Abstract

The present article investigates the entropy generation rate in the nonlinear convective flow of a reactive couple stress liquid through a channel filled with saturated materials and subjected to convective cooling. Analytical solutions of the coupled nonlinear boundary-value problems arising from the mathematical formulation are obtained by using the Homotopy Analysis Method (HAM). The analytical solutions are further validated numerically with the fourth order Runge-Kutta (RK4) to establish the accuracy of the method. Velocity, temperature, entropy generation, and heat irreversibility ratio profiles are presented and discussed extensively. The result of the computation shows that entropy generation increases significantly with increasing buoyancy parameter.

Highlights

  • IntroductionOver the last few years, energy conversion and management has experienced a tremendous attention because of the need to reduce energy wastage

  • Over the last few years, energy conversion and management has experienced a tremendous attention because of the need to reduce energy wastage. For this to be achievable, it is important to minimize energy loss from heat transfer and dissipation to boost the exergy of the thermal system. In view of this fact, a good number of researchers have been working on ways to enhance the performance of thermal systems based on the second law of thermodynamics method

  • At the forefront, of the study is Bejan [1, 2, 3] in which, thermodynamics laws are incorporated into equations governing fluid flow

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Summary

Introduction

Over the last few years, energy conversion and management has experienced a tremendous attention because of the need to reduce energy wastage For this to be achievable, it is important to minimize energy loss from heat transfer and dissipation to boost the exergy of the thermal system. At the forefront, of the study is Bejan [1, 2, 3] in which, thermodynamics laws are incorporated into equations governing fluid flow. Following his analysis, Sobamowo and Akinshilo [4] presented a perturbative approach to analyzing the entropy generation in a fourthgrade fluid. For the sake of brevity, interested readers can see more interesting results in on thermodynamics analysis in [14, 15, 16, 17, 18] and the references contained

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