A transient analysis on the onset of thermal instability in the thermal entrance region of a horizontal parallel plate channel, where the lower plate is heated isothermally, is presented. A novel time-dependent approach based on a three-dimensional linear stability theory is developed to determine the neutral stability position, where a disturbance neither grows nor decays with time. The range of parameters Pe=30, 40, 60, 80, and 100, and Pr=0.2, 0.7, 1.0, and 7.0 are covered in the study. One finds that increasing Prandtl number has a destabilizing effect on the flow for a fixed Peclet number along the streamwise direction. On the other hand, increasing Peclet number or Reynolds number tends to stabilize the flow. As the onset of thermal instability moves upstream, the critical Rayleigh number and the critical wave number are increased. The result shows a good agreement with the previous experimental investigations.
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Transient Analysis on the Onset of Thermal Instability in the Thermal Entrance Region of a Horizontal Parallel Plate Channel
F. S. Lee,
F. S. Lee
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043
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G. J. Hwang
G. J. Hwang
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043
Search for other works by this author on:
F. S. Lee
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043
G. J. Hwang
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan 30043
J. Heat Transfer. May 1991, 113(2): 363-370 (8 pages)
Published Online: May 1, 1991
Article history
Received:
December 21, 1989
Revised:
June 18, 1990
Online:
May 23, 2008
Citation
Lee, F. S., and Hwang, G. J. (May 1, 1991). "Transient Analysis on the Onset of Thermal Instability in the Thermal Entrance Region of a Horizontal Parallel Plate Channel." ASME. J. Heat Transfer. May 1991; 113(2): 363–370. https://doi.org/10.1115/1.2910570
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