Comparative Study of Plane Poiseuille Flow of Non-isothermal ‎Couple ‎Stress Fluid of Reynold Viscosity Model using Optimal ‎Homotopy ‎Asymptotic Method and New Iterative Method

Abstract

In this paper, we have explored the steady Poiseuille flow of couple stress fluid between two parallel plates under ‎the influence of non-isothermal effects of Reynold viscosity model, using Optimal Homotopy Asymptotic Method ‎‎(OHAM) and New Iterative Method (NIM). We obtained expressions for velocity profile, temperature distribution, ‎average velocity, volume flux and shear stress. The solutions obtained using these methods are in the form of ‎infinite series; therefore, they can be easily computed. Comparative results of solutions obtained by both methods ‎are given using different tables and graphs.

Keywords

• optimal homotopy asymptotic method
• new iterative method
• couple stress fluid