Natural convection in volumetrically heated rectangular enclosures is studied in this work. The walls of the enclosure are maintained isothermal. For the rectangular enclosure, two-dimensional conservation equations are solved using SIMPLE algorithm. The code is benchmarked with the results for a lid-driven cavity and a differentially heated cavity. Parametric studies are conducted to examine the effects of orientation of the cavity, fluid properties (Pr number), and aspect ratio for Rayleigh numbers up to 106. For a horizontal cavity, the flow becomes periodically oscillating at Ra = 5×104 and chaotic at Ra = 8×105. With a slight increase in the inclination angle, the oscillations die down and for inclination angles greater than 15°, the flow attain a steady state over a range of Ra. The aspect ratio AR, defined as the ratio of the height to the width of the cavity, is varied from 0.25 to 0.75 (AR < 1: wide cavities) and from 2.0 to 6.0 (AR > 1: long cavities). The values of critical Ra at which the convection sets in the cavity are presented for the range of AR studied here. The corresponding flow regimes are also identified.
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ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences
July 19–23, 2009
San Francisco, California, USA
Conference Sponsors:
- Heat Transfer Division
ISBN:
978-0-7918-4357-4
PROCEEDINGS PAPER
Study of Natural Convection in Volumetrically Heated Enclosures for Different Aspect Ratios and Prandtl Numbers
Parameshwar Deshmukh,
Parameshwar Deshmukh
Indian Institute of Technology Bombay, Mumbai, MH, India
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Sushanta K. Mitra,
Sushanta K. Mitra
University of Alberta, Edmonton, AB, Canada
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U. N. Gaitonde
U. N. Gaitonde
Indian Institute of Technology Bombay, Mumbai, MH, India
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Parameshwar Deshmukh
Indian Institute of Technology Bombay, Mumbai, MH, India
Sushanta K. Mitra
University of Alberta, Edmonton, AB, Canada
U. N. Gaitonde
Indian Institute of Technology Bombay, Mumbai, MH, India
Paper No:
HT2009-88003, pp. 11-18; 8 pages
Published Online:
March 12, 2010
Citation
Deshmukh, P, Mitra, SK, & Gaitonde, UN. "Study of Natural Convection in Volumetrically Heated Enclosures for Different Aspect Ratios and Prandtl Numbers." Proceedings of the ASME 2009 Heat Transfer Summer Conference collocated with the InterPACK09 and 3rd Energy Sustainability Conferences. Volume 2: Theory and Fundamental Research; Aerospace Heat Transfer; Gas Turbine Heat Transfer; Computational Heat Transfer. San Francisco, California, USA. July 19–23, 2009. pp. 11-18. ASME. https://doi.org/10.1115/HT2009-88003
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