MHD Casson Fluid Research Articles

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.

Thermal Radiation and Heat Source Effects on MHD Casson Fluid over an Oscillating Vertical Porous Plate

Thermal Radiation and Heat Source Effects on MHD Casson Fluid over an Oscillating Vertical Porous Plate

The solution of Navier Stokes equation for MHD Casson fluid using DTM-Pade Approximation

The solution of Navier Stokes equation for MHD Casson fluid using DTM-Pade Approximation

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

Dual solutions for MHD Casson fluid over a shrinking sheet with Newtonian heating

This paper reports the dual solutions in the MHD flow of a Casson fluid over a porous shrinking surface. In this study, viscous dissipation and Newtonian heating boundary condition effects are investigated. The governing partial differential equations are transformed into dimensionless form by the similarity transformation and then numerically solved by the Runge–Kutta–Gill procedure together with the shooting method. The non-dimensional velocity, temperature are displayed graphically for different controlling parameters. Dual similarity solutions are obtained for dimensionless velocity and temperature profiles. It is observed that the thermal boundary layer thickness increases as the Newtonian heating parameter increases in the presence of magnetic field.

MHD Casson fluid in a suspension of convective conditions and cross diffusion across a surface of paraboloid of revolution

In this paper, we analyzed the mathematical model of the convective conditions on Casson fluid across a Paraboloid of Revolution (PR) in the presence of pertinent parameters like magnetic field parameter, Soret, and Dufour. We used R-K-Felhberg-integration scheme based shooting technique to solve the modified governing equations and discussed the appearance of curious parameters on the profiles velocity, temperature and concentration profiles in three cases n = 0, n = 0.5 and n = 1 with the aid of plots. We found that the profiles of velocity, temperature, and concentration are non-uniform for all these three cases. Also, we have taken the help of tables to explore the skin friction coefficient, local Nusselt and Sherwood numbers, which are useful for the purpose of engineering interest. It is noticed that the cross diffusion helps to control the thermal, diffusion and momentum boundary layers for all the three cases. The mixed convective conditions are useful in improving the heat and mass transport phenomena. We also validated the present methodology with already existing methodologies under some limited cases.

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.

Impact of Soret and Dufour Numbers on MHD Casson Fluid Flow Past an Exponentially Stretching Sheet with Non-Uniform Heat Source/Sink

Present study deals with the impact of cross diffusion on Casson fluid flow in the presence of Lorentz force. Flow is caused by the exponential stretching of surface in two lateral directions. The influence of space dependent varying heat sink/source is also contemplated. The basic governing equations are first converted into system of ODEs and then solved using an efficient numerical procedure namely R.K. based shooting technique. From the solution we found that flow is affected by some physical parameters like Casson parameter, non uniform heat parameters, Soret and Dufour numbers etc. Hence the impact of such parameters on velocity, temperature and concentration profiles is shown via plots. Further the friction factor, local Nusselt and Sherwood numbers are also calculated and given in tables. Results indicate that an increase in the Casson parameter enhances the temperature and concentration fields. Dufour and Soret numbers have tendency to enhance temperature and concentration fields respectively.

Numerical Solution of MHD Casson Fluid Flow Due to a Moving Extensible Surface with Second-Order Velocity Slip and Carbon Nanotubes

This theoretical research work deals with the effect of aligned magnetic field flow and heat transfer of carbon nanotubes towards a nonlinear stretching sheet. In addition, we have considered two kinds of carbon nanotubes, namely SWCNTs and MWCNTs, used with water as the base fluid. The governing boundary layer flow equations narrating partial differential equations are transformed into a system of ordinary differential equations with the assistance of similarity transformation. Obtained coupled non-linear differential equations are solved by fourth-order Runge-Kutta (R-K) method along with shooting technique. A comparative study of the formerly published results and the present results for a special case shows that all these results are in an excellent agreement.

Multiple slip effects on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface

Multiple slip effects on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface