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Velocity transformation for compressible wall turbulence with heat transfer

Title of thesis: VELOCITY TRANSFORMATION FOR COMPRESSIBLE WALL TURBULENCE WITH HEAT TRANSFER Andrew Trettel, Master of Science, 2015 Thesis directed by: Professor Johan Larsson Department of Mechanical Engineering A transformation is derived that removes the effects of variable properties from wallbounded turbulent flows. The transformation derives from the logarithmic velocity profile and the universality of the stress balance. The Van Driest transformation and the viscous sublayer transformation form subsets of this proposed transformation. This transformation is validated against direct numerical simulations of compressible turbulent channel flows. VELOCITY TRANSFORMATION FOR COMPRESSIBLE WALL TURBULENCE WITH HEAT TRANSFER