1958
DOI: 10.2514/8.7647
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Transformation of the Compressible Turbulent Boundary Layer

Abstract: The transformation of the compressible turbulent boundaryJayer equations to their incompressible equivalent is demonstrated analytically. The transformation is essentially the same as that for the laminar layer, first given by Stewart son, except that the explicit relation between the viscosity and temperature is not required. A key point in the analysis is the modification of the stream function to include a mean of the fluctuating components and the postulate that the apparent turbulent shear, associated wit… Show more

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Cited by 32 publications
(7 citation statements)
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“…No significant difference was found. Mager's (1958) compressibility transformation, as used here, (with y = 1.4) is defined bv the relations…”
Section: Head's Methods For Incompressible Flowsmentioning
confidence: 99%
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“…No significant difference was found. Mager's (1958) compressibility transformation, as used here, (with y = 1.4) is defined bv the relations…”
Section: Head's Methods For Incompressible Flowsmentioning
confidence: 99%
“…In his original paper, Mager (1958) presented more general relations than those above, claiming to improve the transformation by allowing a more accurate description of the variation of viscosity with temperature. However, following publication by Squire (1962) of an unfavourable comparison between skinfriction measurements in helium and the predictions of this more general form of the transformation, Mager (1962) reimposed Stewartson's restriction on viscosity variation.…”
Section: Mager's Transformationmentioning
confidence: 99%
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“…The momentum equation, however, is not similarly simplified, unless an extra conservation law is postulated between the two systems. This was introduced first by Mager (1958) in planar turbulent boundary layers and conserves the turbulent inertia forces (terms proportional to u v ) between the two systems. A similar law (and the one that will be used here) was later used by Libby (1962) and Ting & Libby (1960) in the treatment of axisymmetric turbulent flames.…”
Section: Theoretical Premisesmentioning
confidence: 99%
“…The first of these attempts was made by Mager. 5 The only systematic attempt to find a suitable transformation was made by Coles 6 for the turbulent boundary-layer problem. Incidentally, in almost all cases examined by these authors, attention was focused on an incomplete form of the equations of the mean motion.…”
mentioning
confidence: 99%