FINITE-DIFFERENCE ANALYSIS OF UNSTEADY NATURAL-CONVECTION FLOW ALONG AN INCLINED PLATE WITH VARIABLE SURFACE-TEMPERATURE AND MASS DIFFUSION

An analysis is performed to study the transient laminar natural convec tion flows along an inclined semi-infinite flat plate in which the wal l temperature T-w' and species concentration on the wall C:, vary as t he power of the axial co-ordinate in the form T-w'(x) = T-infinity' ax(n) and C-w' = C-infinity' + bx(m) respectively. The dimensionless g overning equations considered here are unsteady, two-dimensional, coup led and non-linear integro-differential equations. A finite difference scheme of Crank-Nicolson type is employed to solve the problem. The v elocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are studied in detail for various sets of values of p arameters. Correlation equations are also established for Nusselt numb er and Sherwood number in terms of parameters.