INTERACTION OF A RECTILINEAR CIRCULAR VORTEX FLOW FIELD WITH A PROGRESSING EXPANSION WAVE.
Interim technical rept.,
SYRACUSE UNIV RESEARCH INST N Y DEPT OF MECHANICAL AND AEROSPACE ENGINEERING
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A theoretical analysis of the non-steady interaction of a rectilinear circular vortex flow field with a progressing expansion wave is developed. The expansion wave was assumed to remain linear throughout the interaction. The analysis describes the non-steady behavior of a single particle from the potential region of the vortex flow field as it passes through the expansion wave and the analysis is then extended to describe the behavior of any fluid curve selected from the original circular streamlines of the vortex flow field. The solution of the interaction problem was found by using standard numerical analysis procedures and the numerical solution was then programmed and performed on an IBM 70741460 digital computerplotter system. The major effect of the interaction is found to be a linear stretching of the vortex flow field coupled with an asymmetric skewing effect which decreases with increasing radius from the vortex core. The numerical solution was qualitatively evaluated and found to give results which are physically valid for the portion of the vortex flow field in which the magnitude of the radial vortex pressure gradient is smaller than the magnitude of the pressure gradient of the expansion wave during the time of interaction. Author
- Fluid Mechanics