General integral properties of mixing layers
Abstract
If the usual integrals defining displacements and momentum thicknesses are used for mixing layers with a change in the range of integration, they diverge in general. Consequently, the familiar von Karman equation is not generally applicable to a mixing layer. Previous works used the device of dividing the layer into two sublayers and using one integral for each separately with a continuity condition on shear stress. Suitable definitions of displacement and other thicknesses are given here, and a momentum integral relation is obtained. Its form is different from von Karman's equation. The formulation given here is applicable to incompressible and compressible fluids, laminar and turbulent flows and to twodimensional and axisymmetric flows.
 Publication:

Journal of Mathematical and Physical Sciences
 Pub Date:
 August 1974
 Bibcode:
 1974JMPS....8..327Y
 Keywords:

 Boundary Layer Flow;
 Integral Equations;
 Laminar Mixing;
 Mixing Layers (Fluids);
 Stratified Flow;
 Turbulent Mixing;
 Von Karman Equation;
 Axisymmetric Flow;
 Compressible Flow;
 Flow Theory;
 Incompressible Flow;
 Inviscid Flow;
 Shear Stress;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer