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World Journal of Engineering
Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

ISSN 2454-695X

Impact Factor : 5.924

ICV : 79.45

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Indexing

Abstract

MATHEMATICAL MODEL OF BUOYANCY DRIVEN HYDROMAGNETIC TURBULENT FLUID FLOW OVER A VERTICAL INFINITE PLATE USING TURBULENT PRANDTL NUMBER

W. O. Mukuna*, E. Chepkemoi and J. K. Rotich

ABSTRACT

A mathematical model of hydromagnetic buoyancy driven turbulent fluid flow over an infinite vertical plate using Turbulent Prandtl number is analysed. The fluid is considered to exhibit a turbulent flow over a vertical infinite plate in within a magnetic field. The fluid flow is modeled using Reynolds time averaged conservation equations of momentum and energy. This gives rise to the governing equations relating to primary velocity, secondary velocity and temperature. The governing equations are subsequently non-dimensionalised leading to the inclusion of non-dimensional parameters. The turbulence in energy equation is resolved using turbulent Prandtl number. An analytic solution for the model equations is not feasible due to nonlinearity hence the approximate numerical solution for the model equations is computed by use of the finite difference scheme. The finite difference scheme is run on a computer using MATLAB software given much computation involved. The results are displayed in graphs. The various non-dimensional parameters are examined of their effects on the velocities and temperature profiles. It is established that the primary velocity increases with decreasing magnetic parameter while it increases with increase in Hall parameter and Grashoff number.

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