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).




Use of the Turbulence Kinetic Energy Equation in Prediction of Nonequilibrium Turbulent Boundary Layers


Book Description

"A differential method is proposed for the prediction of a broad range of turbulent boundary layers of engineering and scientific interest. A digital computer program is presented which is applicable to boundary layers with positive, negative, and zero pressure gradient in the main-stream direction as well as boundary layers with suction, blowing or zero mass addition at the wall. The turbulence kinetic energy equation is solved simultaneously with the longitudinal momentum and continuity equations to provide an independent means for determining the effective viscosity which makes allowance for "history" effects in the flow. It is shown that the prediction method may be easily extended to cover the energy and species equations when the need arises to predict boundary layers with thermal gradients and/or those comprised of a mixture of gases. Mathematical models have been found which adequately close the system of governing equations as evident by the successful prediction of the behavior of a wide range of equilibrium and non-equilibrium turbulent boundary layers"--Abstract page ii.







Use of the Turbulence Kinetic Energy Equation in Prediction of Nonequilibrium Turbulent Boundary Layers


Book Description

"A differential method is proposed for the prediction of a broad range of turbulent boundary layers of engineering and scientific interest. A digital computer program is presented which is applicable to boundary layers with positive, negative, and zero pressure gradient in the main-stream direction as well as boundary layers with suction, blowing or zero mass addition at the wall. The turbulence kinetic energy equation is solved simultaneously with the longitudinal momentum and continuity equations to provide an independent means for determining the effective viscosity which makes allowance for "history" effects in the flow. It is shown that the prediction method may be easily extended to cover the energy and species equations when the need arises to predict boundary layers with thermal gradients and/or those comprised of a mixture of gases. Mathematical models have been found which adequately close the system of governing equations as evident by the successful prediction of the behavior of a wide range of equilibrium and non-equilibrium turbulent boundary layers"--Abstract leaf ii.