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http://dx.doi.org/10.3795/KSME-B.2003.27.8.1023

Double Frequency Forcing of the Laminar Separated Flow over a Backward-Facing Step  

Kim, Sung-Wook (서울대학교 마이크로열시스템 연구센터)
Choi, Hae-Cheon (서울대학교 기계항공공학부)
Yoo, Jung-Yul (서울대학교 기계항공공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.27, no.8, 2003 , pp. 1023-1032 More about this Journal
Abstract
The effect of local forcing on the separated flow over a backward-facing step is investigated through hot-wire measurements and flow visualization with multi-smoke wires. The boundary layer upstream of the separation point is laminar and the Reynolds number based on the free stream velocity and the step height is 13800. The local forcing is given from a slit located at the step edge and the forcing signal is always defined when the wind tunnel is in operation. In case of single frequency forcing, the streamwise velocity and the reattachment length are measured under forcing with various forcing frequencies. For the range of 0.010〈S $t_{\theta}$〈0.013, the forcing frequency component of the streamwise velocity fluctuation grows exponentially and is saturated at x/h = 0.75 , while its subharmonic component grows following the fundamental and is saturated at x/h = 2.0. However, the saturated value of the subharmonic is much lower than that of the fundamental. It is observed that the vortex formation is inhibited by the forcing at S $t_{\theta}$ = 0.019 . For double frequency forcing, natural instability frequency is adopted as a fundamental frequency and its subharmonic is superposed on it. The fundamental frequency component of the streamwise velocity grows exponentially and is saturated at 0.5 < x/ｈ < 0.75, while its subharmonic component grows following the fundamental and is saturated at x/ｈ= 1.5 . Furthermore, the saturated value of the subharmonic component is much higher than that for the single frequency forcing and is nearly the same or higher than that of the fundamental. It is observed that the subharmonic component does not grow for the narrow range of the initial phase difference. This means that there is a range of the initial phase difference where the vortex parring cannot be enhanced or amplified by double frequency forcing. In addition, this effect of the initial phase difference on the development of the shear layer and the distribution of the reattachment length shows a similar trend. From these observations, it can be inferred that the development of the shear layer and the reattachment length are closely related to the vortex paring.
Keywords
Local Forcing; Vortex Pairing; Fundamental; Subharmonic; Phase Difference;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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