Numerical study on a vertical plate with variable viscosity and thermal conductivity |
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Authors: | G Palani Kwang-Yong Kim |
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Institution: | (1) Department of Mathematics, Faculty of Science, Helwan University, Ain Helwan, P.O. Box 11795, Cairo, Egypt |
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Abstract: | Free convection over an isothermal vertical plate immersed in a fluid with variable viscosity and thermal conductivity is
studied in this paper. We consider the two-dimensional, laminar and unsteady boundary layer equations. Using the appropriate
variables, the basic governing equations are transformed to non-dimensional governing equations. These equations are then
solved numerically using a very efficient implicit finite difference scheme known as Crank–Nicolson scheme. The fluid considered
in this study is of viscous incompressible fluid of temperature dependent viscosity and thermal conductivity. The effect of
varying viscosity and thermal conductivity on velocity, temperature, shear stress and heat transfer rate are discussed. The
velocity and temperature profiles are compared with previously published works and are found to be in good agreement. |
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