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Investigate the influence of various parameters on MHD flow characteristics in a porous medium

Mehdi Mahboobtosi, Ali Mirzagoli Ganji, Payam Jalili, Bahram Jalili, Irshad Ahmad, Ahmed S. Hendy, Mohamed R. Ali, Davood Domiri Ganji

2024Case Studies in Thermal Engineering55 citationsDOIOpen Access PDF

Abstract

The flow phenomena become more significant and varied when an extra heat source, a chemical reaction, and thermal and solutal buoyancy forces exist. Transport property optimization results from the current demand in several sectors dependent on the solutal reactant and the heat source given. Partial differential equations are transformed into ordinary equations using appropriate similarity transformations. Python was used as an efficient tool to solve equations in this research. According to the available facilities and libraries, Python can efficiently solve various physics and engineering problems. The homotopy perturbation method (HPM) and Akbari-Ganji Method (AGM) have been used to solve differential equations. The results calculated in Python indicate the high accuracy of calculations in Python. The effect of different parameters on the profile of velocity, temperature, and concentration has been investigated graphically. Also, the friction coefficient (), Nusselt number (), and Sherwood number () have also been investigated in this study. The results show that the velocity profile decreases with increased magnetic field intensity. Also, the porosity parameter has an inverse effect on the velocity and temperature profile, so the growth of the porosity parameter reduces the fluid velocity while improving the temperature profile.

Topics & Concepts

Python (programming language)Nusselt numberSherwood numberMechanicsPartial differential equationBuoyancyPorosityPorous mediumHomotopy analysis methodOrdinary differential equationFlow velocityMagnetohydrodynamicsMaterials scienceThermodynamicsPhysicsMathematicsMagnetic fieldComputer scienceDifferential equationHomotopyFlow (mathematics)Mathematical analysisReynolds numberPure mathematicsQuantum mechanicsOperating systemComposite materialTurbulenceNanofluid Flow and Heat TransferHeat Transfer and OptimizationHeat Transfer Mechanisms
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