governing Equations

We consider the steady, two-dimensional incompressible, laminar boundary layer flow with heat and mass transfer for Blasius and Sakiadis flows in the presence of variable parameters about a flat plate in a stream of cold fluid temperature \(T_{\infty}\) and hot fluid at temperature\(T_{f}\) which provides a heat transfer coefficient \(h_{f}\). Let the\(x\)-axis be taken along the direction of plate and \(y\)-axis normal to it. If \(u,\ v,\ T\) and \(C\) are the fluid \(x\)-component of velocity, \(y\)-component of velocity, temperature and concentration respectively, then under the Boussinesq and boundary layer approximations, the governing partial differential equations are given as \(\mathbf{[7,20,21,22]}\);