Steady natural convection flow of a particulate suspension through a circular pipe |
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Authors: | Mansour?A?Al-Subaie Email author" target="_blank">Ali?J?ChamkhaEmail author |
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Institution: | (1) Project Engineering & Construction Dept., Aramco Gulf Operations Co. Ltd. (AGOC), P.O.Box: 688, Khafji 31971, Kingdom of Saudi Arabia,;(2) Department of Mechanical Engineering, Kuwait University, Safat, 13060 Kuwait, |
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Abstract: | A continuum model for two-phase (fluid/particle) flow induced by natural convection is developed and applied to the problem of steady natural convention flow of a particulate suspension through an infinitely long pipe. The wall of the pipe is maintained at a constant temperature. The particle phase is endowed by an artificial viscosity which may be used to model particle-particle interaction in dension suspensions. Boundary conditions borrowed from rarefied gas dynamics are employed for the particle-phase wall conditions. Closed-form solutions for the velocity and temperature profiles are obtained. For the assumptions employed in the problem, the temperatures of both phases in the pipe are predicted to be uniform. A parametric study of some physical parameters involved in the problem is performed to illustrate the influence of these parameters on the velocity profiles of both the fluid and particle phases. |
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