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Simple Model For Mixing At Accelerated Fluid Interfaces With Shear And Compression, John D. Ramshaw
Simple Model For Mixing At Accelerated Fluid Interfaces With Shear And Compression, John D. Ramshaw
Physics Faculty Publications and Presentations
A simple model was recently described for predicting linear and nonlinear mixing at an unstable planar interface between two fluids of different density subjected to an arbitrary time-dependent variable acceleration history [J. D. Ramshaw, Phys. Rev. E 58, 5834 (1998)]. Here we generalize this model to include the Kelvin-Helmholtz (KH) instability resulting from a tangential velocity discontinuity delta u, as well as the effects of a uniform anisotropic compression or expansion of the mixing layer as a whole. The model consists of a second-order nonlinear ordinary differential equation of motion for the half-width h of the mixing layer. This equation …