The dimensionless velocity component method is applied to transform the governing equations and its boundary conditions, instead of the traditional Falkner-Skan transformation. A temperature parameter method and a polynomial approach are used to treat variable thermophysical properties both for vapour and liquid films, respectively. The new dimensionless system of equations is computed numerically in two steps : first, shear force at the liquid-vapour interface is neglected, so that the initial values of W-xl,W-s and W-yl,W-s are obtained; and then, the calculation for a three-point boundary value problem coupling the equations of a liquid film with those of a vapour film are carried out. According to the numerical solutions and with a curving matching method, the corresponding simple and practical correlations of heat transfer coefficient and mass how rate are developed by means of the superheated temperature Delta(t infinity) of vapour and the subcooled temperature Delta t(w) of a plate besides the defined local Grashof number of liquid film, Gr(xl,s).