On the relationship of effective Reynolds number and Strouhal number for the laminar vortex shedding of a heated circular cylinder

Physics of Fluids - Tập 12 Số 6 - Trang 1401-1410 - 2000
An-Bang Wang1, Zdeněk Trávnı́ček1, K. N. Chia1
1National Taiwan University, Institute of Applied Mechanics, No. 1, Roosevelt Rd., Sec. IV, 106 Taipei, Taiwan, Republic of China

Tóm tắt

The laminar vortex shedding of airflow behind a circular cylinder with different heating temperatures was experimentally investigated with emphasis on the relationship of wake frequency and the Reynolds number. A new method to generate the two-dimensional parallel vortex shedding for the heated cylinder was developed and tested. An “effective Reynolds number” that employs a kinematic viscosity computed from an “effective temperature” is used to account for the temperature effects on the vortex shedding frequency. The present result shows that the frequency data could be successfully collapsed with the effective temperature computed by Teff=T∞+0.28(TW−T∞) for a wide range of cylinder temperatures, T∞ and TW being the free-stream temperature and cylinder surface temperature, respectively. Moreover, the relationship between Strouhal number and effective Reynolds number was found to be “universal.” The physical interpretation of Teff and the applicable region of the St–Reeff curve are discussed.

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