Finite difference analysis of unsteady natural convection flow along an inclined plate with variable surface temperature and mass diffusion

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作者
Ekambavanan, K. [1 ]
Ganesan, P. [1 ]
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[1] Anna Univ, Madras, India
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Correlation methods - Finite difference method - Integrodifferential equations - Laminar flow - Mass transfer - Nusselt number - Prandtl number - Temperature - Thermal diffusion - Thermal expansion - Unsteady flow - Velocity;
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摘要
An analysis is performed to study the transient laminar natural convection flows along an inclined semi-infinite flat plate in which the wall temperature T′w and species concentration on the wall C′w vary as the power of the axial co-ordinate in the form T′w(x) = T′∞ + axn and C′w = C′∞ + bxm respectively. The dimensionless governing equations considered here are unsteady, two-dimensional, coupled and non-linear integro-differential equations. A finite difference scheme of Crank-Nicolson type is employed to solve the problem. The velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are studied in detail for various sets of values of parameters. Correlation equations are also established for Nusselt number and Sherwood number in terms of parameters.
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页码:17 / 24
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