MHD Casson Fluid Flow Research Articles

Impact of chemical reaction on mass transfer and melting heat transfer of porous MHD Casson fluid flow

Melting and chemical reaction impacts on heat and mass transfer of MHD Casson fluid flow over a porous stretching surface is examined numerically in this article. The governing partial differential equations are converted by using adequate transformations and the resulting ordinary differential equations are solved numerically using finite difference scheme along with Thomas algorithm. The graphical illustrations are presented for velocity, temperature and concentration distributions. Also Skin friction, Nusselt number and Sherwood number are elucidated for chosen values of various parameters. To validate the numerical method employed, the present results are compared with the existing literature and found to be in good agreement.

Second law analysis of MHD natural convection slip flow of Casson fluid through an inclined microchannel

PurposeMicrofluidics is one of the interesting areas of the research in thermal and engineering fields due to its wide range of applications in a variety of heat transport problems such as micromixers, micropumps, cooling systems for microelectromechanical systems (MEMS) micro heat exchangers, etc. Lower cost with better thermal performance is the main objective of these devices. Therefore, in this study, the entropy generation in an electrically conducting Casson fluid flow through an inclined microchannel with hydraulic slip and the convective condition hves been numerically investigated. Aspects of viscous dissipation, natural convection, joule heating, magnetic field and uniform heat source/sink are usedDesign/methodology/approachSuitable non-dimensional variables are used to reduce the non-linear system of ordinary differential equations, and then this system is solved numerically using Runge-Kutta-Fehlberg fourth fifth order method along with shooting technique. The obtained numerical solutions of the fluid velocity and temperature are used to characterize the entropy generation and Bejan number. Also, the Nusselt number and skin friction coefficient for various values of parameters are examined in detail through graphs. The obtained present results are compared with the existing one which is perfectly found to be in good agreement.FindingsIt is established that the production of the entropy can be improved with the aspects of joule heating, viscous dissipation and internal heat source/sink. The entropy generation enhances for increasing values of Casson Parameter and Biot number . Furthermore, it is interestingly noticed that the enhancement of Reynolds number and uniform heat source/sink shows the dual behaviour of the entropy generation due to significant influence of the viscous forces in the region close to the channel walls. It was observed that increasing behaviour of the heat transfer rate for enhancement values of the Eckert number and heat source/sink ratio parameter and the drag force are retarded with higher estimations of Reynolds number.Originality/valueEntropy generation analysis on MHD Casson fluid flow through an inclined microchannel with the aspects of convective, Joule heating, viscous dissipation, magnetism, hydraulic slip and internal heat source/sink has been numerically investigated.

Entropy Generation and Bejan Number Analysis of MHD Casson Fluid Flow in a Micro-Channel with Navier Slip and Convective Boundary Conditions

The analysis of MHD flow has been a concern of consideration for research scientists and engineers. In this treatise, the steady MHD flow of an incompressible and electrically conducting Casson fluid in a micro-channel with heat generation and viscous dissipation, in the presence of hydrodynamic slip and convective boundary conditions, is examined. Exact solutions of non-dimensional steady governing equations are obtained in closed form. Transient fluid velocity, temperature, entropy generation, and Bejan number are depicted by the line graphs whereas rate of heat transfer and skin-friction coefficient are computed in tabular form for pertinent flow parameters. It is established that the entropy generation rate and Bejan number increases for increasing values of the Casson parameter and heat generation parameter. In particular, the Casson parameter accelerates the skin-friction coefficient while it provides resistance to the rate of heat transfer near the channel walls. Casson fluid finds significant applications in biomechanics, polymer processing industries, and food processing.

