Numerical Solution of Natural Convection in Eccentric Annuli Page: 3 of 33
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Numerical Solution of Natural Convection in Eccentric Annuli
D. W. Pepper and R. E. Cooper
E. I. du Pont de Nemours & Co.
Savannah River Laboratory
Aiken, South Carolina 29808
The governing equations for transient natural convection in
eccentric annular space are solved with two high-order accurate
numerical algorithms. The equation set is transformed into bipolar
coordinates and split into two one-dimensional equations: finite
elements are used in the direction normal to the cylinder surfaces;
the pseudospectral technique is used in the azimuthal direction.
Transient solutions of the entire flow field are obtained for
102<Ra<106, 0.70<Pr4102, with the inner cylinder near the top,
bottom, and side of the outer cylinder. Results are similar to
experimental and numerical values previously published for low Ra
Natural convection in concentric annuli has been studied for
many years. Numerous articles can be found in the literature which
describe both experimental and numerical results.1~4 Natural con-
vection in eccentric annular space, although not analyzed as exten-
sively, has begun to receive more attention over the last few
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Pepper, D.W. Numerical Solution of Natural Convection in Eccentric Annuli, article, September 18, 2001; South Carolina. (digital.library.unt.edu/ark:/67531/metadc719508/m1/3/: accessed May 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.