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Article
Publication date: 22 January 2025

Adeola John Omowaye, Adedayo Naheem Adesina, Taoqer Ayobami Aleem, Joshua Ayodeji Omowaye and Samuel Olukayode Ayinde

The purpose of this study is to investigate the impact of Arrhenius kinetics on hydromagnetic free convection of an electrically conducting fluid flowing past a vertically…

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Abstract

Purpose

The purpose of this study is to investigate the impact of Arrhenius kinetics on hydromagnetic free convection of an electrically conducting fluid flowing past a vertically stretched sheet maintained at a constant temperature, considering viscous dissipation. In this study, the understanding of the Biot number is essential for comprehending and enhancing heat transfer processes in a flow. Mastering this concept is crucial for the efficient design and management of various industrial and natural systems. The effect of Newtonian heating is accurately addressed by adjusting the traditional temperature boundary condition.

Design/methodology/approach

The presiding inconsistent Partial differential equations are contrasted to ordinary differential equations by similitude changes and the solutions are completed numerically by fourth-order Runge-Kutta (RK-4) and shooting procedures. Tables and graphs feature vividly in annotating the outcomes of changing parameters on the flow.

Findings

Notably, the Biot number significantly impacts temperature gradients and distribution, which subsequently affect the flow’s velocity and thermal characteristics; that is, velocity and temperature contours increase directly to an upsurge in the Biot number. Contrasting with existing work, a perfect harmony is experienced. Arrhenius kinetics are essential for predicting and managing fluid flow behaviour in systems where reactions are sensitive to temperature. Grasping this relationship helps engineers and scientists enhance process efficiency, ensure safety and optimize fluid-based systems. Similarly, Newtonian heating significantly impacts fluid flow by affecting temperature distribution, viscosity, buoyancy-driven flows and flow stability. Mastering the control of this heating process is vital in both natural and engineered fluid systems. Technical applications of this research include variation cooling and atomic power generation refrigeration.

Originality/value

The distinguishing quality of this research lies in the scrutiny of Arrhenius steady hydromagnetic heat transfer to natural convection flow in a stretching upright sheet: viscous dissipation and Newtonian heating. To best of the authors’ understanding, a problem like this has not been considered. The findings in this work will give useful information to scientists and engineers.

Details

World Journal of Engineering, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1708-5284

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Article
Publication date: 20 December 2024

Adeola John Omowaye, Taoqer Ayobami Aleem, Adedayo Naheem Adesina and Samuel Olukayode Ayinde

The purpose of this research is to investigate the behavior of continuous hydromagnetic convective fluid within a porous medium. In this study, all fluid properties are assumed to…

4

Abstract

Purpose

The purpose of this research is to investigate the behavior of continuous hydromagnetic convective fluid within a porous medium. In this study, all fluid properties are assumed to remain constant, except for viscosity, which varies inversely with temperature. Additionally, the fluid experiences Newtonian heating, and the effects of the Dufour and Soret phenomena are considered. The study also examines how controlling constants affect the velocity, temperature and concentration profiles.

Design/methodology/approach

The model equations are transformed to ordinary differential equations adopting similarity transformations. The resulting coupled nonlinear differential equations are then solved numerically using the shooting method combined with the fourth order Runge-Kutta (RK-4) technique. The effects of varying parameters on the flow are presented through graphs and tables.

Findings

The consequences of supervising constants on the flow are encapsulated in charts. The findings are that the Biot number is crucial in determining the temperature distribution within a solid during transient heat transfer; a reduction in the velocity chart is experienced as the size of suction grows; the temperature distribution over the upright heated plate escalates dramatically as Dufour(Du) shot up; and a rise in fluid velocity as the Soret parameter increases. The current results are annotated in sketches for better understanding. Findings are authenticated in contrast with published works. Finally, viscosity dependent on temperature and Newtonian heating are crucial in determining the flow characteristics, heat transfer efficiency, pressure drop, flow stability and overall performance of fluid systems. Understanding and accounting for these variations are essential for the optimal design and operation of engineering applications involving fluids.

Originality/value

The peculiarity of the research is perusal of exploration of viscosity dependent on temperature and Newtonian heating above steady hydromagnetic convective flow in a percolating environment: Soret, Dufour consequences. To the best of authors’ understanding, problem like this has not been considered. The findings in this work will give a useful information to scientists and engineers.

Details

World Journal of Engineering, vol. ahead-of-print no. ahead-of-print
Type: Research Article
ISSN: 1708-5284

Keywords

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Article
Publication date: 9 October 2019

Bidemi Olumide Falodun and Adeola John Omowaye

This paper aims to address the problem of double-diffusive magnetohydrodynamics (MHD) non-Darcy convective flow of heat and mass transfer over a stretching sheet embedded in a…

81

Abstract

Purpose

This paper aims to address the problem of double-diffusive magnetohydrodynamics (MHD) non-Darcy convective flow of heat and mass transfer over a stretching sheet embedded in a thermally-stratified porous medium. The controlling parameters such as chemical reaction parameter, permeability parameter, etc., are extensively discussed and illustrated in this paper.

Design/methodology/approach

With the help of appropriate similarity variables, the governing partial differential equations are converted into ordinary differential equations. The transformed equations are solved using the spectral homotopy analysis method (SHAM). SHAM is a numerical method, which uses Chebyshev pseudospectral and homotopy analysis method in solving science and engineering problems.

Findings

The effects of all controlling parameters are presented using graphical representations. The results revealed that the applied magnetic field in the transverse direction to the flow gives rise to a resistive force called Lorentz. This force tends to reduce the flow of an electrically conducting fluid in the problem of heat and mass transfer. As a result, the fluid velocity reduces in the boundary layer. Also, the suction increases the velocity, temperature, and concentration of the fluid, respectively. The present results can be used in complex problems dealing with double-diffusive MHD non-Darcy convective flow of heat and mass transfer.

Originality/value

The uniqueness of this paper is the examination of double-diffusive MHD non-Darcy convective flow of heat and mass transfer. It is considered over a stretching sheet embedded in a thermally-stratified porous medium. To the best of the knowledge, a problem of this type has not been considered in the past. A novel method called SHAM is used to solve this modelled problem. The novelty of this method is its accuracy and fastness in computation.

Details

World Journal of Engineering, vol. 16 no. 6
Type: Research Article
ISSN: 1708-5284

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