Flow Of non-Newtonian Casson Fluid Research Articles

Enhanced transport phenomena in Casson fluid flow over radiative moving surface: Influence of velocity and thermal slip conditions with mixed convection and chemical reaction

Researchers are interested in the non-Newtonian fluid flow with mixed convection because of its extensive use in industry and manufacturing. Additionally, thermal radiation in convective heat transfer is critical for thermal transmission regulation. As a result, the authors provide an in-depth study of how mixed convective effects on concentration and temperature impact mass, heat, and non-Newtonian Casson fluid flow. A transverse magnetic field and vertical permeable stretched sheet affect the fluid. Nonlinear thermal radiation, Brownian motion, thermophoresis, velocity slip, and temperature slip are all examined. The governing nonlinear partial differential equations (PDEs) can be changed into especially nonlinear coupled ordinary differential equations (ODEs) with the right similarity transformation. We use the RK-45 technique in Mathematica to solve the system to accommodate different physical attributes. The data are analyzed graphically. This study shows that increasing the free convection parameters [Formula: see text] and [Formula: see text] improves the velocity profile. However, the Casson parameter, magnetic field, velocity slip, and mass suction parameter lower it. Increasing [Formula: see text], and [Formula: see text] parameters lead to a higher temperature profile, whereas [Formula: see text], and [Formula: see text] parameters have the opposite. Increased concentration is shown with [Formula: see text] and [Formula: see text] parameters, whereas [Formula: see text] and [Formula: see text] have the opposite impact. Skin friction increases against [Formula: see text] and [Formula: see text] and reduces for S and M Heat transfer increases for [Formula: see text] and S whereas reduces for [Formula: see text] and [Formula: see text] Mass transfer increases for [Formula: see text] and [Formula: see text] and reduces for [Formula: see text] and [Formula: see text].

Improve Solutions of Differential Transform Method for Jeffrey Hamel Magneto-hydrodynamic Non-Newtonian Casson Fluid Flow Problem

In this article, Magneto-hydrodynamic flow of a non-Newtonian Casson fluid in converging and diverging channels subject to stretching -shrinking cases is an important problem in the field of fluid flow that has been highlighted by the combination of the differential transformation method and the optimal method so-called optimal differential transformation method (ODTM). In this synthesis that is used achieves improved analytical results for this problem. This study examines the impact of several developing characteristics, including channel angle, stretching-shrinking parameter, Casson fluid parameter, Hartmann number, and Reynolds number with the velocity profiles. Results obtained from the DTM and the numerical method BVP4c are compared to those resulting from ODTM which consist of the collocation differential transform method (CDTM), the sub-domain differential transform method (SDTM), the least squares differential transform method (LSDTM), and the Galerkin differential transform method (GDTM). The comparison shows that the percentage errors of the optimal methods (ODTM) are more accurate than those of the DTM for a similar number of parts of the repeated series over a wide range of physical parameters. Finally, it can be said that the results of the proposed method for third-order nonlinear Jeffrey Hamel flow in the non-Newtonian Casson fluid problem are high accuracy.

Exploring the impact of Hall and ion slip effects on mixed convective flow of Casson fluid Model: A stochastic investigation through non-Fourier double diffusion theories using ANNs techniques

The analysis of Non-Newtonian Casson fluid flow using Artificial Neural Networks (ANNs) has enticed the attention of researchers and scientists due to their tremendous role in modern technologies and development. The generalised Ohm law with mass and thermal transport is employed. The mechanism of mass and energy transmission is based on generalised Fick’s and Fourier laws. An incompressible magnetohydrodynamics (MHD) boundary layer flow of Darcy-Forchheimer Casson fluid across a stretching sheet is elaborated in the current study. The flow incorporates the effects of Hall and ion slip phenomena and occurs steadily over a stretchable linear surface through porous medium. The Casson fluid flow has been expressed in form of system of PDEs, which are further simplified to non-linear system of ODEs through similarity replacements. The ANN-LMBOA algorithm is used to crack these equations (ODEs). To validate the ANN-LMBOA results, the dataset is produced by employing the (FDM) finite difference method (Lobatto IIIA) in Matlab package using bvp4c-solver. The dataset is generated for diverse scenarios of flow constraints, testing, and validation of the neural network. The accurateness of the ANN-LMBOA (Artificial Neural Network- Levenberg Marquardt Backpropagation Optimization Algorithm) is evaluated via several statistical neural network tools, i.e., RP, MSE, EH and CF graphs.