Radiation and chemical reaction effects on MHD Casson fluid flow past a semi-infinite vertical moving porous plate

A speculative investigation has been presented to explore the significant features of MHD convective Casson fluid flow past a semi-infinite moving vertical porous plate with heat source/sink are included in the flow configuration. The governing partial differential equations are remodeled into ordinary differential equations using appropriate non-dimensional variables. The ensuing differential equations are solved analytically using two term perturbation technique method. The result of flow heat and mass transfer analysis on the velocity, temperature and concentration profiles and also physical parameters like Skin friction, Nusselt number, and Sherwood numbers are shown graphically, also shown in tabular form. The results shows that Casson parameter enhances the velocity, temperature and concentration fields are decreases for increasing the values radiation and chemical reaction. Under some restriction the resultant outcome were compared with previous published results and is found in admirable agreement.

A Study of MHD Casson Fluid Flow over a Permeable Stretching Sheet with Heat and Mass Transfer

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. A set of suitable local similarity transformations are used to non-dimensionalize the governing equations of the present problem. The system of ordinary differential equations are solved numerically by MATLAB bvp4c solver. The effect of the involved parameters on Velocity, Temperature, and Concentration, Skin friction coefficient, Nusselt number and Sherwood number has been studied and numerical results are presented graphically and in tabular form. The numerical results are in good agreement with those of the results previously published in the literature.

Effectiveness of binary chemical reaction on magneto-fluid flow with Cattaneo–Christov heat flux model

An analysis has been carried out the effect of binary chemical reaction on the MHD Casson fluid flow over an exponentially stretching surface in the presence of Cattaneo-Christov heat flux. Additionally, the aspects of binary chemical reaction effects with modified Arrhenius activation energy are analyzed. The stretching velocity, reaction rate, wall temperature and wall concentration are expected to differ according to specific exponential form. Appropriate self-transformed variables are used to deal with non-linear differential systems which are solved by the Runge-Kutta scheme. The impacts of active parameters are manifested graphically in velocity, temperature and concentration fields for two different fluid cases namely Newtonian and Non-Newtonian. This investigation divulges that the Newtonian fluid has a higher temperature than non-Newtonian fluid. Strengthen the magnetic field causes the Newtonian/non-Newtonian fluid flow tends to declines.

Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration in uniform magnetic field

<div data-canvas-width="162.73488208022576">Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration has investigated in the current investigation. The flow governing dimensional velocity, temperature and concentration differential equations are converted into non dimensional form by using non-dimensional variables. Numerical solutions to the converted equations are obtained by finite element method. The results are presented graphically and in tabular form for various controlling parameters. In order to highlig ht the validity and accuracy of our present method, we have compared our results with the results obtained earlier. A very good validation of the present numerical results has been achieved</div><div>.</div>

Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration in uniform magnetic field

Numerical analysis of MHD casson fluid flow over an exponentially accelerated vertical plate in embedded porous medium with ramped wall temperature and ramped surface concentration in uniform magnetic field

Entropy generation in MHD Casson fluid flow with variable heat conductance and thermal conductivity over non-linear bi-directional stretching surface

This consideration highlights the belongings of momentum, entropy generation, species and thermal dissemination on boundary layer flow (BLF) of Casson liquid over a linearly elongating surface considering radiation and Joule heating effects significant. Transportation of thermal and species are offered by using the temperature-dependent models of thermal conductivity and mass diffusion coefficient. Arising problem appear in the form of nonlinear partial differential equations (NPDEs) against the conservation laws of mass, momentum, thermal and species transportation. Appropriate renovation transfigures the demonstrated problem into ordinary differential equations. Numerical solutions of renovated boundary layer ordinary differential equations (ODEs) are attained by a proficient and reliable technique namely optimal homotopy analysis method (OHAM). A graphical and tabular interpretation is given for convergence of analytic solutions through error table and flow behavior of convoluted physical parameters on calculated solutions are presented and explicated in this examination. Reliability and effectiveness of the anticipated algorithm is established by comparing the results of present contemplation as a limiting case of available work, and it is found to be in excellent settlement. Decline in fluid velocity and enhancement in thermal and species transportation is recorded against the fluctuating values of Hartman number. Also reverse comportment of Prandtl number and radiation parameter is portrayed. Moreover, it is conveyed that supplementing values of the magnetic parameter condenses the fluid velocity and upsurges the thermal and concentration distributions. Negative impact of elevating Joule heating phenomenon is noted on the molecular stability of the system via Brinkman number left( {Br} right). Furthermore, the system’s stability at a molecular level is controlled by diminishing values of radiation left( R right), temperature difference left( { in_{1} } right), concentration difference left( { in_{2} } right), diffusion parameters left( { in_{3} } right) and Brinkman number left( {Br} right).

