SOME TWO-DIMENSIONAL FLOWS WITH COUPLE STRESSES

The effect of couple stresses on some two-dimensional flows is considered. The numerical solutions are obtained by the shooting method using the Runge–Kutta algorithm in the four flow problems for a couple stress fluid, namely, for the Blasius, Sakiadis, stretching, and stagnation-point flows. The obtained solutions are nonsimilar for the Blasius and Sakiadis flows. The results are interpreted concerning the influence of the couple stress parameter which is a measure of the polarity of a fluid. It is shown that for large values of this parameter the solution converges to the solution for a Newtonian fluid.
Автор:  Sajid M., Ali N., Abbas Z., Javed T., Imran M.
Ключевые слова:  two-dimensional flow, couple stresses, Blasius flow, Sakiadis flow, stretching flow, stagnation-point flow, numerical solution
Стр:  599