The long wavelength instability of high Prandtl number convective flow

✍ Scribed by A.A Al-Ali

• Book ID: 104349712
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 346 KB
• Volume: 17
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(04)90080-8

✦ Synopsis

This paper considers the stationary instability of convective flow between heated vertical planes in the limit of high Rayleigh number, A -~ co. This limit is of practical importance in applications. The planes axe held at temperatures that increase linearly with height and differ horizontally by a constant amount. This allows an exact solution of the Boussinesq equations whose nature depends on the value of a convective parameter % The lower branch of the neutral stability curve is obtained for general values of V and large Prandtl numbers, ~, revealing a dramatic change in the stability properties of the system in the limit as (r ---* c~. (~) 2004 Elsevier Ltd. All rights reserved.