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ISSN Online: 2377-424X

ISBN Print: 0-89116-559-2

International Heat Transfer Conference 8
August, 17-22, 1986, San Francisco, USA

THERMAL INSTABILITY IN THERMAL ENTRANCE REGION OF PLANE COUETTE FLOW HEATED UNIFORMLY FROM BELOW

Get access (open in a dialog) DOI: 10.1615/IHTC8.2870
pages 1389-1394

Résumé

The critical conditions marking the onset of natural convection due to buoyant forces are analysed in the thermal entrance region of the horizontal plane Couette flow heated uniformly from below. The basic temperature profile produced by conduction and forced convection is approximated as a fourth-order polynomial by using the integral method. With this temperature profile new stability equations are produced by means of the propagation theory which involves variations of disturbance quantities in the main flow direction. For the limiting case of the infinite Prandtl number the stability criteria are obtained analytically. The results show that the present model produces very reasonable conditions for predicting the onset of longitudinal vortex rolls. Also, it is justified that the thermal boundary layer thickness is a proper length scaling factor to describe the system in the stability analysis.