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Direct numerical simulation of channel flow with wall injection


The present study investigates turbulent flows subject to strong wall injection in a channel through a Direct Numerical Simulation technique. These flows are pertinent to internal flows inside the hybrid rocket motors. A simplified model problem where a regression process at the wall is idealized by the wall blowing has been studied to gain a better understanding of how the near-wall turbulent structures are modified. As the strength of wall blowing increases, the turbulence intensities and Reynolds shear stress increase rapidly and this is thought to result from the shear instability induced by the injected flows at the wall. Also, turbulent viscosity grows rapidly as the flow moves downstream. Thus, the effect of wall-blowing modifies the state of turbulence significantly and more sophisticated turbulence modeling would be required to predict this type of flows accurately.

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C f :

Skin friction coefficient based on inlet bulk velocity

h :

Half channel height

L x,L z :

Domain size in the streamwise and spanwise directions, respectively

p :


t :


Re h :

Reynolds number based on inlet bulk velocity,U b h/ν

Re u b′:

\( - \frac{{\overline {u'v'} }}{{u_{rms} v_{rms} }}\)

Re τ :

Reynolds number based on inlet friction velocity,u τ,inleth/v

U b :

Bulk velocity at inlet of the computational domain

U c :

Convection velocity

U mean :

Averaged streamwise velocity

U + :

Mean streamwise velocity made dimensionless with inlet friction velocity

u i :

Velocity component.i = l, 2, 3

u rms, Vrms, Wrms :

Turbulence intensities inx, y andz directions

uτ :

Friction velocity

x. y, z :

Cartesian coordinate in the streamwise, wall-normal and spanwise directions


Wall injection parameter.V w/Ub

V t :

Turbulent viscosity


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Correspondence to Yang Na.

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Na, Y. Direct numerical simulation of channel flow with wall injection. KSME International Journal 17, 1543–1551 (2003).

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Key Words

  • Turbulent Flow
  • Wall Injection
  • Direct Numerical Simulation
  • Turbulent Viscosity