A stratified flow of a non-Newtonian Casson fluid comprising microorganisms on a stretching sheet with activation energy

A stratified flow may be seen regularly in a number of significant industrial operations. For instance, the stratified flow regime is typically used by gas-condensate pipelines. Clearly, only a limited set of working situations for which this flow arrangement is stable allow for the achievement of the stratified two-phase flow zone. In this paper, the authors are considered the laminar, steady and incompressible magnetohydrodynamic flow of a non-Newtonian Casson fluid flow past a stratified extending sheet. The features of bio-convection, Brownian motion, thermal radiation thermophoresis, heat source, and chemically reactive activation energy have been employed. The set of equations administered flow of fluid is converted into ordinary differential equation by suitable variables. A semi-analytical investigation of the present analysis is performed with homotopy analysis method. Endorsement of the current results with previous results is also investigated. The outcomes showed that the velocity distribution of the fluid flow lessens with higher Casson and magnetic factors. The temperature profiles of fluid flow shrinkage as the Prandtl number and Casson factor increase and enlarges with higher values of thermal radiation, magnetic, and Brownian motion factors. It is found that the growing thermophoretic and Brownian motion factors reduce the rate of thermal flow of the Casson fluid flow. In contrast, the increasing thermal stratification parameter increases the thermal flow rate of fluid.

Study of nonlinear radiative heat transfer with magnetic field for non-Newtonian Casson fluid flow in a porous medium

This paper studies the effect of thermo-diffusion, electrical field, and nonlinear thermal radiation. Thermal radiant heat transfer has several industrial applications, and the analysis of radiation heat transfer in non-Newtonian fluids under different conditions has been widely studied. To better understand the problem of thermal nonlinear radiation heat transfer flow in non-Darcy Casson fluid on stretched surfaces, this research examines such a phenomenon. The Hybrid Analytical and Numerical Method (The HAN Method) is used to precisely analyze the steady flow of incompressible Newtonian electrically conducting non-Darcy Casson fluid on a vertical permeable stretchable plate with the presence of the magnetic field. The governing equations of this problem are reduced from the system of nonlinear partial differential equations (PDEs) into a system of nonlinear ordinary differential equations (ODEs) using similarity transformations. The results showed that Casson's parameter has a small and indirect effect on temperature and mass transfer, but it affects the velocity significantly and directly. Also, the magnetic field has a direct and significant effect on temperature and velocity but an indirect and significant effect on concentration. The electric field has a direct and significant effect on temperature and velocity but an indirect and significant effect on concentration. Also, the effects of parameters such as thermal buoyancy, inertial, porous permeability, Eckert number, Prandtl number, chemical reaction, Schmidt and Soret numbers, and porosity on velocity, temperature, and concentration have been studied.

Numerical Solution of Radiative and Dissipative Flow on Non-Newtonian Casson Fluid Model via Infinite Vertical Plate with Thermo-Diffusion and Diffusion-Thermo Effects

This research presents mathematically developed model to examine non-Newtonian Casson fluid flow in the existence of radiation, Ohmic dissipation, thermo-diffusion and diffusion-thermo over infinite vertical plate domain. Using similarity transformations, the governing partial derivative related to fluid model is transmuted to ordinary derivative equations and then solved computationally by adopting Runge-Kutta method via shooting quadrature in mathematical software MAPLE. The impacts of various considered effects were assed and solutions for momentum velocity profiles, heat transfer energy and mass transfer concentration profiles are investigated via graphical presentation. The outcomes show that radiation and magnetic field increased heat distribution and improvement in yield stress through an enhancement in Casson term reduces the flow speed. Presence of Cross diffusion terms has remarkable impact on thermal and solutal profiles. Further, numerical significances of engineering quantities such as skin friction, Nusselt number and Sherwood number are provided in tabular form. Finally, to justify the outcomes of this study, a resemblance is taken with earlier published works and found there is good correlation.

