scholarly journals MHD Flow past a Semi-Infinite Vertical Plate with Mass Transfer

2009 ◽  
Vol 14 (3) ◽  
pp. 345-356 ◽  
Author(s):  
G. Palani ◽  
U. Srikanth
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
External Cooling ◽  
Implicit Finite Difference Scheme ◽  
Infinite Vertical Plate

An analysis is performed to study the MHD flow of an electrically conducting, incompressible, viscous fluid past a semi-infinite vertical plate with mass transfer, under the action of transversely applied magnetic field is carried out. The heat due to viscous dissipation and the induced magnetic field are assumed to be negligible. The dimensionless governing equations are unsteady, two-dimensional, coupled and non-linear partial differential equations. A most accurate, unconditionally stable and fast converging implicit finite difference scheme is used to solve the non-dimensional governing equations. The effects of external cooling (Gr > 0) of the plate by the free convection are studied.

scholarly journals Chemically reacting fluid flow induced by an exponentially accelerated infinite vertical plate in a magnetic field and variable temperature via LTT and FEM

2016 ◽  
Vol 43 (1) ◽  
pp. 49-83 ◽  
Author(s):  
Raju Srinivasa ◽  
G. Aruna ◽  
Swamy Naidu ◽  
S.V.K. Varma ◽  
M.M. Rashidi
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Vertical Plate ◽  
Flow Problem ◽  
Variable Temperature ◽  
Governing Equations ◽  
Linear Partial Differential Equations ◽  
Laplace Transform Technique ◽  
Chemically Reacting ◽  
Infinite Vertical Plate

In this research paper, we found both numerical and analytical solutions for the effect of chemical reaction on unsteady, incompressible, viscous fluid flow past an exponentially accelerated vertical plate with heat absorption and variable temperature in a magnetic field. The flow problem is governed by a system of coupled non-linear partial differential equations with suitable boundary conditions. We have solved the governing equations by an efficient, accurate, powerful finite element method (FEM) as well as Laplace transform technique (LTT). The evaluation of the numerical results are performed and graphical results for the velocity, temperature and concentration profiles within the boundary layer are discussed. Also, the expressions for the skin-friction, Nusselt number and the Sherwood number coefficients have been derived and discussed through graphs and tabular forms for different values of the governing parameters.

scholarly journals Radiation effects on MHD flow past an impulsively started infinite vertical plate with mass diffusion

2014 ◽  
Vol 19 (1) ◽  
pp. 17-26
Author(s):  
P. Chandrakala ◽  
P. Narayana
Keyword(s):  
Magnetic Field ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Governing Equations ◽  
Grashof Number ◽  
Flow Past ◽  
Infinite Vertical Plate

Abstract The effects of thermal radiation on a flow past an impulsively started infinite vertical plate in the presence of a magnetic field have been studied. The fluid considered is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effects of velocity and temperature for different parameters such as the thermal radiation, magnetic field, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation or a magnetic field

scholarly journals Effects of rotation on MHD flow past an accelerated isothermal vertical plate with heat and mass diffusion

2010 ◽  
Vol 37 (3) ◽  
pp. 189-202 ◽  
Author(s):  
R. Muthucumaraswamy ◽  
Tina Lal ◽  
D. Ranganayakulu
Keyword(s):  
Magnetic Field ◽  
Schmidt Number ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Physical Parameters ◽  
Plate Temperature ◽  
Grashof Number ◽  
Electrically Conducting ◽  
Laplace Transform Technique ◽  
Effects Of Rotation

An exact analysis of rotation effects on unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of transversely applied magnetic field has been presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised to C?w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.

scholarly journals Further Results on Nonlinearly Stretching Permeable Sheets: Analytic Solution for MHD Flow and Mass Transfer

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Rafael Cortell
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Friction Coefficient ◽  
Analytic Solution ◽  
Flat Surface ◽  
Mhd Flow ◽  
Skin Friction Coefficient ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Complete Set

The steady magnetohydrodynamic (MHD) flow and mass transfer of an incompressible, viscous, and electrically conducting fluid over a permeable flat surface stretched with nonlinear (quadratic) velocity and appropriate wall transpiration is investigated. It is shown that the problem permits an analytical solution for the complete set of equations with magnetic field influences when a fictitious presence of a chemical reaction is considered. Velocity and concentration fields are presented through graphs and discussed. The results for both skin friction coefficient and mass transfer gradient agree well with numerical results published in the literature.

scholarly journals Convection heat mass transfer and MHD flow over a vertical plate with chemical reaction, arbitrary shear stress and exponential heating

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Sehra ◽  
Sami Ul Haq ◽  
Syed Inayat Ali Shah ◽  
Kottakkaran Sooppy Nisar ◽  
Saeed Ullah Jan ◽  
...  
Keyword(s):  
Mass Transfer ◽  
Vertical Plate ◽  
Mhd Flow ◽  
Convection Flow ◽  
Physical Parameters ◽  
Shear Stresses ◽  
Transform Method ◽  
Molecular Diffusivity ◽  
Special Cases ◽  
Infinite Vertical Plate

AbstractThe present research article is directed to study the heat and mass transference analysis of an incompressible Newtonian viscous fluid. The unsteady MHD natural convection flow over an infinite vertical plate with time dependent arbitrary shear stresses has been investigated. In heat and mass transfer analysis the chemical molecular diffusivity effects have been studied. Moreover, the infinite vertical plate is subjected to the phenomenon of exponential heating. For this study, we formulated the problem into three governing equations along with their corresponding initial and boundary conditions. The Laplace transform method has been used to gain the exact analytical solutions to the problem. Special cases of the obtained solutions are investigated. It is noticed that some well-known results from the published literature are achieved from these special cases. Finally, different physical parameters’ responses are investigated graphically through Mathcad software.

scholarly journals Non-Darcy Mixed Convection in a Doubly Stratified Porous Medium with Soret-Dufour Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
D. Srinivasacharya ◽  
O. Surender
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Vertical Plate ◽  
Saturated Porous Medium ◽  
Governing Equations ◽  
Soret And Dufour Effects ◽  
Fluid Saturated Porous Medium ◽  
Infinite Vertical Plate

This paper presents the nonsimilarity solutions for mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a doubly stratified fluid saturated porous medium in the presence of Soret and Dufour effects. The flow in the porous medium is described by employing the Darcy-Forchheimer based model. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms and then solved numerically. The influence of pertinent parameters on dimensionless velocity, temperature, concentration, heat, and mass transfer in terms of the local Nusselt and Sherwood numbers is discussed and presented graphically.

scholarly journals Effects of ohmic heating and viscous dissipation on steady MHD flow near a stagnation point on an isothermal stretching sheet

2009 ◽  
Vol 13 (1) ◽  
pp. 5-12 ◽  
Author(s):  
Pushkar Sharma ◽  
Gurminder Singh
Keyword(s):  
Stagnation Point ◽  
Viscous Dissipation ◽  
Ohmic Heating ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Governing Equations ◽  
Shooting Technique ◽  
Electrically Conducting

Aim of the paper is to investigate effects of ohmic heating and viscous dissipation on steady flow of a viscous incompressible electrically conducting fluid in the presence of uniform transverse magnetic field and variable free stream near a stagnation point on a stretching non-conducting isothermal sheet. The governing equations of continuity, momentum, and energy are transformed into ordinary differential equations and solved numerically using Runge-Kutta fourth order with shooting technique. The velocity and temperature distributions are discussed numerically and presented through graphs. Skin-friction coefficient and the Nusselt number at the sheet are derived, discussed numerically, and their numerical values for various values of physical parameters are compared with earlier results and presented through tables.

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