The Effect of Nonlinear Density Stratification on the Stability of a Vertical Water Layer in the Conduction Regime

[+] Author and Article Information
A. H. Shaaban, M. N. Özişik

Department of Mechanical and Aerospace Engineering, North Carolina State University, Raleigh, N. C. 27650

J. Heat Transfer 105(1), 130-137 (Feb 01, 1983) (8 pages) doi:10.1115/1.3245531 History: Received March 01, 1982; Online October 20, 2009


The thermal stability of a layer of water between two vertical parallel plates maintained at different temperatures, T1 and T2 , is investigated for the conduction regime. Three cases are considered include where: (a) the maximum density layer is within the water region; (b) is at the boundary; and (c) is outside the water region. Cubic polynomials are used to represent the density-temperature relation in the temperature range 0–55°C. The numerical results show that the critical states of stability do not depend on Prandtl number but instead depends on the combinations of T1 and T2 . Of the three cases considered, the first case is the most unstable. In all three cases, the instabilities set in as a traveling wave, moving against gravity, for most T1 and T2 combinations. Stationary waves were also found for case (c).

Copyright © 1983 by ASME
Your Session has timed out. Please sign back in to continue.






Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In