Momentum transfer on power law-stretching plate with free stream pressure gradient

The similarity solution of laminar boundary layer driven, by the stretching surface boundary and pressure gradient, each proportional to the same power law of the downstream coordinate, based on composite reference velocity (sum of the velocities of stretching boundary and free stream) has been formulated by single set of equations, containing two parameters: beta measuring the stretch rate of the moving boundary, and the ratio of free stream velocity to composite reference velocity. The closed form exact and asymptotic solutions in special cases, approximate integral solution and general numerical solutions. have been obtained. For beta > 0 and 0 less than or equal to epsilon less than or equal to 1 solutions are unique. For beta < 0 solutions are dual for 0 < epsilon < epsilon(0) (beta), unique solution for epsilon = 0 and epsilon = epsilon(0) (beta) and no solution exists epsilon > epsilon(0) (beta). (C) 2003 Elsevier Science Ltd. All rights reserved.