Heat and mass transfer of a nonlinear convective Arrhenius reactive fluid flow between two vertical plates filled with a
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Heat and mass transfer of a nonlinear convective Arrhenius reactive fluid flow between two vertical plates filled with a porous material A. T. Adeosuna
, J. A. Gbadeyanb , E. O. Titiloyec
Department of Mathematics, University of Ilorin, Ilorin, Nigeria Received: 11 August 2020 / Accepted: 29 October 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This article studied concentration and thermal effects on a steady flow of a Magnetohydrodynamics reactive fluid driven by both pressure and temperature gradients through a porous medium. The fluid is assumed to undergo exothermic chemical reaction within the channel. The dimensionless coupled nonlinear ordinary differential governing equations of the problem are derived and solved using optimal homotopy analysis method (OHAM). The validation of OHAM’s results is done by carrying out the comparison of this result with those obtained using Chebyshev collocation method and a good agreement is found. The influences of controlling parameters on the fluid velocity, temperature, concentration and heat transfer rate are analyzed using graph and quantitatively discussed. It is observed from the computational results that an increase in nonlinear convective parameters significantly enhances both the velocity and temperature profiles, while it reduces the concentration profile. The usefulness of this study can be found in crude-oil refineries.
1 Introduction Chemical reaction plays a vital role in the enhancement of heat transfer by conventional fluids. In most cases of chemical reaction, the reaction rate depends on the reactant concentration. If the reaction rate is directly proportional to the reactant concentration, such reaction is termed first-order chemical reaction. However, a reaction is of order n if reaction rate is proportional to n power of the reactant concentration [1]. Chemical reaction is of two types, exothermic and endothermic chemical reaction. Exothermic reaction is a chemical reaction in which energy is released in form of light or heat to its surroundings. As for endothermic reaction, heat is absorbed from its surroundings for a chemical reaction to occur. One of the examples of exothermic chemical reaction can be found in self-ignition process. This is the process whereby the thermal equilibrium of a material is disturbed as a result of oxidation reaction without external heat source. One of the causes of self-ignition process can be found in a combustible material of a stockpile. Heat generated from self-ignition process is useful in nuclear waste disposal, heavy oil recovery, automobile exhaust, solid combustion, and so
a e-mail: [email protected] (corresponding author) b e-mail: [email protected] c e-mail: [email protected]
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on. In the process of exothermic combustible reaction, if the heat generated is greater than the heat loss to the environment, thermal runaway may occur. Therefore, proper evaluation
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