scholarly journals Triple Diffusive MHD Casson Fluid Flow Over a Vertical Wall with Convective Boundary Conditions

2021 ◽  
Vol 11 (6) ◽  
pp. 13765-13778
Keyword(s):  
Vertical Wall ◽  
Casson Fluid ◽  
Convective Boundary ◽  
Shooting Technique ◽  
Convective Parameter ◽  
Fluid Properties ◽  
Integral Scheme ◽  
Dimensional Parameters ◽  
Diffusive Boundary ◽  
Layer Flow

In this article, we study, effects of triple diffusive on a mixed convective viscous flow of an MHD Casson fluid through a vertical permeable wall numerically with convective BC’s. The governing equations are modeled and derived for the triple diffusive boundary layer flow to examine the fluid's nature under the influence of thermal conductivity and solutal diffusivity. Using an effective and suitable similarity transformation, highly non-linear coupled PDE’s are reduced to a series of coupled ODE’s and are solved by the Shooting technique with the help of the integral scheme of Runge Kutta-Fehlberg. To know the fluid properties' behavior, a numerical computation has been carried out for the non-dimensional parameters, which control the flow and demonstrated through plots such as permeability, convective parameter, Casson parameter, and buoyancy ratio parameters of the physical system. In the absence of a few non-dimensional parameters, present findings are compared with previously published work to validate our numerical scheme and found to be in good agreement with up to six decimal places of accuracy.

Chemical Reaction and Thermal Radiation Effects on MHD Mixed Convection over a Vertical Plate with Variable Fluid Properties

2018 ◽  
Vol 387 ◽  
pp. 332-342
Author(s):  
R. Suresh Babu ◽  
B. Rushi Kumar ◽  
Oluwole Daniel Makinde
Keyword(s):  
Thermal Radiation ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Vertical Plate ◽  
Numerical Comparison ◽  
Electrically Conducting ◽  
Fluid Properties ◽  
Integral Scheme ◽  
Dimensional Parameters ◽  
Homogeneous Chemical

This article investigates the magnetohydrodynamic mixed convective heat, and mass transfer flow of an incompressible, viscous, Boussinesq, electrically conducting fluid from a vertical plate in a sparsely packed porous medium in the presence of thermal radiation and an nth order homogeneous chemical reaction between the fluid and the diffusing species numerically. In this investigation, the fluid and porous properties like thermal and solutal diffusivity, permeability and porosity are all considered to be vary. The governing non-linear PDE's for the fluid flow are derived and transformed into a system of ODE's using an appropriate similarity transformation. The resultant equations are solved numerically using shooting technique and Runge-Kutta integral scheme with the help of Newton-Raphson algorithm in order to know the characteristics of the fluid for various non-dimensional parameters which are controlling the physical system graphically. The results of the numerical scheme are validated and a numerical comparison has been made with the available literature in the absence of some parameters and found that in good agreement. Nomenclature

scholarly journals New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method

2015 ◽  
Vol 19 (3) ◽  
pp. 1017-1024 ◽  
Author(s):  
Mohammed Uddin ◽  
Waqar Khan ◽  
Ahmad Ismail ◽  
M.A.A. Hamad
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Friction Factor ◽  
Boundary Layer Flow ◽  
Group Method ◽  
Horizontal Plate ◽  
Convective Boundary ◽  
Similarity Transformations ◽  
Convective Parameter ◽  
Layer Flow

A mathematical model is presented and analyzed for steady two-dimensional non-isothermal laminar free convective boundary layer flow along a convectively heated moving horizontal plate. New similarity transformations are developed using one parameter deductive group transformations and hence the governing transport equations are reduced to a system of coupled, nonlinear ordinary differential equations with associated boundary conditions. The reduced equations are then solved numerically by an implicit finite difference numerical method. The effects of pertinent parameters on the non-dimensional velocity, temperature, friction factor and heat transfer rates are investigated and presented graphically. It is found that friction factor decreases with the free convective parameter and rate of heat transfer increases with the convection-conduction parameter.

Transportation of heat and mass of nonlinear mixed convective boundary flow of Casson fluid with generalized Fourier’s and Fick’s laws and stratification effect

2021 ◽  
pp. 095440622110395
Author(s):  
Muhammad Saqlain ◽  
Muhammad Imran Anwar ◽  
Muhammad Waqas
Keyword(s):  
Heat Source ◽  
Fluid Velocity ◽  
Casson Fluid ◽  
Shear Stresses ◽  
Convective Boundary ◽  
Nonlinear Odes ◽  
Coupled Equations ◽  
Uniform Heat ◽  
Stratification Effect ◽  
Layer Flow

The under-consideration article discloses the features of nonlinear mixed convective boundary layer flow of radiative Casson fluid along non-uniform heat source or sink. The generalized Fourier’s and Fick’s laws and thermophoretic effect are taken to analyze the transportation of heat and mass. The stratification and suction/injection effect are also implemented on the boundary of the sheet. The flow modeled equations are converted into system of coupled nonlinear ODEs by adopting similarity variables. These coupled equations are numerically computed with built-in Bvp4c technique. The developing parameters are described graphically via velocity profile, temperature, and concentration distribution. It is worth revealing that the higher values of the Casson fluid parameter and magnetic field parameter retarded the fluid velocity. It is also noticed that strong temperature is achieved for the higher estimation of non-uniform heat source/sink parameter. Further, enhancement is occurred in the shear stresses, by the enlargement of mixed convection and buoyancy ratio parameter.

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