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Peristaltic Flow of Dusty Nanofluids in Curved Channels

Z. Z. Rashed¹, Sameh E. Ahmed^2,*

1 Mathematics Department, Jouf University, Qurayyat, Saudi Arabia
2 Department of Mathematics, King Khalid University, Abha, Saudi Arabia

* Corresponding Author: Sameh E. Ahmed. Email:

Computers, Materials & Continua 2021, 66(1), 1012-1026. https://doi.org/10.32604/cmc.2020.012468

Received 01 July 2020; Accepted 12 August 2020; Issue published 30 October 2020

Abstract

In this paper, numerical investigations for peristaltic motion of dusty nanofluids in a curved channel are performed. Two systems of partial differential equations are presented for the nanofluid and dusty phases and then the approximations of the long wave length and low Reynolds number are applied. The physical domain is transformed to a rectangular computational model using suitable grid transformations. The resulting systems are solved numerically using shooting method and mathematical forms for the pressure distributions are introduced. The controlling parameters in this study are the thermal buoyancy parameter Gr, the concentration buoyancy parameter Gc, the amplitude ratio ϵ, the Eckert number Ec, the thermophoresis parameter N_t and the Brownian motion parameter N_b and the dusty parameters D_s, α_s. The obtained results revealed that an increase in the Eckert number enhances the temperature of the fluid and dusty particles while the nanoparticle volume fraction is reduced. Also, both of the temperature and nanoparticles volume fraction are supported by the growing of the Brownian motion parameter.

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Keywords

Peristaltic motion; dusty particles; nanofluid; curved channels

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Cite This Article

Z. Z. Rashed and S. E. Ahmed, "Peristaltic flow of dusty nanofluids in curved channels," Computers, Materials & Continua, vol. 66, no.1, pp. 1012–1026, 2021. https://doi.org/10.32604/cmc.2020.012468

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