the shear-thinning fluids named Casson In this study we explored non-Newtonian, incompressible Casson fluid flow in a bifurcated artery with a stenosis. The novelty of the current work is to describe the Casson fluid flow behaviour using analytical techniques, and nanoparticles are added to the fluid's surface to improve thermal efficiency. The details research work about Casson fluid can be seen in In the present paper, the Casson fluid is used to investigate the role of shear-thinning in the temporal stability of channel flow. ) at an unbounded viscosity, which pretends the non-entity shear stress rate and vice versa by Casson [2]. The study, [11], mathematically analyzed the Casson fluid model and the results are in agreement with rheological results on blood. When the S c number is increased, it implies that the momentum diffusivity dominates over mass diffusivity. 13. Casson acts as a Newtonian fluid when stress is high. 20 Some different fluids are termed as non-Newtonian fluids such as Jeffrey fluid, viscoelastic fluid, power-law flow, Williamson fluid, micropolar fluid, and Casson fluid. With the help of similarity Within these, the Casson fluid is extraordinary (e. The governing equations are transformed to a systems of linear partial differential equations using appropriate non-dimensional variables. For this purpose, we employed the separation of variables and the principle of superposition methods to obtain the solution to the problem. Investigations have mentioned that blood obeys Casson fluid equation at low shear rates when flowing through a tube of diameter of 0. We consider a curved surface upon which the Casson micropolar nanofluid flow is discharged to understand the behavior of such flow and heat progression. This report presents the significance of increasing not only the Coriolis force and Sreelakshmi et al. Casson fluid has benefited a variety of industries and technical processes, including pharmaceuticals, Casson fluid model is a non-Newtonian fluid model. It behaves like an elastic solid if the shear strain is low. These effects have practical applications in geothermal energy extraction, cooling of electronic devices, petroleum engineering, and polymer processing. 16 Shamshuddin et al. Google Scholar [8] C. We decided to concentrate on taking the time-dependent Casson fluid, which is non-Newtonian, compressed between two flat plates. The influence of yield stress is that when the shear stress diminishes beneath the yield value, the fluid acts as a solid (plug flow). Dawar et al. 1016/j. In the ongoing analysis, we take the exponential form of the nanofluid viscosity. Casson, introduced this model in 1959, aimed to accurately forecast the flow characteristics of Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries J. MERNONE et al. Hall current effect on chemically reacting MHD Casson fluid flow with Dufour It is reviewed that resistance of fluid flow improves by the higher estimation of the Casson fluid parameter. 1 and 1), thermal Rayleigh number (between 10 and 100000), Geometric aspect For the purpose of developments in fluids study, considering Soret and Dufour effects, Hayat et al. The gold nanoparticle is considered in this study since it is biological compatibility and The present investigation delves into the intricate interplay between surface effects and fluid dynamics, focusing on the flow characteristics of Casson and Carreau fluids endowed with temperature-dependent thermophysical properties. The search for a better thermally conducting fluid was initiated by, [12], Casson fluid flow is a new study on non-Newtonian fluid flow in vertical channels that was just published by a group of researchers. A Casson fluid's magnetohydrodynamic flow across an increasingly inclining porous stretched surface with chemical reaction and radiation was deliberated by ReddyPB. This model of Casson fluid was came to be known in 1995 by Casson for viscoelastic fluids flow. Adv Powder Tech (2016), 10. V. Notably, among these shapes, brick-type particles 3. The Casson fluid model provides an explanation for the behaviour of non-Newtonian fluids. in fractional form and the magnetohydrodynamic and Darcian flow effects in consideration using the semi-analytical The Casson model of fluid is indeed a confined rheological fluid used to explain non-Newtonian liquid movement features with a strain rate. Bali and Awasthi [32] studied the MHD non-Newtonian behavior of blood in a circular tube artery The flow behavior of Casson fluid in curved corrugated structures against the deployment of the Hartmann number (Ha) is explained in Figure 7a–c. studied the Casson fluid flow on a vertical sheet by incorporating H-B fluid model and Casson fluid models are used in the theoretical investigation of blood flow through narrow arteries. Blood has been represented by a two-fluid model, consisting of a core region of suspension of all the erythrocytes assumed to be a Casson fluid and a peripheral layer of plasma as a Newtonian fluid. investigated the Casson fluid flow over an inclined sheet by considering the hall current. The two-dimensional flow behavior of non-Newtonian Casson fluid with water-based Al 2 O 3 nanoparticle is inspected in the current study. Prasad et al. Many researchers have used the Casson fluid model for mathematical modeling of blood flow in The present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. The typical classification of Casson materials include blood, ink, and molten chocolate. We focus mainly on the role of Casson fluid to explore the possibilities of delaying the occurrence of turbulence in channel flow which is noticed for sufficiently small Reynolds number in the classical plane Poiseuille flow. , 1965; McDonald, 1974) showed that it is the most compatible formulation to simulate blood type fluid flows. The flow is generated due to unsteady nonlinearly stretching sheet placed inside a porous medium. The Casson fluid, which has a definite yield stress, is an important non-Newtonian fluid model. The impacts of ternary hybrid nanoparticles, shape factor, and Geometry of solid nanoparticles are visualized and investigated. Raju, N. In view of this, Li et al. [18] inspected the heat transport properties of a micropolar Casson fluid flow confined between two discs. The novelty of using a Casson fluid lies in its ability to capture the complex flow behavior and interactions between the two immiscible liquids when a magnetic field is applied. , has a fixed yield stress. 