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Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem

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  • 1. Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia;
    2. Department of Applied Mathematics and Science, Faculty of Engineering, National University of Science and Technology, Seeb 111, Sultanate of Oman;
    3. Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah 21589, Saudi Arabia;
    4. Department of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut 71254, Egypt;
    5. Department of Basic Science, Faculty of Engineering, The British University in Egypt, Cairo 11837, Egypt

Received date: 2022-01-07

  Revised date: 2022-03-22

  Online published: 2022-06-11

Abstract

The purpose of this investigation is to theoretically shed some light on the effect of the unsteady electroosmotic flow (EOF) of an incompressible fractional secondgrade fluid with low-dense mixtures of two spherical nanoparticles, copper, and titanium. The flow of the hybrid nanofluid takes place through a vertical micro-channel. A fractional Cattaneo model with heat conduction is considered. For the DC-operated micropump, the Lorentz force is responsible for the pressure difference through the microchannel. The Debye-Hükel approximation is utilized to linearize the charge density. The semianalytical solutions for the velocity and heat equations are obtained with the Laplace and finite Fourier sine transforms and their numerical inverses. In addition to the analytical procedures, a numerical algorithm based on the finite difference method is introduced for the given domain. A comparison between the two solutions is presented. The variations of the velocity heat transfer against the enhancements in the pertinent parameters are thoroughly investigated graphically. It is noticed that the fractional-order parameter provides a crucial memory effect on the fluid and temperature fields. The present work has theoretical implications for biofluid-based microfluidic transport systems.

Cite this article

A. M. ALSHARIF, A. I. ABDELLATEEF, Y. A. ELMABOUD, S. I. ABDELSALAM . Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem[J]. Applied Mathematics and Mechanics, 2022 , 43(6) : 931 -944 . DOI: 10.1007/s10483-022-2854-6

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