Abstract: | Several theoretical 1–4] and experimental 5–7] studies have been devoted to the study of the effect of distributed injection of a gaseous substance on the characteristics of the turbulent boundary layer. The primary study has been made of flow past a flat plate with gas injection. The theoretical methods are based primarily on the semiempirical theories of Prandtl 1] and Karman 2].In contrast with the previous studies, the present paper proposes a power law for the mixing length; this makes it possible to obtain velocity profiles which degenerate to the known power profiles 8] in the case of flow without blowing and heat transfer. This approach yields analytic results for flows with moderate pressure gradient.Notation x, y
coordinates
- U, V
velocity components
-
density
- T
temperature
- h
enthalpy
- H
total enthalpy
- c
mass concentration
- , , D
coefficients of molecular viscosity, thermal conductivity, diffusion
- cp
specific heat
-
adiabatic exponent
- r
distance from axis of symmetry to surface
-
boundary layer thickness
- U
velocity in stream core
-
friction
- cf
friction coefficient
- P
Prandtl number
- S
Schmidt number
- St
Stanton number
- M
Mach number
- j=0
plane case
- j=1
axisymmetric case
The indices 1
injected gas
- 2
mainstream gas
- w
quantities at the wall
-
core of boundary layer
- 0
flow of incompressible gas without injection
- v=0
flow of compressible gas without injection
-
*
quantities at the edge of the laminar sublayer
-
quantities at the initial section
-
turbulent transport coefficients |