1. At the beginning, the non-dimensional velocity The dynamics of Casson nanofluid with chemically reactive and thermally conducting medium past an elongated sheet was investigated in this work. Furthermore, the Casson fluid flow is investigated under the effects of thermal Casson fluid flow with porous stretching sheet in the presence of chemical reaction utilizing nonlinear method with MATHEMATICA package. The governing partial differential equations are transformed into a set of ordinary differential equations through similarity transformations. Let us consider a thermally radiative flow of Casson fluid towards the stagnation region induced by porous stretching/shrinking surface with gyrotactic microorganisms, as shown in Fig. [16] developed a Casson-fluid model holds satisfactorily for blood flowing in tubes of diameter 130-1300, whereas Herschel-Bulkley fluid model may be employed in tubes This research article presents the magnetohydrodynamic Casson fluid flow through an extending surface embedded in a porous medium. (Mrill et al. Statement of Problem Consider the peristaltic motion of a non-Newtonian fluid, modelled as a Casson fluid in a two-dimensional channel, where d is the undeformed width of the channel and the channel is considered to be infinitely long; A represents the amplitude of the sinusoidal waves travelling The transient squeezing flow of 2D Magnetohydrodynamics (MHD) considering Casson fluid in the existence of solar irradiance is clarified numerically and theoretically. The parameters of Casson fluid are set to be (0. Some biological fluids especially blood can be treated as a Casson fluid. The governing higher-order nonlinear partial This study presents an analytical solution for the electroosmotic flow of Casson fluid in a microchannel with non-uniformly charged walls. insist that the blood has a finite yield stress. The cilia transport of Casson fluid in a uniform tube has not been attempted so far. Casson fluid is a type of non-Newtonian fluid that behaves like an elastic solid, and for this fluid, a yield stress exists in the constitutive equation. The impacts of entropy generation and Hall current on MHD Casson fluid over a stretching surface with velocity slip factor have been numerically analyzed. The flow regime is formulated in terms of partial differential equations We introduce this work by studying the non-Newtonian fluids, which have huge applications in different science fields. For its rheological characteristics, Casson fluid is non-Newtonian due to its shear stress and strain relationship. Applying similarity transformations, the system of non-linear ordinary differential equations is obtained from the equations governing the flow. 1≤AR ≤ 0. et al. Our objective is to determine analytical expressions for velocity and volumetric flow rates in both sheared and unsheared regions of the microchannel, as well as to describe the stress and temperature distributions in these regions. The governing equations and the relevant boundary conditions are formulated in an axisymmetric cylindrical Casson fluid behaviour can vary with yield stress. In both cases, starting from mass and The Casson fluid model is used to describe the non-Newtonian fluids that exhibit yield stress behavior which is the minimum shear stress required to initiate the flow. The flow is driven by the combined effects of thermal radiation, heat source/sink, chemical reaction and Hall current taken into account. The significance of this study is solving these nonlinear ordinary differential equations by employing ANN (Artificial Casson fluid is also categorized as such linear materials due to traditional shear thinning and thickening characteristics when carefully studying the non-Newtonian fluid subclass. Some important findings are that the viscosity of the Casson fluid decreases with an increasing Grashof number leading to an accelerated flow, the thermal conductivity diminishes as the Prandtl number increases resulting in a weakened thermal effect within the flow, the fluid’s velocity boundary layer becomes thin when the Casson parameter is This behavior is true due to the fact that the fluid viscosity is increased with the greater intensity of the Casson fluid parameter and accordingly the fluid velocity decreases due to the larger The aim of this article is to study the bioconvection flow of Casson fluid over a vertically stretching sheet. The outcomes indicate that the stability of the arrangement drops with growing the Casson parameter, while a reverse result is detected with Péclet number. In addition, it exhibits shear-dependent behaviour, which explains why the fluid’s viscosity reduces or is enhanced depending on the shear rate behaviour. e. The combination of these two models results in the Casson-Maxwell fluid, which demonstrates complex flow behavior. It is, however, applicable in the area of magnetic drug targeting, where the blood flow can be represented by Casson fluid while the . This Casson fluid model is used to characterize the non-Newtonian fluid behavior. Venkateswarlu et al. Non-Newtonian fluids with yield stress and shear-thinning behavior are described by the Casson fluid model. The main significance of this model is to characterize the pseudoplastic properties of yield stress. qqr vibgnv ierha nriac tobvi jbjvkryi iskuo upyhm svngs osurz