Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model

M. G. REDDY, S. A. SHEHZAD

doi:10.1007/s10483-021-2713-9

Applied Mathematics and Mechanics >

2021 , Vol. 42 >Issue 4: 541 - 552

DOI: https://doi.org/10.1007/s10483-021-2713-9

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Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model

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1. Department of Mathematics, Acharya Nagarjuna University Campus, Ongole 523001, Andhra Pradesh, India;
2. Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan

Received date: 2020-10-10

Revised date: 2021-01-27

Online published: 2021-03-23

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Abstract

This article intends to illustrate the Darcy flow and melting heat transmission in micropolar liquid. The major advantage of micropolar fluid is the liquid particle rotation through an independent kinematic vector named the microrotation vector. The novel aspects of the Cattaneo-Christov (C-C) heat flux and Joule heating are incorporated in the energy transport expression. Two different nanoparticles, namely, MoS₂ and MgO, are suspended into the base-fluid. The governing partial differential equations (PDEs) of the prevailing problem are slackening into ordinary differential expressions (ODEs) via similarity transformations. The resulting mathematical phenomenon is illustrated by the implication of fourth-fifth order Runge-Kutta-Fehlberg (RKF) scheme. The fluid velocity and temperature distributions are deliberated by using graphical phenomena for multiple values of physical constraints. The results are displayed for both molybdenum disulphide and magnesium oxide nanoparticles. A comparative benchmark in the limiting approach is reported for the validation of the present technique. It is revealed that the incrementing material constraint results in a higher fluid velocity for both molybdenum disulphide and magnesium oxide nanoparticle situations.

Key words： micropolar fluid; Cattaneo-Christov (C-C) heat flux; molybdenum disulphide nanoparticle; melting effect; numerical solution

Cite this article

M. G. REDDY, S. A. SHEHZAD . Molybdenum disulfide and magnesium oxide nanoparticle performance on micropolar Cattaneo-Christov heat flux model[J]. Applied Mathematics and Mechanics, 2021 , 42(4) : 541 -552 . DOI: 10.1007/s10483-021-2713-9

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