CONSTANT-PRESSURE LAMINAR MIXING OF A SHEAR LAYER WITH A QUIESCENT FLUID.
CALIFORNIA INST OF TECH PASADENA GRADUATE AERONAUTICAL LABS
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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 steamline 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. Author
- Fluid Mechanics