Journal of Computational Applied Mechanics

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

Document Type : Research Paper

Authors

1 Department of Mathematics, Abdul Wali Khan University, Mardan, KP, 23200, Pakistan

2 UniSa STEM, University of South Australia

3 Operational Research Center in Healthcare, Near East University, 99138, Nicosia/TRNC Mersin 10, Turkey

4 Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138, Nicosia/TRNC Mersin 10, Turkey

5 Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02841, South Korea

Abstract

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

Main Subjects

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Journal of Computational Applied Mechanics
Volume 56, Issue 3
July 2025
Pages 587-601
  • Receive Date: 20 March 2025
  • Accept Date: 28 May 2025