scholarly journals Axisymmetric mixed convective MHD flow over a slender cylinder in the presence of chemically reaction

2016 ◽  
Vol 21 (1) ◽  
pp. 121-141 ◽  
Author(s):  
K.V. Prasad ◽  
H. Vaidya ◽  
K. Vajravelu ◽  
P.S. Datti ◽  
V. Umesh
Keyword(s):  
Mhd Flow ◽  
Magnetic Effect ◽  
Convection Boundary Layer ◽  
Buoyancy Effect ◽  
Governing Equations ◽  
Linear Ordinary Differential Equations ◽  
Similarity Transformations ◽  
Special Cases ◽  
Convection Boundary ◽  
Layer Flow

Abstract The present analysis is focused on the study of the magnetic effect on coupled heat and mass transfer by mixed convection boundary layer flow over a slender cylinder in the presence of a chemical reaction. The buoyancy effect due to thermal diffusion and species diffusion is investigated. Employing suitable similarity transformations, the governing equations are transformed into a system of coupled non-linear ordinary differential equations and are solved numerically via the implicit, iterative, second order finite difference method. The numerical results obtained are compared with the available results in the literature for some special cases and the results are found to be in excellent agreement. The velocity, temperature, and the concentration profiles are presented graphically and analyzed for several sets of the pertinent parameters. The pooled effect of the thermal and mass Grashof number is to enhance the velocity and is quite the opposite for temperature and the concentration fields.

An analytical solution for the Marangoni mixed convection boundary layer flow

2010 ◽  
Vol 224 (6) ◽  
pp. 1193-1202 ◽  
Author(s):  
M A Moghimi ◽  
A Kimiaeifar ◽  
M Rahimpour ◽  
G H Bagheri
Keyword(s):  
Boundary Layer ◽  
Analytical Solution ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Stokes Equations ◽  
Convection Boundary Layer ◽  
Effective Parameters ◽  
Linear Ordinary Differential Equations ◽  
Convection Boundary ◽  
Layer Flow

In this article, an analytical solution for a Marangoni mixed convection boundary layer flow is presented. A similarity transform reduces the Navier—Stokes equations to a set of non-linear ordinary differential equations, which are solved analytically by means of the homotopy analysis method (HAM). The results obtained in this study are compared with the numerical results released in the literature. A close agreement of the two sets of results indicates the accuracy of the HAM. The method can obtain an expression that is acceptable for all values of effective parameters and is also able to control the convergence of the solution. The numerical solution of the similarity equations is developed and the results are in good agreement with the analytical results based on the HAM.

scholarly journals Heat generation effects on MHD boundary layer flow of a moving vertical plate with suction

2012 ◽  
Vol 9 (2) ◽  
pp. 153-162
Author(s):  
Rushi Kumar ◽  
K. Gangadhar
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Heat Generation ◽  
Boundary Layer Flow ◽  
Porous Plate ◽  
Transverse Magnetic ◽  
Convection Boundary Layer ◽  
Linear Ordinary Differential Equations ◽  
Similarity Transformations ◽  
Layer Flow

This work is focused on the numerical solution of a two-dimensional, steady, incompressible electrically conducting, laminar free convection boundary layer flow of a continuously moving vertical porous plate in the presence of a transverse magnetic field and heat generation. The basic equations governing the flow are in the form of partial differential equations and have been reduced to a set of non-linear ordinary differential equations by applying suitable similarity transformations. The problem is solved numerically using shooting techniques with the forth order Runge-Kutta method. The physical behavior of different parameters for velocity, temperature and concentration has been examined graphically and analyzed quantitatively.DOI: http://dx.doi.org/10.3329/jname.v9i2.8550 Journal of Naval Architecture and Marine Engineering 9(2012) 153-167

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