Bifurcation study of thermal flows through a rotating curved square duct

Authors

  • RN Mondal Mathematics Discipline; Science, Engineering and technology School, Khulna University, Khulna-9208
  • AK Datta Dept. of Mathematics, The University of Asia Pacific, Dhanmondi, Dhaka
  • B Mondal Dept. of Mathematics, Govt. M.M. City College, Khulna

DOI:

https://doi.org/10.3329/bjsir.v48i1.15415

Keywords:

Rotating curved duct, Secondary flow, Dean number, Taylor number

Abstract

In this paper, a comprehensive numerical study is presented for the fully developed thermal flows through a rotating curved duct with square cross section. Numerical calculations are carried out over a wide range of the Taulor number 0?Tr?3000 for two cases of the Dean numbers, Dn=1000 and Dn=2000. A tempature difference is applied across the vertical sidewalls for the Grushof number Gr=500, where the outer wall is heated and the inner wall colled. Spectral method is used as a basic tool to slove 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 stady solutions with two-, three- and four-vortex solutions are obtained. Linear stability of the steady solutions is also investigated.

DOI: http://dx.doi.org/10.3329/bjsir.v48i1.15415

Bangladesh J. Sci. Ind. Res. 48(1), 59-70, 2013

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Published

2013-06-22

How to Cite

Mondal, R., Datta, A., & Mondal, B. (2013). Bifurcation study of thermal flows through a rotating curved square duct. Bangladesh Journal of Scientific and Industrial Research, 48(1), 59–70. https://doi.org/10.3329/bjsir.v48i1.15415

Issue

Vol. 48 No. 1 (2013)

Section

Articles

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