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

Author: Chao, Chia-Chun

Year: 1968

Degree: Engineer's thesis

Advisors: Lees, Lester; Kubota, Toshi

Committee Member: Unknown, Unknown

Option: Aeronautics

DOI: 10.7907/8FYR-SB25

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.

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