Entropy Generation on Thermal Transfer in MHD Natural Convection of Cu – H2O Nanofluid in a Porous Medium with Heat Generation/Absorption

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

International Journal of Research and Innovation in Applied Science, 2021, vol. 6, issue 7, 59-69

Abstract: The study investigated entropy generation on thermal transfer in MHD natural convection 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. The exact solutions for momentum and energy were later used to estimate the entropy generation. 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. Peclet number, Reynolds number and heat generation rapidly increased and decreased the entropy generation at the lower and upper plates respectively.

Date: 2021
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