Optimal Homotopy Asymptotic Method for Flow and Heat Transfer of a Viscoelastic Fluid in an Axisymmetric Channel with a Porous Wall

Mabood, Fazle ; Khan, Waqar A. ; Ismail, Ahmad Izani Md.;

In this article, an approximate analytical solution of flow and heat transfer for a viscoelastic fluid in an axisymmetric channel
with porous wall is presented. The solution is obtained through the use of a powerful method known as Optimal Homotopy
Asymptotic Method (OHAM). We obtained the approximate analytical solution for dimensionless velocity and temperature
for various parameters. The influence and effect of different parameters on dimensionless velocity, temperature, friction
factor, and rate of heat transfer are presented graphically. We also compared our solution with those obtained by other
methods and it is found that OHAM solution is better than the other methods considered. This shows that OHAM is reliable
for use to solve strongly nonlinear problems in heat transfer phenomena.