Convective heat transport features of Darcy Casson fluid flow in a vertical channel: a Lie group approach

This work is devoted for the flow analysis and to explore the characteristics of thermal energy transport in non-Newtonian Casson fluid flow in a channel. The flow between the two walls is controlled by constantly slipping between them (fixed on a cold plate or a suction wall). The flow of Casson fluid is explored under the effects of MHD and mixed convection. The impacts of Joule heating and viscous dissipation are incorporated to investigate the thermal transport in the flow. Beside this, the heat transport behavior is properly examined by taking heat source/sink effects into account. The partial differential equations (PDEs) scheme is resolved with the Lie group method. After applying the Lie group theory, we have a system of ordinary differential equations (ODEs) numerically processed. The effects of physical constraints are analyzed with ND-Solve technique in MATHEMATICA and illustrated graphically with reasonable physical arguments. It is detected that because of escalation in the Eckert number the thermal transport in the flow significantly raised. While the flow velocity retarded in case of higher Hartmann number.

Impact of heat and mass transfer on the Peristaltic flow of non-Newtonian Casson fluid inside an elliptic conduit: Exact solutions through novel technique

The physics of peristaltic flow in elliptic duct with heat and mass transfer effects is mathematically investigated. A non-Newtonian Casson fluid model is considered for this mathematical analysis. The partial differential equations appearing in the non-dimensional form are interpreted by using a novel mathematical technique that provides exact analytical solution for temperature, concentration and velocity profile. Further, the graphical solutions are provided for the verification of mathematical computations. The declining axial pressure gradient for increasing flow rate indicates that this increase in the flow rate is basically assisting the fluid movement. It is also evident from the velocity profile graphs that the increasing flow rate results in an increased flow profile. The flow profile inside this vertically set duct is visualized through streamline graphs. Clearly streamlines are not crossing each other since the velocity at any spot can have only a unique value. Some closed contours are also evident near the central region in these streamline graphs that highlight the trapping phenomenon. A slight increment in trapping is noted for increasing flow rate. Except streamlines the flow profile can also be visualized through streaklines or pathlines but there is no need to plot streaklines or pathlines here since in case of a steady flow they are all identical.

Hybrid Nanofluid Flow of Non-Newtonian Casson Fluid for the Analysis of Entropy Through a Permeable Medium

The magnetohydrodynamic (MHD) flow of an electrically conducting fluid through a rotating channel is used for the enhancement of heat transfer properties. The entropy analysis due to the irreversibility of the system for the non-Newtonian Casson hybrid nanofluid is proposed in this investigation. Ethylene glycol (EG) is considered as the base liquid in which the metal nanoparticle i.e., copper (Cu) and oxide like aluminium oxide (Al2O3) nanoparticles are submerged into it for the preparation of nanofluid. In addition, the implementation of radiative heat, viscous and Joule dissipation in the energy equation enhance the profile as well. The dimensionless for of the governing equations are obtained by using suitable similarity transformations. The solution is obtained numerically for both the primary and the secondary velocity distributions along with the temperature profiles and the physical significance of the pertinent parameters are presented via graphs. The simulated results for the rate coefficients at both the walls are presented in tabular form. Further, the irreversibility process for the thermal system i.e., the entropy analysis is carried out for the several parameters along with the Bejan number and deliberated clearly. Further, the important findings are; an increasing rotation retards the thickness of the bounding surface of the primary velocity near the lower wall however, significant augmentation in the shear rate as well as heat transfer rate is revealed for the augmenting magnetic and the rotation parameter.

