The effective Reynolds number of a heated cylinder

The influence of temperature gradient on the Strouhal–Reynolds number relationship for water and air

“…The effective temperature is close to the hot recirculation zone temperature according to Dumouchel et al [15]; furthermore the maximum temperature in the wake measured by Yahagi [18] was apparently very close to the effective temperature according to the calculation by Wang et al [11]. However, no consistent and reliable experimental confirmation of this idea has been published in the available literature thus far, a fact that is one of the main motivations of this study.…”

“…Maas et al [28] found that for water at Ri = 0.3 the flow becomes 3D. Other criteria are mentioned by Dumouchel et al [15] and by Wang and Trávníček [29]. In fact, the maximum Ri values in the experiments by Dumouchel et al [15] and by Wang et al [11] were much lower, around Ri 6 0.012 and 0.02, respectively, to avoid mixed convection in the laminar vortex shedding regime.…”

“…The idea of effective temperature was proposed originally by Lecordier et al [14], and used later by Dumouchel et al [15], who worked out this concept and calculated the effective kinematic viscosity m eff from an effective temperature T eff that is defined by…”

On the effective temperature and Reynolds number concept for a heated circular cylinder: commentary of the article by Baranyi et al.

“…It was proposed originally by Lecordier et al, 1991 [8], and used later in Refs. [9,10]. By means of this concept, the effective Reynolds number is defined as Re eff =U ∞ D/ν eff , where ν eff is the kinematic viscosity related to the effective temperature T eff .…”

The onset of oblique vortex shedding behind a heated circular cylinder in laminar wake regime

“…Recent attempts on revealing the so-called "effective temperature concept" based on the critical Reynolds number have provided an inspiring alternative approach for the definition of the characteristic temperature. 7,[10][11][12][13] The critical Reynolds number, denoted as Re C , is defined as the Reynolds number at the onset of vortex shedding. The cylinder heating increases the value of Re C due to the increase of air kinematic viscosity that decreases the local Reynolds number.…”