Numerical Solution of Natural Convection in Eccentric Annuli Page: 4 of 33
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years. Natural convection heat transfer in eccentric annuli occurs
in many industrial situations. Such problems commonly occur within
the electric and nuclear energy fields, as well as in solar energy
and thermal storage systems. For example, the cooling of under-
ground electric transmission cables is significantly affected by
the position of the inner cable within the outer housing. Simi-
larly, the cooling of nuclear fuel and target tube assemblies
following irradiation must be carefully monitored in the event of
assembly burnout due to inner tubular eccentricities. Likewise,
natural convection cooling of casks containing nuclear waste can
exceed thermal guidelines if positioning becomes overly eccentric.
In this study free convection flow within an eccentric annulus is
numerically solved using bipolar coordinate transformation and one-
dimensional finite element and pseudospectral algorithms. Steady
state results are compared with existing theoretical and experi-
Forced convection in eccentric annuli was investigated by
Trombetta5 using approximation methods and a least squares tech-
nique for various radius ratios and eccentricity. Similar studies
for laminar flow through an eccentric annulus was made by Guckes.6
Both Newtonian and non-Newtonian fluid flows were calculated using
bipolar coordinates and a finite difference technique. An ana-
lytical study of free convection in eccentric annuli was conducted
by Yao,7 using perturbation techniques with the eccentric space
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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/m1/4/: accessed July 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.