Analytical Investigation of Arrhenius Kinetics with Heat Source/Sink Impacts along a Heated Superhydrophobic Microchannel

Godwin Ojemeri; Isaac Onwubuya Obiajulu; Emmanuel Omokhuale; Abdullahi Hussaini; Abdulsalam Shuaibu

doi:10.56919/usci.2431.004

Authors

Godwin Ojemeri Department of Mathematics, College of Sciences, Federal University of Agriculture, P. M. B. 28, Zuru, Kebbi State, Nigeria https://orcid.org/0000-0002-0703-0697
Isaac Onwubuya Obiajulu Department of Mathematics, Faculty of Sciences, Air Force Institute of Technology, P. M. B. 2104, Kaduna State, Nigeria https://orcid.org/0000-0003-4360-5408
Emmanuel Omokhuale Department of Mathematics, Faculty of Sciences, Federal University Gusau, P. M. B. 1001, Zamfara State, Nigeria https://orcid.org/0000-0003-4360-5408
Abdullahi Hussaini Department of Mathematics, Sokoto State University, P. M. B. 2134, Sokoto State, Nigeria
Abdulsalam Shuaibu https://orcid.org/0000-0002-8241-7568

DOI:

https://doi.org/10.56919/usci.2431.004

Keywords:

Free convection, Arrhenius kinetics, superhydrophobic slip, heat generation/absorption, slit micro-channel

Abstract

Exothermic Arrhenius-controlled chemical reactions are widely employed for heating applications, such as combustion in heating systems and fuel-burning motors. These effects are critical for manufacturing high thermal systems required for high thermal performances. Therefore, this paper presents the analytical investigation into the Arrhenius-controlled heat-generating/absorbing fluid of a hydromagnetic flow along a heated upstanding plate in a microchannel. One wall had a superhydrophobic surface and temperature jump conditions, but the other was unaltered. The regular perturbation approach investigated the nonlinear, coupled governing equations. With the help of graphical plots, the impacts of crucial and relevant parameters embedded in the flow are described. This investigation concludes that chemically reacting parameters' impact significantly elevates the micro-channel's thermal and hydromagnetic flow. However, applying the heat generation parameter increases fluid velocity, whereas the heat absorption parameter produces the contrary effect. The outcomes of this study can be relevant to the field of biomedical sciences and devices for improving heat transfer efficiency, chemical synthesis, enhancing the performances of micro-electro-mechanical systems (MEMS) and mini-devices, heating and energy generation, designing efficient energy conversion processes, and so on.

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Analytical Investigation of Arrhenius Kinetics with Heat Source/Sink Impacts along a Heated Superhydrophobic Microchannel

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