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Journal of Applied Sciences
  Year: 2007 | Volume: 7 | Issue: 17 | Page No.: 2437-2443
DOI: 10.3923/jas.2007.2437.2443
 
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Unsteady Solutions of the Thermal Flows Through a Curved Rectangular Duct with Differentially Heated Vertical Sidewalls

R.N. Mondal, M.A. Huda , S.F. Ahmmed , S.M.A. Rahman and Munnujahan Ara

Abstract:
Unsteady solutions of the thermal flows through a curved rectangular duct of aspect ratio 2 is investigated numerically by using the spectral method over a wide range of the Dean number, 0≤Dn≤1000, with a temperature difference between the vertical sidewalls for the Grashof number, 1000≤Gr≤1500. The outer wall of the duct is heated while the inner wall is cooled. In the present study, unsteady solutions of the thermal flows for a single case of the Grashof number Gr = 1500 is investigated in detail and complete flow behavior, covering the wide range of Gr, is shown by a phase diagram. It is found that the steady flow turns into chaotic flow through periodic or multi-periodic flows for large or moderate Gr; for small Gr, however, the steady flow turns into chaotic state through various flow instabilities, if Dn is increased.
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How to cite this article:

R.N. Mondal, M.A. Huda , S.F. Ahmmed , S.M.A. Rahman and Munnujahan Ara , 2007. Unsteady Solutions of the Thermal Flows Through a Curved Rectangular Duct with Differentially Heated Vertical Sidewalls. Journal of Applied Sciences, 7: 2437-2443.

DOI: 10.3923/jas.2007.2437.2443

URL: https://scialert.net/abstract/?doi=jas.2007.2437.2443

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