Fourier-Homotopy Perturbation Method for Heat and Mass Transfer with 2D Unsteady Squeezing Viscous Flow Problem

In this article, an analytical technique has been proposed for solving the model of heat and mass transfer in the unsteady squeezing flow between parallel plates. The procedure of combining the Fourier transform and the homotopy perturbation method to yield a new technique was successful. The similarity transformation idea has been used to transform the system of governing partial differential equations into the system of ordinary differential equations. The influence of the physical parameters on the velocity, temperature and concentration with different values are discussed. The numerical results of Nusselt and Sherwood numbers, coefficient of skin friction, were compared with previous published works. The convergence of the new method was also discussed theoretically and experimentally. Furthermore, tables and graphs of the new analytical solutions demonstrate possibility, usefulness to use the new algorithm to deal with many nonlinear problems, especially heat transfer problems.