Thermal Transfer in MHD Convective Flow of Cu – H2O Nanofluid in a Porous Medium with Heat Generation/Absorption

International Journal of Research and Innovation in Applied Science (IJRIAS) | Volume VI, Issue X, October 2021|ISSN 2454-6194

Thermal Transfer in MHD Convective Flow of Cu – H2O Nanofluid in a Porous Medium with Heat Generation/Absorption

 Dr. Wisdom Hezekiah Achogo ¹, Eleonu, Blessing Chikaodi², Nnoka, Love Cherukei^2
1Department of Mathematics/Statistics, Ignatius Ajuru University of Education, P.M.B 5047 Rumuolumeni, Nigeria
²Department of Mathematics/Statistics, Captain Elechi Amadi Polytechnic Rumuola, P.M.B 5936 Port Harcourt, Nigeria

Abstract: The study investigated thermal transfer in MHD convective flow of Cu-H2O nanofluid in a porous medium with heat generation/absorption. A set of partial differential equations with copper nanoparticles were used. The partial differential equations were non-dimensioned with various dimensionless quantities in order to obtain forms whose solutions can be easily obtained. The partial differential equations were later transformed into ordination differential equations through a two term perturbation technique which were later solved using method of undetermined coefficient to obtain the exact solutions for the energy and momentum equations. Using the exact solutions; plots were done with the aid of standard parameters to estimate the variational effects of parameters that entered the flow field and from the plots; it was observed that thermal radiation decreased the temperature of the fluid. Heat generation/absorption parameter increased the temperature of the fluid. The effective thermal conductivity increased the temperature of the fluid. Peclet number decreased the velocity of the fluid. Reynolds number decreased the fluid velocity.

Keywords: Entropy generation, Nanofluid, Magnetohydrodynamics(MHD)

I.INTRODUCTION

Thermal conductivity plays a vital role in warmness transfer enhancement. Conventional heat switch fluids along with water, ethylene glycol (EG), kerosene oil and lubricant oils have negative thermal conductivities compared to solids. Solids debris however has better thermal conductivities in comparison to traditional warmth switch fluids. Choi (1995) in his pioneering paintings indicated that when a small quantity of nanoparticles .is added to not unusual base fluids, it will increase extensively the thermal conductivity of the base fluids in addition to their convective warmness transfer rate. This combination is known as nanofluids. More precisely, nanofluids are suspensions of nano-length debris in base fluids. Usually nanofluids include specific sorts of nanoparticles inclusive of oxides, metals and carbides in generally base fluids like water, EG, propylene glycol and kerosene oil. Some unique packages of nanofluids are located in various digital equipment, energy supply, energy generation, air con and manufacturing. Vajjha and Das (2009) for the first time used EG (60 %) and water (forty %) aggregate as base fluid for the preparation of alumina (Al2O3), copper oxide (CuO) and zinc oxide (ZnO) nanofluids. At the identical temperature and attention, they observed that CuO

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