New Analytical Study of Non-Newtonian Jeffery Hamel Flow of Casson Fluid in Divergent and Convergent Channels by Perturbation Iteration Algorithm

Abstract

Perturbation iteration algorithm  (PIA)  is used to solve Jeffery Hamel flow problem of non-Newtonian fluid which is Casson  fluid  (JHFCF) to simplify a suitable  transformation  of  similarities that applied to obtain a non- linear ordinary differential equation. The resulting equation is solved by PIA and numerically using fourth order Runge  Kutta (RK4). Both solutions are compared by the variance of the parameter method  (VPM)  in order to check the efficacy of the provided  (PIA) approach. For both diverging and converging channels, the influences of the parameters are demonstrated by graphical simulation.