Thermodynamics Analysis of an MHD Casson Fluid Flow Through a Rotating Permeable Channel with Slip and Hall Effects

In this paper, the inherent irreversibility in a Casson fluid flow through a rotating permeable microchannel with wall slip and Hall current is investigated. It is assumed that the lower wall is subjected to the velocity slip and fluid injection while the fluid suction occurs at the upper wall. The nonlinear governing equations of momentum and energy balance are obtained, analyzed and solved numerically using the shooting technique together with the Runge-Kutta-Fehlberg integration method. Pertinent results depicting the effects of various embedded thermophysical parameters on the fluid velocity, temperature, skin friction, the Nusselt number, entropy generation rate and the Bejan number are presented graphically and discussed. It is found that the entropy generation rate is enhanced by fluid rotation and velocity slip but lessened with a rise magnetic field intensity. Our results will undoubtedly augment the design and efficient operation of micro-cooling devices, micro-heat exchangers, micropumps and micro-mixing technologies.

RADIATION AND CHEMICAL REACTION EFFECTS ON MHD CASSON FLUID FLOW OF A POROUS MEDIUM WITH SUCTION/INJECTION

This research article explores on the steady of the two-dimensional buoyancy effects on MHD Casson fluid flow over a stretching of permeable sheet through a porous medium in the occurrence of suction/injection. The central PDEs are changed into ODEs by applying similarity transformations and the changed equations’ solutions are got by Runge-Kutta fourth order along with a shooting technique. The working fluid flow is considered for numerous different parameters graphically. It has been observed that velocity decreases, temperature and concentration increase when magnetic field and permeability of porous parameter increases.

Analysis of Heat and Mass Transfer on Steady MHD Casson Fluid Flow Past an Inclined Porous Stretching Sheet with Viscous Dissipation and Thermal Radiation

Analysis of Heat and Mass Transfer on Steady MHD Casson Fluid Flow Past an Inclined Porous Stretching Sheet with Viscous Dissipation and Thermal Radiation

Unsteady MHD Casson fluid flow through vertical plate in the presence of Hall current

The problem of unsteady magnetohydrodynamic flow of non-Newtonian fluid through a vertical plate in the presence of Hall current is studied in this paper. Using similarity transformations, the governing coupled partial differential equations of the defined problem are transformed as nonlinear ordinary differential equations which are solved analytically by employing perturbation technique. The core objective of this research is to examine the impact of pertinent physical constraints like magnetic parameter, thermal radiation, and Dufour parameter over the velocity, temperature, and concentration profiles of the fluid. It is noted that Casson fluid has superior heat transfer characteristics compared to Newtonian fluid. Lorentz force which is determined from magnetic field has a proclivity to diminish the flow velocity.

Effect of thermal radiation on MHD Casson fluid flow over an exponentially stretching curved sheet

This paper presents the flow and heat transfer characteristics of an electrically conducting Casson fluid past an exponentially stretching curved surface with convective boundary condition. The fluid motion is assumed to be laminar and time dependent. The effects of temperature-dependent thermal conductivity, Joule heating, thermal radiation, and variable heat source/sink are deemed. Suitable transformations are considered to transform the governing partial differential equations as ordinary ones and then solved by the numerical procedures like shooting and Runge–Kutta method. Graphs are outlined to describe the influence of various dimensionless parameters on the fields of velocity and temperature and observe that there is an enhancement in the field of temperature with the radiation, temperature-dependent thermal conductivity, and irregular heat parameters. Also, the Casson parameter has a tendency to suppress the distribution of momentum but an inverse development is noticed for the curvature parameter. Attained outcomes are also compared with the existing literature in the limiting case, and good agreement is perceived.

