Z. Naturforsch. 68a, 629 – 634
A New Reliable Approach for Two-Dimensional and Axisymmetric Unsteady Flows Between Parallel Plates
1 Department of Physics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur-303901, Rajasthan, India
2 Department of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur-303901, Rajasthan, India
3 Pro-Vice-Chancellor, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur-303901, Rajasthan, India
Received February 6, 2013 / revised May 24, 2013 / published online August 21, 2013
The main aim of this work is to present a new reliable approach to compute an approximate solution of the system of nonlinear differential equations governing the problem of two-dimensional and axisymmetric unsteady flows due to normally expanding or contracting parallel plates by the homotopy perturbation method, and the Sumudu transform is adopted in the solution procedure. The method finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The numerical solutions obtained by the proposed technique indicate that the approach is easy to implement and computationally very attractive.
Key words: Nonlinear Equation; Two-Dimensional Viscous Flow; Homotopy Perturbation Method; Sumudu Transform; Incompressible Fluid.