Analytical Investigations of Equilibrium and Nonequilibrium Compressible Turbulent Boundary Layers


Book Description

An integral method is presented for the adiabatic compressible turbulent boundary layer which extends recent concepts of turbulent equilibrium boundary layers to the study of nonequilibrium flows. Coles' law of the wall and wake is extended to the case of compressible adiabatic flows with pressure gradient by employing Van Driest's generalized velocities. An analytical expression for the compressible turbulent equilibrium dissipation integral is then derived from the integral momentum, mean energy and local skin friction equations. For the general case of nonequilibrium flows with arbitrary pressure gradients, the dissipation integral is 'unhooked' from the equilibrium pressure gradient parameter through the use of a single empirical curve of existing incompressible flow data. Numerical solutions are then presented for a variety of compressible flows. As a first step in developing an integral method for nonadiabatic flows, the family of incompressible equilibrium enthalpy profiles are solved for from the thermal energy equation. (Author).







Technical Report DYN


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Research Review


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Research Review


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Analysis of Turbulent Boundary Layers


Book Description

Analysis of Turbulent Boundary Layers focuses on turbulent flows meeting the requirements for the boundary-layer or thin-shear-layer approximations. Its approach is devising relatively fundamental, and often subtle, empirical engineering correlations, which are then introduced into various forms of describing equations for final solution. After introducing the topic on turbulence, the book examines the conservation equations for compressible turbulent flows, boundary-layer equations, and general behavior of turbulent boundary layers. The latter chapters describe the CS method for calculating two-dimensional and axisymmetric laminar and turbulent boundary layers. This book will be useful to readers who have advanced knowledge in fluid mechanics, especially to engineers who study the important problems of design.







NASA Technical Note


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