ISSN:
0001-1541
Keywords:
Chemistry
;
Chemical Engineering
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Process Engineering, Biotechnology, Nutrition Technology
Notes:
Free convection between two vertical coaxial cylinders was studied by solving the governing transport equations as an initial-value problem. The coupled, nonlinear, partial differential equations were converted into a set of difference equations by use of an alternating-direction implicit finite-difference numerical scheme. Twenty-four different combinations of Prandtl and Grashof numbers, and height to annular spacing ratios were used to characterize the problem. The results are presented primarily in the form of contour maps for the steady-state isotherms and streamlines.For Rayleigh numbers greater than 5 × 103, a fully developed boundary-layer flow was found to exist in the cavity. The interior region of the annulus was found to be thermally stratified and to possess a nearly uniform vertical temperature gradient, with a unicellular flow pattern being generated.With Rayleigh numbers of 5 × 104 and greater, it was found that the flow patterns could not be properly described with a grid spacing of 1/10. The variation of the steady-state mean Nusselt number with Prandtl and Rayleigh numbers and with geometric ratios was also investigated.
Additional Material:
5 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/aic.690160624
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