Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

Manthesha; Patil B Mallikarjun; L Kavitha; K C Shobha

doi:10.17485/IJST/v14i48.1853

Article

Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i48.1853

Year: 2021, Volume: 14, Issue: 48, Pages: 3525-3536

Original Article

Mixed Convection of Williamson Fluid along an Inclined Porous Microchannel with Chemical Reaction by taking Non-Constant Thermal Conductivity: An Entropy Analysis

Manthesha¹, Patil B Mallikarjun², L Kavitha³, K C Shobha¹

¹Research Scholar, Department of Studies and Research in Mathematics, Tumkur University, Tumakuru, 572103, Karnataka, India
²Professor, Department of Studies and Research in Mathematics, Department of Mathematics, Tumkur University, Tumakuru, 572103, Karnataka, India
³Assistant Professor, Department of Mathematics, REVA University, Bengaluru, 560064, Karnataka, India

*Corresponding Author
Email: [email protected]

Received Date:06 November 2021, Accepted Date:04 December 2021, Published Date:28 December 2021

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objective: Mixed convection of Williamson fluid along an inclined porous microchannel with the influence of first-order chemical reaction is considered. The thermal conductivity kept varying throughout the flow. Boundaries of the channel are maintained with slip and jump conditions. With these conditions in this present article we are aimed to analyse the velocity, heat transfer and entropy generation in the flow. Method: The non-linear equations which govern the flow are tackled utilizing the bvp4c technique which involves the finite difference method and improved by using the Lobatto III formula. Findings: Fluid flow, heat transfer and entropy production analysis are done for the various estimations of the parameters which are affecting the flow, and the study highlights that non constant thermal conductivity and mixed convection parameters have to be maintained at lower values for the efficient energy transfer in the model. Entropy production shows the dual trend for distinct estimations of Weinsenberg number. Applications: The obtained result in the present study helps industries to analyse the efficient energy transfer in their engineering designs and thermal equipment’s. Also the flow of non- Newtonian fluid has applications in the field of blood flow, lubrication and in many engineering devices such as micro heat exchangers, micro mixers, micro cooling systems.

Keywords: Williamson fluid; Inclined microchannel; Variable thermal conductivity; Entropy production; Bejan number

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© 2021 Manthesha et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Published By Indian Society for Education and Environment (iSee)