Turbulent flat plate


The domain comprises a 2D rectangular slab as shown below:

Case description


Several meshes are employed to highlight the sensitivity of the computed skin friction coefficient to the near wall \( y^+ \) over the range \( 0.05 < y^+ < 100 \). All meshes are generated using blockMesh and employ the same number of cells whereby the first cell height is varied by changing the expansion ratio from the wall patch.


Mesh close-up

Boundary conditions

Common fields

Velocity: U

Patch condition value
Inlet fixedValue 69.4 m/s in x
Outlet zeroGradient
Walls noSlip

Pressure: p

Patch condition value
Inlet zeroGradient
Outlet fixedValue 0 Pa (static)
Walls zeroGradient

Turbulence viscosity: nut

Patch condition value
Inlet calculated
Outlet calculated
Walls nutUSpaldingWallFunction

Turbulence fields

Inlet conditions are based on an inlet turbulence intensity of 0.0039%, and turbulence viscosity ratio of 0.009.

Turbulence kinetic energy: k

Patch condition value
Inlet fixedValue based on 0.039% intensity
Outlet zeroGradient
Walls kqRWallFunction

Turbulence specific dissipation rate: omega

Patch condition value
Inlet fixedValue based on nut/nu = 0.009
Outlet zeroGradient
Walls omegaWallFunction


The following figures show the predicted skin friction coefficient as a function of Reynolds number, compared against the experimental data from Weighardt [95]

Skin friction: low y-plus
Skin friction: high y-plus

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