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Full-coverage film cooling. Part 2. Prediction of the recovery-region hydrodynamics

Published online by Cambridge University Press:  19 April 2006

S. Yavuzkurt ,
R. J. Moffat  and
W. M. Kays
S. Yavuzkurt
Affiliation:
Mechanical Engineering Department, Stanford University, CA 94305
R. J. Moffat
Affiliation:
Mechanical Engineering Department, Stanford University, CA 94305
W. M. Kays
Affiliation:
Mechanical Engineering Department, Stanford University, CA 94305
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Abstract

Hydrodynamic data are reported in the companion paper (Yavuzkurt, Moffat & Kays 1980) for a full-coverage film-cooling situation, both for the blown and the recovery regions. Values of the mean velocity, the turbulent shear stress, and the turbulence kinetic energy were measured at various locations, both within the blown region and in the recovery region. The present paper is concerned with an analysis of the recovery region only. Examination of the data suggested that the recovery-region hydrodynamics could be modelled by considering that a new boundary layer began to grow immediately after the cessation of blowing. Distributions of the Prandtl mixing length were calculated from the data using the measured values of mean velocity and turbulent shear stresses. The mixing-length distributions were consistent with the notion of a dual boundary-layer structure in the recovery region. The measured distributions of mixing length were described by using a piecewise continuous but heuristic fit, consistent with the concept of two quasi-independent layers suggested by the general appearance of the data. This distribution of mixing length, together with a set of otherwise normal constants for a two-dimensional boundary layer, successfully predicted all of the observed features of the flow. The program used in these predictions contains a one-equation model of turbulence, using turbulence kinetic energy with an algebraic mixing length. The program is a two-dimensional, finite-difference program capable of predicting the mean velocity and turbulence kinetic energy profiles based upon initial values, boundary conditions, and a closure condition.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 101 , Issue 1 , 13 November 1980 , pp. 159 - 178
Copyright
© 1980 Cambridge University Press

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