Internal gravity wave resonance of thermal convection fields in a square cavity with heat-flux vibration

✍ Scribed by Shota Matsumura; Hideshi Ishida; Hideo Kimoto

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 653 KB
• Volume: 35
• Category: Article
• ISSN: 1099-2871
• DOI: 10.1002/htj.20122

✦ Synopsis

Abstract

In this paper, the thermal convection field and its resonance phenomena in a square cavity with sinusoidal heat‐flux vibration were numerically investigated. As the angular velocity ω is changed, the thermal convection field at Pr = 0.71,Ra = 10^6^ is found to be classified into 5 regions. In particular, the field has the local maximum relative amplitude of midplane Nusselt's number at ω~c~ = 350, which corresponds to the angular velocity of internal gravity wave ω~r~ estimated by a theoretical equation proposed by Thorpe. This shows that the local enhancement is induced by internal gravity wave resonance. Such correspondence is observed for Ra ≥ 10^5^,Ra ≥ 10^6^ for Pr = 0.71, 7.1, respectively. For these ranges of Ra we propose a correlation equation, a function of Pr and Gr only, to estimate the resonant angular velocity. © 2006 Wiley Periodicals, Inc. Heat Trans Asian Res, 35(5): 309–322, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/htj.20122