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Title: CFD Calculation of Internal Natural Convection in the Annulus between Horizontal Concentric Cylinders

Abstract

No abstract prepared.

Authors:
; ; ;
Publication Date:
Research Org.:
Sandia National Labs., Albuquerque, NM (US); Sandia National Labs., Livermore, CA (US)
Sponsoring Org.:
US Department of Energy (US)
OSTI Identifier:
805831
Report Number(s):
SAND2002-3132
TRN: US200303%%267
DOE Contract Number:
AC04-94AL85000
Resource Type:
Conference
Resource Relation:
Conference: Conference title not supplied, Conference location not supplied, Conference dates not supplied; Other Information: PBD: 1 Oct 2002
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; NATURAL CONVECTION; FLUID MECHANICS; CALCULATION METHODS; ANNULAR SPACE; CYLINDERS

Citation Formats

FRANCIS JR.,NICHOLAS D., ITAMURA, MICHAEL T., WEBB, STEPHEN W., and JAMES, DARRYL L.. CFD Calculation of Internal Natural Convection in the Annulus between Horizontal Concentric Cylinders. United States: N. p., 2002. Web.
FRANCIS JR.,NICHOLAS D., ITAMURA, MICHAEL T., WEBB, STEPHEN W., & JAMES, DARRYL L.. CFD Calculation of Internal Natural Convection in the Annulus between Horizontal Concentric Cylinders. United States.
FRANCIS JR.,NICHOLAS D., ITAMURA, MICHAEL T., WEBB, STEPHEN W., and JAMES, DARRYL L.. Tue . "CFD Calculation of Internal Natural Convection in the Annulus between Horizontal Concentric Cylinders". United States. doi:. https://www.osti.gov/servlets/purl/805831.
@article{osti_805831,
title = {CFD Calculation of Internal Natural Convection in the Annulus between Horizontal Concentric Cylinders},
author = {FRANCIS JR.,NICHOLAS D. and ITAMURA, MICHAEL T. and WEBB, STEPHEN W. and JAMES, DARRYL L.},
abstractNote = {No abstract prepared.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 01 00:00:00 EDT 2002},
month = {Tue Oct 01 00:00:00 EDT 2002}
}

Conference:
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  • No abstract prepared.
  • The objective of this heat transfer and fluid flow study is to assess the ability of a computational fluid dynamics (CFD) code to reproduce the experimental results, numerical simulation results, and heat transfer correlation equations developed in the literature for natural convection heat transfer within the annulus of horizontal concentric cylinders. In the literature, a variety of heat transfer expressions have been developed to compute average equivalent thermal conductivities. However, the expressions have been primarily developed for very small inner and outer cylinder radii and gap-widths. In this comparative study, interest is primarily focused on large gap widths (on themore » order of half meter or greater) and large radius ratios. From the steady-state CFD analysis it is found that the concentric cylinder models for the larger geometries compare favorably to the results of the Kuehn and Goldstein correlations in the Rayleigh number range of about 10{sup 5} to 10{sup 8} (a range that encompasses the laminar to turbulent transition). For Rayleigh numbers greater than 10{sup 8}, both numerical simulations and experimental data (from the literature) are consistent and result in slightly lower equivalent thermal conductivities than those obtained from the Kuehn and Goldstein correlations.« less
  • Two-dimensional natural convection of a fluid of low Prandtl number (Pr = 0.02) in an annulus between two concentric horizontal cylinders is numerically investigated in a wide range of gap widths. For low Grashof numbers, a steady unicellular convection is obtained. Above a transition Grashof number that depends on the gap width, a steady bicellular flow occurs. With further increase of the Grashof number, steady or time-periodic multicellular convection occurs, and finally, complex unsteady convective flow appears. A plot is presented that predicts the type of flow patterns for various combination of gap widths and Grashof numbers.
  • An experimental study was performed of the heat transfer by natural convection of helium between horizontal isothermal concentric cylinders at cryogenic temperatures. Time-averaged temperature profiles at various locations in the annulus and overall heat transfer rates were measured as the Rayleigh number was varied from 6 {times} 10{sup 6} to 2 {times} 10{sup 9} and the expansion number from 0.20 to 1.0 for a constant Prandtl number of 0.688 and diameter ratio of 3.36. It was found that the heat transfer rate depends on the magnitude of the expansion number as well as on the magnitude of the Rayleigh number.more » With gas properties evaluated at a volume-weighted reference temperature, a correlation equation is presented that correlates the heat transfer data with maximum deviations of {minus}8.2 and +8.5 percent. The results of this study are compared with previously published studies of other investigators.« less
  • Numerical solutions are presented for steady laminar two-dimensional natural convection in annuli between concentric and vertically eccentric horizontal circular cylinders with specified (constant) heat flux at the boundaries. The results encompass streamline and isotherm contours, temperature distributions on both cylinder boundaries, and average Nusselt numbers as functions of the modified Rayleigh number.