Triple diffusive mixed convection flow in a duct using convective boundary conditions |
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Authors: | Jawali C Umavathi Hafiz Muhammad Ali Sapnali Limbaraj Patil |
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Institution: | 1. Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India;2. Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
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Abstract: | The motivation of the current article is to explore a numerical investigation on steady triply diffusive convection in a vertical channel. Heat is exchanged from the external fluid with the plates. The reference temperature is taken as equal and also as different for the external fluid. Solutions in the absence of viscous dissipation and buoyancy forces are also obtained as special cases. General solutions including the effects of viscous dissipation and buoyancy forces are obtained analytically using the method of perturbation. The analytical solutions can be used only if the Brinkman number is small. Hence to know the flow properties for all values of Brinkman number, we resort to numerical solutions. The effects of thermal Grashof number, solutal Grashof number, and the chemical reaction parameter on the flow field are evaluated numerically. The obtained results are validated against previously published results for special case of the problems. |
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Keywords: | convective boundary conditions mixed convection Runge-Kutta shooting method Soret number |
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