Homotopy perturbation approach for Ohmic dissipation and mixed convection effects on non-Newtonian nanofluid flow between two co-axial tubes with peristalsis

Article type: Research Article

Authors: Eldabe, Nabil T.^a | Abou-zeid, Mohamed Y.^a | Abosaliem, Adel^b | Elenna, Ahmed^b | Hegazy, Nada^b;

Affiliations: [a] Mathematics Department, Faculty of Education, Ain Shams University, Heliopolis, Cairo, Egypt | [b] Mathematics Department, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, Egypt

Correspondence: [*] Corresponding author: Nada Hegazy, Mathematics Department, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, Egypt. E-mail: [email protected]

Abstract: In this study, the effects of internal heat generation and mixed convection with thermal radiation on peristaltic motion of a non-Newtonian fluid are investigated. The fluid used is third-grade model. The flow is through the gap between two co-axial vertical tubes under the effect of radially varying magnetic field. The outer tube is flexible with sinusoidal deformations. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat transfer and nanoparticles concentration which are simplified by using long wave length and low-Reynolds number assumptions. The closed solutions of fluid temperature and nanoparticle concentration are obtained, and the solution of velocity is obtained by using the homotopy perturbation method (HPM). The radially varying magnetic field effect on the axial velocity is discussed and it is shown that the increase of magnetic field parameter tends to reduce the fluid flow.

Keywords: Non-Newtonian nanofluid, peristaltic flow, varying magnetic field, heat transfer

DOI: 10.3233/JAE-210001

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 67, no. 2, pp. 153-163, 2021