Thermal Properties of Couple-Stress Fluid Flow in an Asymmetric Channel With Peristalsis

Author:

Abd elmaboud Y.1,Mekheimer Kh. S.2,Abdellateef A. I.3

Affiliation:

1. Mathematics Department, Faculty of Science and Arts, Khulais, King Abdulaziz University (KAU), Saudi Arabia; Mathematics Department, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut 71524, Egypt

2. Faculty of Science, Mathematics & Statistic Department, Taif University, Hawia (888) Taif, Saudi Arabia; Faculty of Science (Men), Mathematical Department, Al-Azhar University, 11884 Nasr City, Cairo, Egypt

3. Basic Science Department, Higher Institute of Engineering, Shorouk City, Cairo, Egypt

Abstract

The heat transfer characteristics of a couple-stress fluid (CSF) in a two-dimensional asymmetric channel is analyzed. The channel asymmetry is produced by choosing the peristaltic wave train on the walls to have different amplitudes and phase. Mathematical modeling corresponding to the two-dimensional couple stress fluid is made. Analytical expressions for the axial velocity, stream function, heat transfer, and the axial pressure gradient are established using long wavelength assumption. Numerical computations have been carried out for the pressure rise per wavelength. The influence of various parameters of interest is seen through graphs on frictional forces, pumping and trapping phenomena, and temperature profile.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference28 articles.

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2. Poiseuille Flow of a Fluid With Couple Stress With Application to Blood Flow;Biorheology,1969

3. Peristaltic Transport of a Couple-Stress Fluid;Rheol. Acta,1986

4. Couple-Stresses in Peristaltic Transport of Fluids;J. Phys. D: Appl. Phys.,1994

5. Peristaltic Transport of a Couple-Stress Fluid in a Uniform and Non-Uniform Channels;Biorheology,2002

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