journal article·2023-06-01Open access

Investigation of Williamson nanofluid in a convectively heated peristaltic channel and magnetic field via method of moments

Khalid Abdulkhaliq M. Alharbi, Adnan, Sayed M. Eldin, Ali Akgul

AIP Advances· Volume 13· Issue 6

Abstract

The study of Williamson nanofluid under peristaltic pumping is conducted in this work. The model equations are developed using the magnetic field and convection effects, and consequently, a nonlinear system of ordinary differential equations is achieved. Then, the residual method based on a linearly independent set of functions known as method of moments is implemented and portrayed as the results under the parameters’ variations. The model results revealed that the peristaltic pumping can be controlled by increasing the values of Gr and Gc; however, the dual effects of the directed magnetic field on the movement of Williamson fluid are examined. The heat transfer augmentation is observed for a stronger Brinkman number and it is higher toward the channel walls. Similarly, the thermophoretic effect and Brownian motion of the particles highly affect the concentration of Williamson nanofluid.
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Research context

OpenAlex topics: Nanofluid Flow and Heat Transfer · Heat Transfer and Optimization · Fluid Dynamics and Thin Films

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mechanical Engineering Department, College of Engineering, Umm Al-Qura University 1 , Makkah 24382, Saudi Arabia

Department of Mathematics, Mohi-ud-Din Islamic University 2 , Nerian Sharif AJ&K, Trarkhel 12080, Pakistan

Center of Research, Faculty of Engineering, Future University in Egypt 3 , New Cairo 11835, Egypt

Department of Computer Science and Mathematics, Lebanese American University 4 , Beirut, Lebanon

Department of Mathematics, Art and Science Faculty, Siirt University 5 , 56100 Siirt, Turkey

Department of Mathematics, Mathematics Research Center, Near East University 6 , Near East Boulevard, Nicosia/Mersin 10, PC: 99138, Turkey

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