A mathematical model for unsteady heat transfer and flow of an electrically conducting, viscous, incompressible dusty fluid in a channel formed between two concentric cylinders is developed. In the model, the fluid is driven along the channel by a constant pressure gradient, and an external magnetic field is applied in the direction perpendicular to the channel flow. The two cylinders are considered electrically insulated, and the surfaces maintained at constant but different temperatures with the outer cylinder being at a higher temperature. The viscosity and electrical conductivity of the fluid are considered varying with temperature. The equations governing flow and temperature distribution of both the fluid and the dust particles are a set of coupled momentum and energy equations. The derived system of non-linear partial differential equations is solved numerically on a two-dimensional computation grid using the Galerkin finite element method. The paper ends with discussions of the effect of the applied magnetic field and the variations in viscosity and electrical conductivity with temperature on the time development of the velocity and temperature distributions for both the fluid and dust particles.
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ASME 2004 International Mechanical Engineering Congress and Exposition
November 13–19, 2004
Anaheim, California, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-4711-X
PROCEEDINGS PAPER
Unsteady MHD Flow and Heat Transfer of Dusty Fluid Between Two Cylinders With Variable Physical Properties
Nagarajan Balasubramanian,
Nagarajan Balasubramanian
University of Nevada at Las Vegas
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Yitung Chen
Yitung Chen
University of Nevada at Las Vegas
Search for other works by this author on:
Nagarajan Balasubramanian
University of Nevada at Las Vegas
Yitung Chen
University of Nevada at Las Vegas
Paper No:
IMECE2004-60438, pp. 203-209; 7 pages
Published Online:
March 24, 2008
Citation
Balasubramanian, N, & Chen, Y. "Unsteady MHD Flow and Heat Transfer of Dusty Fluid Between Two Cylinders With Variable Physical Properties." Proceedings of the ASME 2004 International Mechanical Engineering Congress and Exposition. Heat Transfer, Volume 1. Anaheim, California, USA. November 13–19, 2004. pp. 203-209. ASME. https://doi.org/10.1115/IMECE2004-60438
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