Open Access Open Access  Restricted Access Subscription or Fee Access

Analysis of a Heat Source and Sink in a Partially Open Enclosure


(*) Corresponding author


Authors' affiliations


DOI: https://doi.org/10.15866/ireheat.v3i2.7704

Abstract


In this study a partially open enclosure with a source/sink pair is examined. The study is divided into two parts. The first part examines the effect of the source/sink magnitude. The results show that the smallest Rayleigh number ratio, +/- 2.5, results in the highest magnitude of the Nusselt numbers along the hot wall. In addition, the highest and lowest dimensionless temperatures correspond to the highest Rayleigh number ratio, +/- 250. The highest dimensionless stream functions are also associated with the highest Rayleigh number ratio. The second part of the study examines the effects of unequal source/sink values. For this part of the study the results show that the lowest dimensionless temperatures in the enclosure are associated with the case where the source is one tenth the strength of the sink. However, the largest dimensionless temperatures in the enclosure are approximately one for all ratios of the source/sink pair. The highest dimensionless stream functions are also associated with the case where the source is one tenth the strength of the sink. The highest average Nusselt number on the hot wall corresponds to the case where the source is one tenth the strength of the sink.
Copyright © 2015 Praise Worthy Prize - All rights reserved.

Keywords


Natural Convection; Heat Source; Heat Sink; Computational Fluid Dynamics

Full Text:

PDF


References


V. Mariani and A. da Silva, Natural Convection: Analysis of Partially Open Enclosures with an Internal Heat Source, Numerical Heat Transfer, Part A, , vol. 52, pp. 595-619, 2007.
http://dx.doi.org/10.1080/10407780701338423

D. Angirasa, J. G. M. Eggels, and F. T. M. Nieuwstadt, Numerical Simulation of Transient Natural Convection from an Isothermal Open Cavity on a Side, Numerical heat Transfer, Part A, vol. 28, pp. 755-768, 1995.
http://dx.doi.org/10.1080/10407789508913773

F. Penot, Numerical Calculations of Two-Dimensional Natural convection in Isothermal Open, Numerical Heat Transfer, vol. 5, pp. 421-437, 1982.
http://dx.doi.org/10.1080/10407788208913457

P. Le Quere, J. A. C. Humphrey, and F. S. Sherman, Numerical Calulations of Thermally Driven Two-Dimensional Unsteady Laminar Flow in Cavities of a Rectangular Cross Section, Numerical Heat Transfer, vol. 4, pp. 249-283, 1981.
http://dx.doi.org/10.1080/01495728108961792

Y. L. Chan and C. L. Tien, A Numerical Study of Two-Dimensional Natural Convection in Rectangular Cavities, Numerical Heat Transfer, vol. 8, pp. 65-80, 1985.
http://dx.doi.org/10.1080/01495728508961842

J. L. Xia and Z. W. Zhou, Natural Convection in an Externally Heated Partially Open Enclosure with a Heated Protrusion, Measurement and Modeling of Environmental Flows, vol. 232, pp. 201-208, 1992.

S. A. Lai and C. Reji, Numerical Prediction of Natural Convection in Vented Cavities Using a Restricted Domain Approach, International Journal of Heat and Mass Transfer, vol. 52, pp. 724-734, 2009.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2008.04.074

A. Maftuoglu and E. Bilgen, Conjugate Heat Transfer in Open Cavities with a Discrete heater at its Optimized Position, International Journal of Heat and Mass Transfer, vol. 51, pp. 779-788, 2008.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2007.04.017

A. Maftuoglu and E. Bilgen, Natural Convection in Open Cavities with a Discrete heater at their Optimized Position, Journal of Thermal Sciences, in press.

Y. Liu and N. Phan-Tien, An Optimim Spacing Problem for Three Chips Mounted on a Vertical Substarte in an Enclosure, Numerical Heat Transfer, Part A, vol. 37, pp. 613-630, 2000.
http://dx.doi.org/10.1080/104077800274118

A. da Silva, S. Lorente, and A. Bejan, Optimal Distribution of Discrete Heat Sources on a Wall with Natural Convection, International Journal of Heat and Mass Transfer, Part A, vol. 47, pp. 209-214, 2004.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2003.07.007

A. da Silva, S. Lorente, and A. Bejan, Optimal Distribution of Discrete Heat Sources on a Wall with Laminar Forced Convection, International Journal of Heat and Mass Transfer, Part A, vol. 47, pp. 2139-2148, 2004.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2003.12.009

A. da Silva, G. Lorenzini, and A. Bejan, Distribution of Heat Sources in Vertical Open Channels with Natural Convection, International Journal of Heat and Mass Transfer, Part A, vol. 48, pp. 1462-1469, 2005.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.10.019

A. da Silva and L. Gosselin, Optimal Geometry of L and C Shaped Channels for Maximum Heat Transfer in natural Convection, International Journal of Heat and Mass Transfer, Part A, vol. 48, pp.. 609-620, 2005.
http://dx.doi.org/10.1016/j.ijheatmasstransfer.2004.08.028

M. McGarry and James G. Kohl, Analysis of Dual Heat Sources in a Partially Open Enclosure, Advances in Mechanical Engineering, vol. 2013, Article ID 126353.
http://dx.doi.org/10.1155/2013/126353


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize