Constant-Pressure Laminar Mixing of a Shear Layer with a Quiescent Fluid

Citation

Chao, Chia-Chun (1968) Constant-Pressure Laminar Mixing of a Shear Layer with a Quiescent Fluid. Engineer's thesis, California Institute of Technology. doi:10.7907/8FYR-SB25. https://resolver.caltech.edu/CaltechETD:etd-11112005-153627

Abstract

The constant-pressure laminar mixing of an initial shear layer with a quiescent fluid is studied theoretically. The line of singularities at the starting point is removed by abandoning the conventional restriction that the dividing streamline must coincide with the x-axis. Instead, the shape of this streamline in the "near-field" is determined by properly matching inner and outer flow regions so as to cancel any additional induced normal velocity and pressure disturbances in the outer flow. The "far-field" is obtained by applying the momentum integral technique beginning with the profiles determined by the near-field solution some distance downstream of the start of mixing. Universal functions are obtained that enable the progress of the mixing process to be followed both for a Blasius initial profile and an initial profile with a finite slip.

Thesis Files