Unsteady MHD Free Convection Flow of Fluid in Micro Channel in the Presence of Viscous Dissipation Between Vertical Parallel Two Walls

Ahmed D. Abubakar, Ibrahim Baba S. Mohammed and Ahmed G. Saleh
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Ahmed D. Abubakar: Department of Mathematics, Federal University Gashua, Nigeria.
Ibrahim Baba S. Mohammed: Department of Mathematics, Federal Polytechnic, Bida, Nigeria.
Ahmed G. Saleh: Almaarif College of Nursing, Midwifery and Health Sciences Potiskum, Nigeria.

International Journal of Research and Innovation in Applied Science, 2024, vol. 9, issue 4, 32-47

Abstract: Convection is a process by which heat is transferred by movement of a heated water. The phenomenon where heat transfer process is driven by natural fluid motion due to temperature and density gradients is called free convection. The effect of slip velocity on thermal behaviours of MHD free convection flow over a vertical parallel two walls is the focus of this research. The mathematical equations which described the phenomenom includes momentum, magnetic field and energy equations. Condition for the existence and uniqueness of solution of the model equations were established using the approach of Lipschitz continuity. The model equations in dimensionless form were solved using Olayiwola’s generalized polynomial approximation method (OGPAM). The results obtained which contains the dimensionless parameters were presented graphically and discussed. It was observed that increase in Reynolds number and Knudsen number both enhanced the velocity distribution at the two walls. Also, magnetic field and temperature field were enhanced by magnetic prandtl number and Eckert number respectively.

Date: 2024
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