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Numerical experiments with compressible free convection in vertical slots

Darbandi, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.2514/6.2005-4822
  3. Publisher: American Institute of Aeronautics and Astronautics Inc , 2005
  4. Abstract:
  5. One important heat transfer application in engineering is to predict the flow behavior and heat transfer rate in thin vertical air layers. There are numerous applications in engi- neering where high temperature gradients exist between the slot walls. In such cases, the methods based on simple Boussinesq approximations do not provide reliable predictions. Unfortunately, the compressibility effect in heat transfer rate through thin vertical slots has not been much investigated by the past investigators. In this work, a compressible algorithm is properly developed and utilized to solve compressible natural convection in vertical air layers. The current technique employs discretization equations obtained from the control-volume formulation. The combined convection and diffusion flux is handled by the use of either Hybrid or QUICK schemes. The developed algorithm is investigated for solving a variety of slots with various length-to-height ratios. The Rayleigh number changes from 105 to 107. The results indicate that the compressible solutions are completely different from the incompressible solutions. In another words, the correct heat transfer prediction within slots with high horizontal temperature gradients is not achieved unless the compressibility effect is suitably implemented. © 2005 by Prof. M. Darbandi
  6. Keywords:
  7. Compressibility ; Forecasting ; High temperature applications ; Natural convection ; Thermal gradients ; Boussinesq approximations ; Compressibility effects ; Compressible natural convections ; Heat transfer applications ; Heat transfer predictions ; High temperature gradient ; Horizontal temperature gradient ; Numerical experiments ; Incompressible flow
  8. Source: 38th AIAA Thermophysics Conference, Toronto, ON, 6 June 2005 through 9 June 2005 ; 2005 ; 9781624100611 (ISBN)
  9. URL: https://arc.aiaa.org/doi/10.2514/6.2005-4822