Version 1
: Received: 16 April 2023 / Approved: 17 April 2023 / Online: 17 April 2023 (08:21:46 CEST)
How to cite:
Onyancha, C.; Kerongo, J.; Bulinda, V. Optimization of Magnetohydrodynamic Parameters in Two- Dimensional Incompressible Fluid Flow on a Porous Channel. Preprints2023, 2023040427. https://doi.org/10.20944/preprints202304.0427.v1
Onyancha, C.; Kerongo, J.; Bulinda, V. Optimization of Magnetohydrodynamic Parameters in Two- Dimensional Incompressible Fluid Flow on a Porous Channel. Preprints 2023, 2023040427. https://doi.org/10.20944/preprints202304.0427.v1
Onyancha, C.; Kerongo, J.; Bulinda, V. Optimization of Magnetohydrodynamic Parameters in Two- Dimensional Incompressible Fluid Flow on a Porous Channel. Preprints2023, 2023040427. https://doi.org/10.20944/preprints202304.0427.v1
APA Style
Onyancha, C., Kerongo, J., & Bulinda, V. (2023). Optimization of Magnetohydrodynamic Parameters in Two- Dimensional Incompressible Fluid Flow on a Porous Channel. Preprints. https://doi.org/10.20944/preprints202304.0427.v1
Chicago/Turabian Style
Onyancha, C., Joash Kerongo and Vincent Bulinda. 2023 "Optimization of Magnetohydrodynamic Parameters in Two- Dimensional Incompressible Fluid Flow on a Porous Channel" Preprints. https://doi.org/10.20944/preprints202304.0427.v1
Abstract
Optimization of Magnetohydrodynamics parameters on the velocity profile and temperature distribution of incompressible fluid flow on a porous channel was evaluated. The fluid flow was considered to be unsteady, incompressible and flowing in 2-D in porous channel. The effects of magnetic parameter, Darcy’s number and fluid pressure on velocity profiles, and the effect of variable viscosity and Eckert number on temperature distribution in incompressible fluid flow were determined. The flow was considered to be in a channel running along the x-axis on which the magnetic field exist and finally along the y-axis on the porous part of the channel. The resulting model equations were solved by Finite Difference Method (FDM) in MATLAB software. Analysis of results indicated that increasing Darcy’s number and fluid pressure leads to increase in fluid velocity profile, while increasing magnetic parameter decreases fluid velocity profile. Also, it was observed that increase in both Eckert number and fluid viscosity lead to increase in temperature distribution. Optimization in temperature was achieved by increasing the magnetic field while viscosity was optimized by increasing the length of the porous part of the channel. This study will helpful to contribute alternative equations and methodology to engineering and in factories where getting the MHD parameters optimally is the main objective, particularly on temperature, velocity and pressure.
Keywords
Magnetohydrodynamics; Finite Difference Method; Central Scheme; Optimization.
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
