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Laminar conjugate natural convection in horizontal annuli

Sambamurthy, NB and Shaija, A and Narasimham, GSVL and Murthy, MV Krishna (2008) Laminar conjugate natural convection in horizontal annuli. In: International Journal of Heat and Fluid Flow, 29 (5). pp. 1347-1359.

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A numerical study of two-dimensional conjugate natural convection in a horizontal cylindrical annulus formed between an inner heat generating solid square cylinder and an outer isothermal circular boundary is performed. The two orientations considered for the inner solid square cylinder are the square-on-side (SOS) and the square-on-edge (SOE). A cylindrical annulus with an inner solid circular cylinder (CC) of equivalent heat generation is also studied for the purpose of comparison. The flow equations cast in vorticity-stream function form and the energy equations are solved using numerical methods. The steady state results show that the flow in the annulus is characterized by double or quadruple vortex patterns. Of the dimensionless maximum solid temperature, average solid temperature and average inner boundary temperature, the first two are much sensitive to solid-to-fluid thermal conductivity ratio. The dependence of the average Nusselt number on the average inner boundary temperature based Grashof number is found to be in good agreement with the heat transfer data computed for differentially heated annuli with isothermal boundaries, within the parametric space covered. Correlations as functions of Grashof number are developed for the estimation of various quantities of interest for different configurations, aspect ratios and thermal conductivity ratios. The results are expected to be useful in the design of thermal systems such as the spent nuclear fuel casks and underground transmission cables.

Item Type: Journal Article
Publication: International Journal of Heat and Fluid Flow
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Conjugate natural convection;Horizontal annuli;Volumetric heat generation.
Department/Centre: Division of Physical & Mathematical Sciences
Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 15 Sep 2009 09:23
Last Modified: 19 Sep 2010 04:57
URI: http://eprints.iisc.ac.in/id/eprint/17542

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