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Research Papers: Nuclear Power

A Short Method to Compute Nusselt Numbers in Rectangular and Annular Channels With Any Ratio of Constant Heat Rate

[+] Author and Article Information
Alexandre Malon1

Fluid and Structure Mechanics Department, Fluid and Heat Transfers Section, AREVA NP - Technical Center France, 71200 Le Creusot, Francealexandre.malon@areva.com

Thierry Muller

 Head of the Fluid and Heat Transfers Section, Fluid and Structure Mechanics Department, AREVA NP - Technical Center France, 71200 Le Creusot, Francethierry-f.muller@areva.com

1

Address all correspondence related to this paper to this author.

J. Eng. Gas Turbines Power 134(3), 032902 (Jan 04, 2012) (7 pages) doi:10.1115/1.4004598 History: Received November 04, 2010; Revised December 17, 2010; Published January 04, 2012; Online January 04, 2012

An analytic investigation of the thermal exchanges in channels is conducted with the prospect of building a simple method to determine the Nusselt number in steady, laminar or turbulent and monodimensional flow through rectangular and annular spaces with any ratio of constant and uniform heat rate. The study of the laminar case leads to explicit laws for the Nusselt number, while the turbulent case is solved using a Reichardt turbulent viscosity model resulting in an easy to solve one-dimensional ordinary differential equation system. This differential equation system is solved using a matlab based boundary value problems solver (bvp4c). A wide range of Reynolds, Prandtl, and radius ratios is explored with the prospect of building correlation laws allowing the computing of Nusselt numbers for any radius ratio. Those correlations are in good agreement with the literature. The correlations are also compared with a CFD analysis made on a case extracted from the Réacteur Jules Horowitz.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Meshing of the fluid domain

Grahic Jump Location
Figure 2

Inner surface Nusselt number for fully developed laminar flow through parallel plates as a function of the heat rate ratio φ

Grahic Jump Location
Figure 3

Core tube Nusselt number for fully developed laminar flow through cylindrical annulus as a function of the heat rate ratio φ and the radius ratio r *

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