Proceedings of the
International Conference on Mechanical Engineering 2009
(ICME2009) 26- 28 December 2009, Dhaka, Bangladesh

ICME09-FM-16

FLOW CHARACTERISTICS THROUGH A ROTATING CURVED
DUCT WITH SQUARE CROSS SECTION

R. N. Mondal, A. K. Datta, M. A. Ali and M. S. Uddin
Mathematics Discipline; Science, Engineering and Technology School,
Khulna University, Khulna, Bangladesh

ABSTRACT

In this paper, a comprehensive numerical study is presented for the thermal flow through a rotating curved duct with square cross section. Numerical calculations are carried out over a wide range of the Taylor number 0 ≤ Tr ≤ 3000 for the Dean numbers Dn =1000 and Dn = 2000 with the Grashof numberGr = 500, where the outer wall is heated and the inner one cooled. Spectral method is used as a basic tool to solve the system of non-linear differential equations. The rotation of the duct about the center of curvature is imposed, and the effects of rotation (Coriolis force) on the flow characteristics are investigated. As a result, multiple branches of asymmetric steady solutions with two- and four-vortex solutions are obtained. Linear stability of the steady solutions is then investigated. When there is no stable steady solution, time evolution calculations of the unsteady solutions are obtained, and it is found that there occur only periodic and multi-periodic solutions where the solution is unstable.

 Keywords: Curved Square Duct, Secondary Flow, Steady Solutions, Dean Number, Taylor Number.

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