# 2D low-Reynolds flow around cylinder

Authors: Various authors

Type: Numerical

Status:

Description

## Description

We study two-dimensional, laminar, unsteady flow around a cylinder. The domain is rectangular and contains a circular cylinder.

At the inlet, the velocity profile is uniform and its value is %$V_0$%. Slip boundary conditions on the lateral walls are imposed for the velocity. On the cylinder, the wall conditions are a non-slip condition since the flow is laminar. At the end of each calculation must be checked that all faces on the wall have developed a viscous boundary layer. The outlet is a free-flow condition.

 Geometry of the test case

## Flow Parameters

• Velocity input:%$V_0=1m/s$%
• Density :%$\rho = 1 kg/m^3$%
• Dynamic viscosity :%$\mu=0.015kg.m^{-1}.s^{-1}$%
• Reynolds number based on diameter of the cylinder : Re =%$\rho{V_0}d/\mu=100$%

### Geometrical features

• Length of the field :%$L=38m$%
• Width of the field :%$h=12m$%
• Diameter of the cylinder :%$d=1.5m$%
• Position of the%$C$%center of the cylinder :%$x_c=5m$%,%$z_c=6m$%

## Reference Publications

[1] Roshko, Report Nat. Adv. Comm. Aero., Wash, no1191, 1954.

[2] Tritton, A note on vortex streets behind circular cylinders at low Reynolds numbers, Journal of fluid mechanics, vol 45, part 1, 203-208, 1971.

[3] Gresho, Lee, Upson, F.E.M. solution of the Navier-Stokes equations for vortex shedding behind a cylinder, Adv. water ressources, 1981.

[4] Jordan, Fromm, Oscillatory drag, lift and torque on a circular cylinder in a uniform flow, Phys. fluids 15(3)371, 1972.

[5] Boisson, Braza, Chassaing, Ha Minh, Sur les champs de vitesse et de pression induits par l’allée tourbillonaire d’un sillage turbulent, Revue d’acoustique n°67, 1983

[6] Martinez, Thèse de docteur ingénieur, INP Toulouse, 1979.

[7] Martinez, Thèse de docteur ingénieur, INP Toulouse, 1979.

[8] Chabard J.P., Lalanne P., Métivet B., Projet N3S de Mécanique des fluides. Cahier de validation 2D, Rapport EDF HE-41/88.08, 1988.

[9] Chabard J.P., Projet N3S de Mécanique des fluides. Cahier de validation de la version 3.0 (Tome 1 : validation 2D), Rapport EDF HE-41/90.11 B, 1990.

[10] Schlichting, Boundary layer theory, Mac Graw-Hill series in Mechanical Engineering.

## Results

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Topic attachments
I Attachment Action Size Date Who Comment
gif GeomCyl.gif manage 2.3 K 2009-09-25 - 14:06 NathalieGervais Geometry of the test case
Topic revision: r87 - 2018-11-28 - 22:00:32 - ConstantinosKatsamis
CfdTm Web
12 Dec 2019

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