TY - JOUR

T1 - Free convection flow in a microchannel filled with porous material having temperature-dependent thermal conductivity

AU - Hamza, Muhammed Murtala

AU - Abubakar, Auwal Bala

AU - Panyanak, Bancha

AU - Pakkaranang, Nuttapol

N1 - Publisher Copyright:
© 2022 John Wiley & Sons, Ltd.

PY - 2022

Y1 - 2022

N2 - This paper investigates the impact of Darcy number and variable thermal conductivity on MHD free convective heat transfer in a microchannel. Approximate solution of the problem is obtained by using semi-analytical method. Most of the fluid physical properties associated with flow are displayed, analyzed, and discussed. From the results, it is found that Darcy number reduces fluid velocity in case of asymmetric heating of the microchannel at the lower plate while fluid velocity is enhanced at the upper plate. It is also observed that variable thermal conductivity enhances fluid velocity in case of both asymmetric and symmetric heating of the microchannel bounding walls. It is further seen that there is point of intersection around the center of the microchannel when both variable thermal conductivity and Darcy number are increased.

AB - This paper investigates the impact of Darcy number and variable thermal conductivity on MHD free convective heat transfer in a microchannel. Approximate solution of the problem is obtained by using semi-analytical method. Most of the fluid physical properties associated with flow are displayed, analyzed, and discussed. From the results, it is found that Darcy number reduces fluid velocity in case of asymmetric heating of the microchannel at the lower plate while fluid velocity is enhanced at the upper plate. It is also observed that variable thermal conductivity enhances fluid velocity in case of both asymmetric and symmetric heating of the microchannel bounding walls. It is further seen that there is point of intersection around the center of the microchannel when both variable thermal conductivity and Darcy number are increased.

KW - free convection flow

KW - microchannel

KW - porous material

KW - symmetric/asymmetric heating

KW - temperature-dependent thermal conductivity

UR - http://www.scopus.com/inward/record.url?scp=85125071125&partnerID=8YFLogxK

U2 - 10.1002/mma.8148

DO - 10.1002/mma.8148

M3 - Article

AN - SCOPUS:85125071125

SN - 0170-4214

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -