Trettel, Andrew JamesA transformation is derived that removes the effects of variable properties from wall-bounded 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.enThesisMechanical engineeringAerospace engineeringApplied mathematics