Heat and fluid flow due to non-linearly stretching surfaces

An analysis is presented for the laminar boundary layer flow induced in a quiescent fluid by a permeable stretched flat surface with velocity uw(x) x1/3. A prescribed power-law surface temperature (PST) distribution TwðxÞ ¼ T1 þ A xL m at y ¼ 0 is considered. The influences of the exponent m as well as the effects of suction/blowing parameter b on similar entrainment velocity f1, flow and heat transfer characteristics are studied. To this end, the resulting ordinary differential equations are solved numerically using the 4th order Runge–Kutta method in combination with a shooting procedure. It is found that m = 2/ 3 provides an exact solution for the stated problem, and the constant surface temperature (CST) case is also analyzed. The obtained results elucidate reliability and efficiency of the technique from which interesting features between the wall heat flux and the entrainment velocity f1 as function of the mass transfer parameter b can also be obtained.