Abstract: In this work an analysis of steady free convection flow of water at 4℃ passing a vertical infinite porous plate in a rotating system is considered. Approximate solutions for the coupled nonlinear equations are obtained for the velocity and the temperature. The effect of E’ (Eckman number) is discussed, when P (prandtl number)=11.4, which corresponds to water at 4℃.

Key words: viscoelastic column, fractional derivative constitutive relation, averaging method, weakly singular Volterra integro-differential equation, dynamical stability