unsteady squeezing flow

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.

In this paper, heat and mass transfer in the unsteady squeezing flow between parallel plates is analyzed using a perturbation-iteration algorithm. The similarity transformation is used to transform the governing partial differential equations into ordinary differential equations, before being solved. The solutions of the velocity, temperature and concentration are derived and sketched to explain the influence of various physical parameters. The convergence of these solutions is also discussed. The numerical results of skin friction coefficient, Nusselt number and Sherwood number are compared with previous works. The results show that the method which has been used, in this paper, gives convergent solutions with good accuracy.