On Hydromagnetic Boundary Layer of Casson Fluid Over Porous Inclined Magnetized Surface With Radiation and Convective Boundary Conditions

The boundary layer of a non-Newtonian Casson fluid flow over inclined porous magnetized surfaces with radiation and convective boundary conditions have been considered. The effects of the magnetic field, thermal radiation, convection with temperature fields at the boundaries of the surface are considered. The governing models have been transformed to ordinary differential equations imploying the similarity approach. The effects of surface magnetization along with bulk parameters on the flow are presented in tables. The thickness of the thermal boundary layer has been enhanced due to the induced magnetic field leading to considerable improvement in the rate of heat transfer. The induced magnetized surface showed a similar influence on the skin friction, Nusselt number, and the Sherwood number. The study, therefore, recommends the incorporation of magnetized surfaces in MHD flows for efficient flows control.

MHD free convective non-Newtonian Casson fluid flow over an oscillating vertical plate

The goal of this investigation is to examine magnetohydrodynamic​ natural convective, mass and heat transfer, performing non-Newtonian Casson fluid flow through an oscillating straight up permeable plate with the existence of thermal diffusion (Soret). Finite element approach (FEM) is implemented to overcome non-dimensional PDEs for distribution of velocity, temperature & concentration of Casson fluid by the impact of different dimensional variables. Local skin-frication, heat and mass transfer rate are often extracted as well as analyzed by graphical ways. The analysis shows that the concentration and velocity of Casson fluid are increased as an enhancement of Soret number. Velocity of Casson fluid increased as an increment of Grashof numbers for heat and mass transfer. Additionally, the flow velocity decreases with the rising values of Casson fluid, phase angle and magnetic field parameters however it enhances with the rising of permeability parameter. Furthermore, the temperature profiles diminished with the growing of Prandtl number. The solutions of the present investigation have been compared with the existing literature in certain circumstances and great agreement were achieved.

Numerical treatment for processing the effect of convective thermal condition and Joule heating on Casson fluid flow past a stretching sheet

In this work, an approximate analytical solution for the problem of non-Newtonian Casson fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition is obtained using a relatively new technique; He’s homotopy perturbation (HPM). The major feature of HPM is that it does not need the small parameters in the equations, and hence the determination of classical perturbation can be discarded. Due to the complete efficiency of the HPM, it becomes practically well suited for use in this field of study. Also, the obtained solutions for both the velocity and temperature field are graphically sketched. The results reveal that the method is very effective, convenient and quite accurate to systems of nonlinear equations.

Numerical Study of Thermal Radiation Phenomenon and Its Influence on Amelioration of the Heat Transfer Mechanism through MHD Non-Newtonian Casson Model

The present study’s main focus is regarding the physical properties of a two-dimensional (2D) magneto-hydrodynamic boundary layer non-Newtonian Casson fluid flow that moves due to an exponentially expanding surface with a mixed convection heat transfer mechanism. In the hydrodynamic flow and heat transmission process, the combined impact of thermal radiation and magnetic field influence is explored. The internal heat generation owing to the fluid motion or a very fluid viscosity is not taken into account. The Chebyshev spectral method (CSM) is employed in this work due to its ability, accuracy, and ease of obtaining the solution for non-linear system of ordinary differential equations (ODEs). This method is an approximate method that can usually obtain the solution in a series form. The mixed convection impact is incorporated in our problem. The results are graphed to help comprehend the many physical parameters that arise in the problem. Graphical results uncover that the speed liquid stream is lessened when reinforcing both the Casson boundary and the Hartmann number, while converse attributes are applied for the Grashof number and the radiation boundary. Finally, a comparison of our current results with previously published work on several particular situations of the problem reveals that they are in excellent agreement.

