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Free convection heat transfer from vertical cylinders part I: Power law surface temperature variation

Nagendra, HR and Tirunarayanan, MA and Ramachandran, A (1971) Free convection heat transfer from vertical cylinders part I: Power law surface temperature variation. In: Nuclear Engineering and Design, 16 (2). pp. 153-162.

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Official URL: http://dx.doi.org/10.1016/0029-5493(71)90030-6


This paper reports on the investigations of laminar free convection heat transfer from vertical cylinders and wires whose surface temperature varies along the height according to the relation TW - T∞ = Nxn. The set of boundary layer partial differential equations and the boundary conditions are transformed to a more amenable form and solved by the process of successive substitution. Numerical solutions of the first approximated equations (two-point nonlinear boundary value type of ordinary differential equations) bring about the major contribution to the problem (about 95%), as seen from the solutions of higher approximations. The results reduce to those for the isothermal case when n=0. Criteria for classifying the cylinders into three broad categories, viz., short cylinders, long cylinders and wires, have been developed. For all values of n the same criteria hold. Heat transfer correlations obtained for short cylinders (which coincide with those of flat plates) are checked with those available in the literature. Heat transfer and fluid flow correlations are developed for all the regimes.

Item Type: Journal Article
Publication: Nuclear Engineering and Design
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 16 Jun 2010 07:43
Last Modified: 19 Sep 2010 06:09
URI: http://eprints.iisc.ac.in/id/eprint/28449

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