Dual approximate solutions of the unsteady viscous flow over a shrinking cylinder with optimal homotopy asymptotic method

Abstract

The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. The dual solutions exist for a certain range of mass suction and unsteadiness parameters. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration. © 2014 Vasile Marinca and Remus-Daniel Ene.