Variational multiscale stabilized finite element analysis of non-Newtonian Casson fluid flow model fully coupled with Transport equation with variable diffusion coefficients

This paper presents a new subgrid multiscale stabilized formulation for non-Newtonian Casson fluid flow model tightly coupled with variable diffusion coefficients Advection–Diffusion–Reaction equation (VADR). Both the subscales are chosen to be time dependent and the stabilized formulation has been reached through the complete elimination of the unresolvable scales in terms of the coarse scale solution. Hence the resultant formulation emerges as a set of equations involving only the coarse scale solution instead of multiple scales and makes the formulation simpler to handle. In this study the shear-rate dependent Casson viscosity coefficient is assumed to be a function of the solute mass concentration, resulting in a two way coupling. This paper investigates the stability and the convergence properties of the stabilized finite element solution, without imposing any additional regularity condition other than the admissible space requirement on it. The proposed expressions of the stabilization parameters play a significant role in obtaining optimal order of convergences. During various theoretical derivations the estimations of the non-linear apparent viscosity coefficient have been carefully carried out assuming sufficiently regular exact solution. The performance of the scheme has been numerically validated with lid driven cavity problem. The theoretically established rate of convergence results are appropriately verified through numerical studies. In addition the transient Casson fluid flow behavior in a flow past square cylinder has been analyzed thoroughly.

Finite element solutions of non-Newtonian dissipative Casson fluid flow past a vertically inclined surface surrounded by porous medium including constant heat flux, thermal diffusion, and diffusion thermo

This research investigates the simultaneous effects of thermal diffusion and diffusion thermo on incompressible, viscous, electrically conducting non-Newtonian Casson fluid flow past a vertically inclined surface through a porous medium in the presence of the uniform transverse magnetic field, chemical reaction, viscous dissipation, and constant heat flux. The action of thermal radiation and viscous dissipation is scrutinized. The fundamental governing equations determining the flow condition are transfigured as nonlinear coupled partial differential equations through self-similarity transmutations. The finite element technique is implemented to acquire the solution to the problem. Graphs are plotted to inspect the influence of sundry physical quantities on the three routine profiles of the flow field. Further, expressions are procured for friction factor and the rate of heat and mass transfers and discussed comprehensively through tabular forms. Favorable comparisons with previously published work on various exceptional cases of the problem are obtained. This research shows that the Soret number increases both the velocity and concentration fields, and the Dufour number increases the velocity and temperature fields. It is also observed that concentration and velocity fields reduce toward chemical reaction parameter. Furthermore, the Schmidt number decreases the velocity and concentration profiles. It is also noteworthy that velocity decays for the magnetic variable. An improvement in radiation declines the velocity and temperature profiles.

Numerical treatment for solving a model of non-Newtonian Casson fluid flow over an extensible sheet based on maritime field

A numerical solution for steady-state, incompressible, laminar Casson fluid flow and heat transfer in the combined region of a boundary layer is presented for the case of mixed convection and slip velocity. Before introducing the present technique of non-Newtonian Casson model, reviewing the literature has been carefully performed, an improved technique for this model is studied, which has not been previously reported. The presented analysis involves the harness of a magnetic field, viscous dissipation, internal heat generation/absorption and the slip velocity. Finite difference method (FDM) has been used to get an accurate and complete numerical solution. In this novel study, it is proved by means of a finite difference technique, that the velocity and the thermal field may be influenced with the presence of mixed convection phenomenon. The results show that both the fluid velocity and temperature may be predicted from the values of the controlling parameters. Finally, the graphical output reveals that the fluid velocity is diminished by strengthening both the Hartman number and the Casson parameter while the reverse characteristics are observed for the Grashof number.

