Dual-phase-lag heat transfer model in hydromagnetic second grade flow through a microchannel filled with porous material: A time-bound analysis

Dual-phase-lag heat transfer model in hydromagnetic second grade flow through a microchannel filled with porous material: A time-bound analysis

Mehari Fentahun Endalew Subharthi Sarkar* Gauri Shanker Seth Oluwole Daniel Makinde 

Department of Mathematics, Kalinga Institute of Industrial Technology (KIIT), Bhubaneswar-751024, Odisha, India

Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines Dhanbad), Dhanbad 826004, Jharkhand, India

Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa

Corresponding Author Email: 
sarkar.ism@gmail.com
Page: 
173-194
|
DOI: 
https://doi.org/10.3166/RCMA.28.173-194
| |
Published: 
30 June 2018
| Citation

ACCESS

Abstract: 

An investigation is carried out to analyze effect of dual-phase-lag heat conduction model on the thermal and hydrodynamic behavior of MHD second grade fluid flow through a vertical microchannel filled with porous material. The governing partial differential equations are solved by using Laplace transform method while its inversion is done numerically using INVLAP subroutine of MATLAB. The numerical values of fluid velocity and fluid temperature are demonstrated graphically while skin friction and heat transfer rate are presented in tabular form for different values of pertinent flow parameters. Time bounded effects of various important flow parameters influencing unsteady MHD second grade fluid flow with dual-phase-lag heat conduction model has been captured and physically justified for the first time. It is found that an increment of the magnetic field parameter reduces fluid velocity because of Lorentz force that slows down the motion of fluid flow. The impact of second grade flow parameter turns out to be more articulated with the progression of time as well. In this paper, an attempt has been made to overpass the intermediate region of unsteady flow under dual-phase-lag heat transfer with unsteady flow under Fourier heat transfer. The novelty raised in this article will help to advance the design of mechanical systems in micro-devices involving second grade MHD flow where non-Fourier heat mode of transfer takes place.

Keywords: 

 dual-phase-lag heat transfer, microchannel, second grade fluid, porous material, MHD flow

1. Introduction
2. Mathematical formulation and solution of the problem
3. Discussion of results
4. Conclusions
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