Influence of thermophoresis and Brownian motion on mixed convection two dimensional MHD Casson fluid flow with non-linear radiation and heat generation

In this study, two dimensional mixed convective MHD stagnation point flow of Casson fluid past an infinite plate in porous medium is considered. Effects of thermophoresis, Brownian motion, non-linear thermal radiation, heat generation and chemical reaction are considered. The governing differential equations are modified using similarity transformation. System of ODE is solved using HAM. Effects of different vital parameters on velocity, temperature and concentration profiles are shown graphically. The numerical values of the velocity, temperature and concentration gradient are also obtained in tabular form. It is illustrated that, mixed convection parameter λ, buoyancy force parameter N, non-linear thermal radiation parameter Nr and heat generation parameter H tends to improve motion of the fluid throughout the flow field. It is also seen that, heat and mass transfer process improve with Brownian motion Nb and thermophoresis parameter Nt. Brownian motion and thermophoresis parameters have negative impacts on temperature gradient.

Influence of suction/injection on MHD Casson fluid flow over a vertical stretching surface

In this paper, we analyzed heat transfer characteristics of a steady two-dimensional magnetohydrodynamic shear thickening Casson fluid across a vertical stretching sheet in the presence of variable heat source/sink. The impact of thermal radiation and velocity slip is also considered. With the suitable similarity transformations, the governing partial differential equations and the corresponding boundary conditions are transferred into ordinary ones and then solved numerically by using shooting and fourth-order Runge–Kutta methods. Simultaneous solutions are presented for the case of suction and injection. The effect of diverse non-dimensional parameters on distributions of velocity, temperature along with skin friction coefficient and the local Nusselt number is analyzed and presented through graphs and table for both suction and injection cases. Increase in Biot number and thermal radiation parameter supports to enhance the distribution of temperature. Escalation in the suction/injection parameter decreases both the distributions velocity and temperature in suction as well as injection cases are observed.

MHD Casson Fluid Flow over a Stretching Sheet with Entropy Generation Analysis and Hall Influence.

The impacts of entropy generation and Hall current on MHD Casson fluid over a stretching surface with velocity slip factor have been numerically analyzed. Numerical work for the governing equations is established by using a shooting method with a fourth-order Runge–Kutta integration scheme. The outcomes show that the entropy generation is enhanced with a magnetic parameter, Reynolds number and group parameter. Further, the reverse behavior is observed with the Hall parameter, Eckert number, Casson parameter and slip factor. Also, it is viewed that Bejan number reduces with a group parameter.

Double diffusive MHD Casson fluid flow in a non-Darcy porous medium with Newtonian heating and thermo-diffusion effects

Double diffusive MHD Casson fluid flow in a non-Darcy porous medium with Newtonian heating and thermo-diffusion effects

Heat Transfer for Inclined MHD Casson Fluid Flow Over a Permeable Cylinder with Thermal Radiation and Viscous Dissipation

Heat Transfer for Inclined MHD Casson Fluid Flow Over a Permeable Cylinder with Thermal Radiation and Viscous Dissipation

Thermo diffusion effects on MHD Casson fluid flow over non-flatness stretching surface: Keller box method

ABSTRACT This paper numerically analyses thermo diffusion effects on MHD Casson fluid flow over a stretching sheet with variable thickness. Cattaneo–Christov heat flux model is imposed to predict the effects of thermal relaxation time. Similarity transformation is employed to normalise the governing boundary layer equations. Keller box method is applied to solve the system of equations. The behaviour of emerging parameters, such as Casson parameter (), Magnetic parameter (), power index (), variable viscosity parameter (), Prandtl number (), Soret number ( ) and Schmidt number () on velocity, temperature and concentration distributions, are discussed and analysed graphically. It is found that temperature profile decreases for large entries of thermal relaxation parameter. The concentration boundary layer thickness increases for large entries of Soret number.