======Flow through Staggered Tube Bundle======
=====Experiments by Simonin and Barcouda=====

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====Flow Description====

The case is a nominally two-dimensional isothermal flow
through a staggered tube bundle array.


The experimental test section consists of 7 horizontal, staggered rows of rods, as 
shown in <imgref cas78-geom>, across which water flows at an average velocity of 1.06 m/s.
With this value, and a tube diameter of 21.7 mm, the Reynolds number (based on that diameter) 
is 18000. LDA measurements, taken across the spanwise centre plane, indicate that the flow 
becomes periodic around the fourth row from the bottom.

<imgcaption cas78-geom|Tube bundle geometry and experimental configuration>{{ figs:case078:tbfig1.gif |Case geometry}}</imgcaption>

On the assumption that the flow is fully periodic and steady, the computational domain may be 
reduced to the passage shown in <imgref cas78-sgeom> below, with suitable periodic conditions
applied in the spanwise and streamwise directions.

<imgcaption cas78-sgeom|Geometry for a single periodic flow passage>{{ figs:case078:tbfig3.gif |Periodic flow passage geometry}}</imgcaption>

Data is available in the form of profiles of mean velocities \(U\) and \(V\) and Reynolds 
stresses \(\overline{u^2}\), \(\overline{v^2}\), \(\overline{uv}\), along the 
lines \(x=0\), \(11\) and \(16.5\) mm and \(y=0\) and \(22.5\) mm.

===Flow Parameters===

  * Bulk inlet velocity, upstream of the tubes: \(V_o = 1.06\) m/s
  * Tube diameter : 21.7 mm
  * Working fluid: Water 
  * Reynolds number (based on \(V_o\) and tube diamater): 18000

====Experimental Details====

Measurements of the velocities were obtained using LDA. Most data were obtained in a 
subdomain surrounding a tube in the fifth row, where the flow appeared to have reached 
a periodic state.

====Available Data====

Profiles of \(U\), \(V\), \(\overline{u^2}\), \(\overline{v^2}\), and \(\overline{uv}\)
are available along three horizontal lines (\(x=0\), \(11\) and \(16.5\) mm) and 2 
vertical lines (\(y=0\) and \(22.5\) mm).

[[case078-plots|Sample plots]] of selected quantities are available.

Compressed archives of the files can be downloaded from the links below,
or files can be retrieved individually from the table.

  * {{cdata:case078:sttb-allfiles.zip|sttb-allfiles.zip}}
  * {{cdata:case078:sttb-allfiles.tar.gz|sttb-allfiles.tar.gz}}

^   ^  \(U\)  ^  \(V\)  ^  \(\overline{u^2}\)  ^   \(\overline{v^2}\)  ^  \(\overline{uv}\)  |
| \(x=0\) mm  |  {{cdata:case078:tb_x0_mu.dat|tb_x0_mu.dat}}  |  {{cdata:case078:tb_x0_mv.dat|tb_x0_mv.dat}}  |  {{cdata:case078:tb_x0_fuu.dat|tb_x0_fuu.dat}}  |  {{cdata:case078:tb_x0_fvv.dat|tb_x0_fvv.dat}}  |  {{cdata:case078:tb_x0_fuv.dat|tb_x0_fuv.dat}}  |
| \(x=11\) mm  |  {{cdata:case078:tb_x1_mu.dat|tb_x1_mu.dat}}  |  {{cdata:case078:tb_x1_mv.dat|tb_x1_mv.dat}}  |  {{cdata:case078:tb_x1_fuu.dat|tb_x1_fuu.dat}}  |  {{cdata:case078:tb_x1_fvv.dat|tb_x1_fvv.dat}}  |  {{cdata:case078:tb_x1_fuv.dat|tb_x1_fuv.dat}}  |
| \(x=16.5\) mm  |  {{cdata:case078:tb_x2_mu.dat|tb_x2_mu.dat}}  |  {{cdata:case078:tb_x2_mv.dat|tb_x2_mv.dat}}  |  {{cdata:case078:tb_x2_fuu.dat|tb_x2_fuu.dat}}  |  {{cdata:case078:tb_x2_fvv.dat|tb_x2_fvv.dat}}  |  {{cdata:case078:tb_x2_fuv.dat|tb_x2_fuv.dat}}  |
| \(y=0\) mm  |  {{cdata:case078:tb_y0_mu.dat|tb_y0_mu.dat}}  |  {{cdata:case078:tb_y0_mv.dat|tb_y0_mv.dat}}  |  {{cdata:case078:tb_y0_fuu.dat|tb_y0_fuu.dat}}  |  {{cdata:case078:tb_y0_fvv.dat|tb_y0_fvv.dat}}  |  {{cdata:case078:tb_y0_fuv.dat|tb_y0_fuv.dat}}  |
| \(y=22.5\) mm  |  {{cdata:case078:tb_y1_mu.dat|tb_y1_mu.dat}}  |  {{cdata:case078:tb_y1_mv.dat|tb_y1_mv.dat}}  |  {{cdata:case078:tb_y1_fuu.dat|tb_y1_fuu.dat}}  |  {{cdata:case078:tb_y1_fvv.dat|tb_y1_fvv.dat}}  |  {{cdata:case078:tb_y1_fuv.dat|tb_y1_fuv.dat}}  |


====Previous Numerical Solutions====

The flow formed one of the testcases studied in the 2nd ERCOFTAC/IAHR Workshop on
Refined Flow Modelling, held at UMIST, Manchester, UK in June 1993.

====References====

  - Simonin, O.,  Barcouda, M. (1986), Measurements of fully developed turbulent flow across tube bundle. //Proc. 3eme Conference Internationale sur les Applications de l'Anemometrie Laser a la Mecanique des Fluides//.
  - Simonin, O., Barcouda, M. (1988), Measurements and prediction of turbulent flow entering a staggered tube bundle. //Proc. 4eme Conference Internationale sur les Applications de l'Anemometrie Laser a la Mecanique des Fluides//.
  - Rollet-Miet, P., Laurence, D., Ferziger, J. (1999), [[https://doi.org/10.1016/S0142-727X(99)00006-5|LES and RANS of turbulent flow in tube bundles]]. //Int. J. Heat and Fluid Flow//, Vol. 22, pp. 241-254.

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Indexed data:
<data dbcase flow_around_body confined_flow>
case       : 078
title      : Flow through staggered tube bundle
author*    : Simonin, Barcouda
year       : 1986
type       : EXP
flow_tag*  : 2d, separated, bluff_body, tube_array
</data>