Application of Laplace Transform to Newtonian Fluid Problems

Rachana Mathur, Sarita Poonia

Abstract: Laplace transform is employed to solve the following three problems of Newtonian fluid flow on an infinite plate: (i) Stokes first problem for suddenly started plate and suddenly stopped plate, (ii) flow on an infinite plate, (iii) Ekman layer problem. Solutions are compared with those of Laplace transform and similarity methods. The results reveal that the method is very effective and simple.

Keywords: Stokes first problem, Ekman layer, Laplace transform, Exact solutions