Free Convection From a Vertical Plate With Nonuniform Surface Temperature and Embedded in a Porous Medium

1987 ◽  
Vol 109 (1) ◽  
pp. 26-30 ◽  
Author(s):  
R. S. R. Gorla ◽  
A. H. Zinalabedini
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Surface Temperature ◽  
Energy Equation ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Convection Flow ◽  
Published Data ◽  
Universal Functions ◽  
Free Convection Flow

A procedure is described for the calculation of heat transfer due to free convection flow along a vertical plate embedded in a porous medium with an arbitrarily varying surface temperature. By applying the appropriate coordinate transformations and the Merk series, the governing energy equation is expressed as a set of orindary differential equations. Numerical solutions are presented for these equations which represent universal functions and the surface gradients of these universal functions are tabulated. Several computational examples are provided and the results are compared with published data in the case of two examples.

scholarly journals Effects of Hall current on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate with Newtonian heating

2016 ◽  
Vol 21 (1) ◽  
pp. 187-203 ◽  
Author(s):  
G.S. Seth ◽  
S. Sarkar ◽  
R. Sharma
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Free Convection ◽  
Vertical Plate ◽  
Numerical Solutions ◽  
Hall Current ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Partial Differential ◽  
Present Solution

Abstract An investigation of unsteady hydromagnetic free convection flow of a viscous, incompressible and electrically conducting fluid past an impulsively moving vertical plate with Newtonian surface heating embedded in a porous medium taking into account the effects of Hall current is carried out. The governing partial differential equations are first subjected to the Laplace transformation and then inverted numerically using INVLAP routine of Matlab. The governing partial differential equations are also solved numerically by the Crank-Nicolson implicit finite difference scheme and a comparison has been provided between the two solutions. The numerical solutions for velocity and temperature are plotted graphically whereas the numerical results of skin friction and the Nusselt number are presented in tabular form for various parameters of interest. The present solution in special case is compared with a previously obtained solution and is found to be in excellent agreement.

scholarly journals Aligned Magnetic Field, Radiation, and Rotation Effects on Unsteady Hydromagnetic Free Convection Flow Past an Impulsively Moving Vertical Plate in a Porous Medium

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Sandeep Naramgari ◽  
Sugunamma Vangala ◽  
Mohankrishna Penem
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Porous Medium ◽  
Free Convection ◽  
Vertical Plate ◽  
Convection Flow ◽  
Governing Equations ◽  
Free Convection Flow ◽  
Field Radiation ◽  
Aligned Magnetic Field

We analyse the effects of aligned magnetic field, radiation, and rotation on unsteady hydromagnetic free convection flow of a viscous incompressible electrically conducting fluid past an impulsively moving vertical plate in a porous medium in presence of heat source. An exact solution of the governing equations in dimensionless form is obtained by Laplace transform technique in ramped temperature case. To compare the results obtained in this case with that of isothermal plate, the exact solution of the governing equations is also obtained for isothermal plate and results are discussed graphically in both ramped temperature and isothermal cases.

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