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Abstract
This paper describes the application of a three-dimensional finite difference procedure to the analysis of the flow and thermal (or concentration) fields created by the injection of fluid through a single hole in a plane wall past which an external stream is flowing. Attention is given to cases where injection velocities are less than the external free-stream velocity. This range of conditions has great relevance to the cooling of turbine blades by injection through discrete holes in the blade surface.
The physical model characterizing turbulent transport is based on the solution of transport equations for the turbulence energy and its viscous rate of dissipation. Due account is taken of the anisotropy of the diffusion coefficients in directions parallel with and perpendicular to the blade surface.
For injection velocities uo to 10% of the free-stream velocity in the case of 90° injection and up to 50% for the case of 30° injection, the predicted solutions are in close agreement with the measured behavior. Further increase in injection rates, however, leads to a serious worsening of agreement. The source of the disagreement is discussed.