The pulsatile flow of thermally developed non-Newtonian Casson fluid in a channel with constricted walls

This article presents a numerical investigation of the pulsatile flow of non-Newtonian Casson fluid through a rectangular channel with symmetrical local constriction on the walls. The objective is to study the heat transfer characteristics of the said fluid flow under an applied magnetic field and thermal radiation. Such a study may find its application in devising treatments for stenosis in blood arteries, designing biomechanical devices, and controlling industrial processes with flow pulsation. Using the finite difference approach, the mathematical model is solved and is converted into the vorticity-stream function form. The impacts of the Hartman number, Strouhal number, Casson fluid parameter, porosity parameter, Prandtl number, and thermal radiation parameter on the flow profiles are argued. The effects on the axial velocity and temperature profiles are observed and argued. Some plots of the streamlines, vorticity, and temperature distribution are also shown. On increasing the values of the magnetic field parameter, the axial flow velocity increases, whereas the temperature decreases. The flow profiles for the Casson fluid parameter have a similar trend, and the profiles for the porosity parameter have an opposite trend to the flow profiles for the magnetic field parameter. The temperature decreases with an increase in the Prandtl number. The temperature increases with an increase in the thermal radiation parameter. The profile patterns are not perfectly uniform downstream of the constriction.

Non-Newtonian Casson pulsatile fluid flow influenced by Lorentz force in a porous channel with multiple constrictions: A numerical study

In this paper, we investigate non-Newtonian Casson fluid flow with pulsation in a channel having symmetrical constriction bumps on the upper and lower walls. The medium is assumed to be porous, following Darcy’s law. The fluid is modeled as electrically low conducting, and the pulsatile flow is subjected to a transverse magnetic field of uniform strength to study the impact of the resulting Lorentz force. We transform the mathematical model using the vorticity-stream function form for obtaining the solution. We analyze influence of the Hartman, Strouhal, Casson fluid, and porosity parameters on various flow profiles. It is revealed that the region of flow separation in the wake of a constriction bump tends to vanish with increasing the magnetic field parameter as well as Casson fluid parameter. The wall shear stress has higher values at the first constriction bump than that at the second constriction bump on a wall. It is also noticed that wall shear stress decreases with increasing the value of the porosity parameter during the pulsation cycle.

Thermal performance for electromagnetohydrodynamic flow of non-Newtonian Casson fluid through porous microtube

A theoretical investigation is done to analyze the heat transfer features of non-Newtonian Casson fluid in a porous microtube with electro kinetic effects associated with the applied magnetic field. The exact analytical solutions the velocity and temperature profiles of non-Newtonian Casson fluid in porous micro-tube related to combining effects of electromagnetohydrodynamics forces and electrokinetic forces have been obtained using a variation of parameter. Temperature and flow distribution characteristics of Casson fluid flow are controlled by the obtruded pressure-gradients, applied a magnetic field and electro-kinetic forces. The exciting features of the electromagnetohydrodynamics flow along with the features of the heat flow rate are examined by variation in the non-dimensional physical arguments on velocity and temperature functions. The effect of the Casson parameter on the velocity and temperature profiles has been investigated analyzed. The fluid flow rate and the heat transfer rate of Casson fluid within porous micro-tube is controlled by the strength applied electric and magnetic field.

Oscillatory Darcy Flow of Non-Newtonian Casson Fluid with Temperature-Dependent Viscosity in a Porous Channel

The present investigation aims to analyze the impact of temperature-dependent viscosity (TDV) on oscillatory Darcy flow of Casson fluid within a vertical channel in the presence of suction/injection and slip boundary condition which is applied at the cold wall. The governing equations of the present flow are transformed into dimensionless partial differential equations by using a set of non-dimensional variables. Analytical solution is obtained for the problem under consideration. The influence of distinct physical parameters on velocity profiles as well as on temperature profiles is demonstrated graphically. Here, it is remarkable to see that in the existence of TDV, the velocity of the fluid is lower for the case of Casson (non-Newtonian) fluid as compared to the Newtonian fluid. However, the velocity profiles for both types of fluids increase with increasing values of TDV parameter $$\epsilon .$$