Flow through a staggered tube bundle (FEDORA)

Authors: Simonin and Barcouda

Type: Analytical

Status:

Contents

Description

Flow Parameters

Reference Publications

Results

Description

Experimental study of a turbulent flow through a staggered tube bundle Simulations of the flow through a tube bundle are carried out at Re=18000 (Simonin and Barcouda, 1986). If we compare the flow around a single tube in the tube bundle with the uniform flow around a single cylinder in an unobstructed domain, we find that for the former the oncoming flow is strongly non-uniform. This is caused by the flow distortion due to the neighbouring tubes. Four different regions can be identified (see Fig. 1): compression, acceleration, expansion and recirculation. Up stream of the stagnation point, there is a compression area, which is followed by an acceleration of the fluid due to a restriction of the passage. The sudden enlargement of the channel generates a slow down of the flow and an adverse pressure gradient, which generates a recirculation area behind the cylinder.

Geometry definition

The geometrical configuration of the experiment is presented in Fig. 2. The assembly is composed by seven rows, each one composed by ten or eleven rods arranged within a staggered pattern. The geometry presents the following parameters:

• Length of the domain %$L=180\,mm$%
• Width of the domain %$500\,mm$%
• Pitch %$P=45\,mm$%
• Diameter of the rod %$D=21.7\,mm$%

Flow Parameters

The flow parameters are the following

• Dynamic viscosity: %$\mu=8.904\cdot10^{-4}\, kg\, m^{-1}\, s^{-1}$%
• Density : %$\rho=9.972\cdot10^2\,kg/m^3$%
• Reynolds number : %$Re=1.8\cdot10^{4}$%

At the level of the domain inlet, we use a velocity profile based on the measures. The data are transcribed in the table 1 below:

X direction	%$~~\bar{V}_z~~$%	%$~~\bar{V}_x~~$%	%$~~V'_z~~$%	%$~~V'_x~~$%
%$(m)$%	%$(m/s)$%	%$(m/s)$%	%$(m/s)$%	%$(m/s)$%
%$ ~~~~0.00$%	%$1.1209$%	%$-0.015$%	%$0.00398$%	%$0.00365$%
%$ ~~~~2.10^{-3}$%	%$1.1528$%	%$-0.0386$%	%$0.00375$%	%$0.00344$%
%$ ~~~~4.10^{-3}$%	%$1.1595$%	%$-0.0630$%	%$0.00357$%	%$0.00327$%
%$ 6.10^{-3}$%	%$1.0445$%	%$-0.0873$%	%$0.00397$%	%$0.00364$%
%$ 8.10^{-3}$%	%$1.1293$%	%$-0.1171$%	%$0.00403$%	%$0.00369$%
%$10.10^{-3}$%	%$1.1404$%	%$-0.1287$%	%$0.00382$%	%$0.00350$%
%$12.10^{-3}$%	%$1.1062$%	%$-0.1186$%	%$0.00395$%	%$0.00362$%
%$14.10^{-3}$%	%$1.0777$%	%$-0.1154$%	%$0.00382$%	%$0.00350$%
%$16.10^{-3}$%	%$1.0422$%	%$-0.0946$%	%$0.00362$%	%$0.00332$%
%$18.10^{-3}$%	%$0.9841$%	%$-0.0694$%	%$0.00398$%	%$0.00365$%
%$20.10^{-3}$%	%$0.9728$%	%$-0.0454$%	%$0.00371$%	%$0.00340$%
%$22.10^{-3}$%	%$0.9415$%	%$-0.0157$%	%$0.00400$%	%$0.00367$%
%$24.10^{-3}$%	%$0.9332$%	%$~ 0.0356$%	%$0.00383$%	%$0.00351$%
%$26.10^{-3}$%	%$0.9429$%	%$~0.0599$%	%$0.00387$%	%$0.00355$%
%$28.10^{-3}$%	%$0.9471$%	%$~0.0977$%	%$0.00381$%	%$0.00349$%
%$30.10^{-3}$%	%$0.9837$%	%$~0.1071$%	%$0.00354$%	%$0.00324$%
%$32.10^{-3}$%	%$0.9783$%	%$~0.1231$%	%$0.00382$%	%$0.00314$%
%$34.10^{-3}$%	%$1.0354$%	%$~0.1041$%	%$0.00335$%	%$0.00307$%
%$36.10^{-3}$%	%$1.0779$%	%$~0.0946$%	%$0.00349$%	%$0.00320$%
%$38.10^{-3}$%	%$1.1251$%	%$~0.0760$%	%$0.00351$%	%$0.00322$%
%$40.10^{-3}$%	%$1.1371$%	%$~0.0534$%	%$0.00335$%	%$0.00307$%
%$42.10^{-3}$%	%$1.1682$%	%$~0.0279$%	%$0.00365$%	%$0.00335$%
%$44.10^{-3}$%	%$1.1886$%	%$-0.0030$%	%$0.00482$%	%$0.00441$%
%$46.10^{-3}$%	%$1.1761$%	%$-0.0331$%	%$0.00366$%	%$0.00336$%

Table 1 - Water inlet conditions.

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Reference Publications

1. Simonin, O. and Barcouda, M. (1986) Measurements of fully developed turbulent flow across tube bundle. In 3rd Conference Internationale sur les Applications de l'Anemometrie Laser a  la Mecanique des Fluides.

Results

Simulation results available for this case:

Code	Version	Author	Restrictions
Code_Saturne	2.0-beta2	D. Sénéchal	AccessEDFGroup

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