Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition
Open Access
- 18 February 2023
- journal article
- research article
- Published by Hindawi Limited in Advances in Mathematical Physics
- Vol. 2023, 1-13
- https://doi.org/10.1155/2023/7173925
Abstract
The current study examined the effects of magnetohydrodynamics (MHD) on time-dependent mixed convection flow of an exothermic fluid in a vertical channel. Convective heating and Naviers slip conditions are considered. The dimensional nonlinear flow equations are transformed into dimensionless form with suitable transformation. For steady-state flow formations, we apply homotopy perturbation approach. However, for the unsteady-state governing equation, we use numerical technique known as the implicit finite difference approach. Flow is influenced by several factors, including the Hartmann number, Newtonian heating, Navier slip parameter, Frank-Kamenetskii parameter, and mixed convection parameter. Shear stress and heat transfer rates were also investigated and reported. The steady-state and unsteady-state solutions are visually expressed in terms of velocity and temperature profiles. Due to the presence of opposing force factors such as the Lorentz force, the research found that the Hartmann number reduces the momentum profile. Fluid temperature and velocity increase as the thermal Biot number and Frank-Kamenetskii parameter increase. There are several scientific and infrastructure capabilities that use this type of flow, such flow including solar communication systems exposed to airflow, electronic devices cooled at room temperature by airflow, nuclear units maintained during unscheduled shutoffs, and cooling systems occurring in low circumstances. The current findings and the literature are very consistent, which recommend the application of the current study.Keywords
This publication has 33 references indexed in Scilit:
- Combined effect of suction/injection on MHD free-convection flow in a vertical channel with thermal radiationAin Shams Engineering Journal, 2018
- Effects of slip condition and Newtonian heating on MHD flow of Casson fluid over a nonlinearly stretching sheet saturated in a porous mediumJournal of King Saud University - Science, 2017
- Finite element analysis of heat and mass transfer by MHD mixed convection stagnation-point flow of a non-Newtonian power-law nanofluid towards a stretching surface with radiationJournal of the Egyptian Mathematical Society, 2016
- Free convection of magnetic nanofluid considering MFD viscosity effectJournal of Molecular Liquids, 2016
- Transient hydromagnetic reactive Couette flow and heat transfer in a rotating frame of referenceAlexandria Engineering Journal, 2016
- Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transferAlexandria Engineering Journal, 2015
- Heat Transfer in MHD Mixed Convection Flow of a Ferrofluid along a Vertical ChannelPLOS ONE, 2015
- Effects of buoyancy and thermal radiation on MHD flow over a stretching porous sheet using homotopy analysis methodAlexandria Engineering Journal, 2015
- Effect of Newtonian Heating and Thermal Radiation on Heat and Mass Transfer of Nanofluids over a Stretching Sheet in Porous MediaHeat Transfer, 2014
- RETRACTED: Exact solutions for the incompressible viscous magnetohydrodynamic fluid of a porous rotating disk flow with Hall currentInternational Journal of Mechanical Sciences, 2012