Comparative Study of Non-Isothermal Poiseuille Flow of Couple Stress Fluid in Reynolds Model Between Inclined Plates Using Two Homotopy-Based Methods

This work examines the Poiseuille flow of the Reynolds model's non-isothermal couple stress fluid between heated inclined plates. Using the Optimal Homotopy Asymptotic Method with DJ Polynomials (OHAM-DJ) and the Asymptotic Homotopy Perturbation method (AHPM), the strongly non-linear system of ordinary differential equations have been studied. The AHPM and OHAM-DJ have been used to approximate the results for the velocity profile, shear stress, temperature distributions, average velocity and volume flux. It is important to note that the outcomes obtained from these two methods closely resemble one another. In addition to being shown graphically, the impact of various factors on the flow problem have been investigated mathematically.

Keywords:

Couple Stress Fluid , Optimal Homotopy Asymptotic Method , Asymptotic Homotopy , Perturbation method , Poiseuille Flow , Reynolds Model , Non-isothermal Poiseuille flow , Inclined plates