Effects of mass transfer on MHD flow of casson fluid with chemical reaction and suction (original) (raw)

Numerical Solution to Mass Transfer on Mhd Flow of Casson Fluid With Suction and Chemical Reaction

international journal of chemical sciences, 2016

In the present work, the effect of mass transfer of a MHD Casson fluid over a porous stretching sheet is discussed in presence of chemical reaction is investigated using keller box method. The resulting nonlinear flow is solved to get a series solution. The variations in velocity and concentration fields are presented for various flow parameters. We further analyzed that the concentration profile decreases rapidly compared with the velocity of the fluid with increase in suction parameter.

Analysis of variable magnetic field on chemically dissipative MHD boundary layer flow of Casson fluid over a nonlinearly stretching sheet with slip conditions

International Journal of Ambient Energy, 2020

Casson fluid model is a non-Newtonian fluid with yield stress which is widely used for modeling blood flow in narrow arteries. The present study investigates the slip flow analysis on magnetohydrodynamic flow of a Casson fluid over a nonlinearly permeable stretching sheet embedded in a porous medium. The heat transfer equation is modeled with the influences of thermal radiation, viscous dissipation, Joule heating and uniform heat source. Further, the chemically reactive species enriches the study of chemical reaction. Using similarity transformations the governing equations are converted into ordinary differential equations which are solved numerically using shooting technique. The influences of various pertinent parameters are explained through graphs and tables. It is found that suction and injection have opposite effects on velocity profiles. Further, Eckert number enhances the rate of heat transfer but reduces the mass transfer at the bounding surface.

Hydromagnetic Flow of Casson Fluid Over a Stretching Plane Through Porous Medium

The current analysis focuses on the MHD effects of a steady Casson fluid flowing overa stretching sheet in the porous medium. To examine the properties of non-Newtonian fluid, a mathematical model for Casson fluid is developed. Similarity transformationis used to convert higher order nonlinear governing partial differential equations (PDEs) into ordinary differential equations (ODEs). Analytical expressions of flow characteristics like velocity and skin friction coefficient are produced by applying the proper boundary conditions. Reports on specific instances of skin friction coefficient and fluid velocity (horizontal/transversal) are supplied. For various values of flow parameters, such as Casson parameter, suction velocity, conductivity, and permeability parameter, fluid flow characteristics, i.e. velocity profiles, and skin friction coefficient are sketched and analysed.

MHD free convection flow of Casson fluid over a permeable nonlinearly stretching sheet with chemical reaction

Malaysian Journal of Fundamental and Applied Sciences, 2017

The problem of heat and mass transfer free convection flow of Casson fluid over a porous nonlinear stretching sheet in the presence of chemical reaction is investigated. Moreover the effect of magnetic field is also considered. The governing partial differential equations are transformed into ordinary differential equations by making use of suitable transformations and then solved numerically via Keller-box method. The results for skin friction are compared with previous results of the existing literature. The results are also reflected in good agreement. It is noted that concentration of Casson fluid reduces rapidly by increasing Schmidt number and chemical parameter. Also, thermal Grashof number and mass Grashof number enhance the momentum boundary layer thickness, whereas increment in chemical reaction parameter reduces the heat transfer rate. Moreover, both the fluid velocity and wall shear stress are observed to be decreased with increment in suction/blowing parameter.

Heat and Mass Transfer Slip Flow of Casson Fluid over a Nonlinearly Stretching Sheet Saturated in a Porous Medium with Chemical Reaction

Present work concerns numerical solutions of hydromagnetic slip flow of Casson fluid under the influence of chemical reaction and convective boundary conditions. The flow is generated due to power law stretching sheet placed inside a porous medium. The nonlinear governing equations are transformed into nonlinear ordinary differential equations via suitable transformations. The transformed equations are then solved numerically using Keller-box method and graphical results are produced through MATLAB software. The influence of pertinent parameters on velocity, temperature, concentration profiles, as well as wall shear stress, heat and mass transfer rates is performed and examined qualitatively. The obtained numerical results are compared with previous work and presented in tabular form.

Heat and mass transfer in magnetohydrodynamic Casson fluid over an exponentially permeable stretching surface

A B S T R A C T In this study we analyzed the flow, heat and mass transfer behavior of Casson fluid past an exponentially permeable stretching surface in presence of thermal radiation, magneticfield, viscous dissipation, heat source and chemical reaction. We presented dual solutions by comparing the results of the Casson fluid with the Newtonian fluid. The governing partial nonlinear differential equations of the flow, heat and mass transfer are transformed into ordinary differential equations by using similarity transformation and solved numerically by using Matlab bvp4c package. The effects of various non-dimensional governing parameters on velocity, temperature and concentration profiles are discussed and presented graphically. Also, the friction factor, Nusselt and Sherwood numbers are analyzed and presented in tabular form for both Casson and Newtonian fluids separately. Under some special conditions the results of the present study have an excellent agreement with existing studies for both Casson and Newtonian fluid cases.

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

IAEME Publication, 2020

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

Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium

Mathematical Problems in Engineering, 2016

An unsteady squeezing flow of Casson fluid having magnetohydrodynamic (MHD) effect and passing through porous medium channel is modeled and investigated. Similarity transformations are used to convert the partial differential equations (PDEs) of non-Newtonian fluid to a highly nonlinear fourth-order ordinary differential equation (ODE). The obtained boundary value problem is solved analytically by Homotopy Perturbation Method (HPM) and numerically by explicit Runge-Kutta method of order 4. For validity purpose, we compare the analytical and numerical results which show excellent agreement. Furthermore, comprehensive graphical analysis has been made to investigate the effects of various fluid parameters on the velocity profile. Analysis shows that positive and negative squeeze numberSqhave opposite effect on the velocity profile. It is also observed that Casson parameterβshows opposite effect on the velocity profile in case of positive and negative squeeze numberSq. MHD parameterMgan...

Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction

Ain Shams Engineering Journal, 2016

This article investigates the theoretical study of the steady two-dimensional MHD convective boundary layer flow of a Casson fluid over an exponentially inclined permeable stretching surface in the presence of thermal radiation and chemical reaction. The stretching velocity, wall temperature and wall concentration are assumed to vary according to specific exponential form. Velocity slip, thermal slip, solutal slip, thermal radiation, chemical reaction and suction/blowing are taken into account. The proposed model considers both assisting and opposing buoyant flows. The non-linear partial differential equations of the governing flow are converted into a system of coupled non-linear ordinary differential equations by using the similarity transformations, which are then solved numerically by shooting method with fourth order Runge-Kutta scheme. The numerical solutions for pertinent parameters on the dimensionless velocity, temperature, concentration, skin friction coefficient, the heat transfer coefficient and the Sherwood number are illustrated in tabular form and are discussed graphically.

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

Journal of Thermal Analysis and Calorimetry, 2019

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.