The effect of geometric parameters on the structure of combined axial and Taylor‐Vortex flow

Abstract

The variation of Taylor‐vortex flow structure with the width of the annulus between concentric cylinders has been studied in combined axial and rotating flow by a direct visualization technique using analytical indicators. The existence of inclined wavy vortex flow with specific transition paths between several wave modes is demonstrated in the low axial Reynolds number range (0 < Re < 50).

Pattern selection in the absolutely unstable regime as a nonlinear eigenvalue problem: Taylor vortices in axial flow

“…However, at larger Re one observes stationary spirals and mixed flow patterns [26,25] in addition to the bifurcation of propagating spirals [25,[21][22][23][24]44]. The latter are predicted by the linear stability analysis to branch off the basic state at Re ≈ 20 [19,20,52].…”

“…Only for higher through-flow rates, which are not investigated here, there is a bifurcation [19,20] to spirals [20][21][22][23][24][25][26]. We have performed numerical simulations of the full, rotationally symmetric, two dimensional (2D) Navier-Stokes equations (NSE).…”

“…Linear stability analyses of the basic state to traveling axisymmetric vortices were performed using various approximations, e. g. , for the narrow-gap limit, or simplified azimuthal velocity, or axial through-flow profiles [40], and later on for various aspect ratios fixed by the diameters of both cylinders [19,20,41,42]. Also, many experiments and comparisons with the theoretical predictions were done [21][22][23][24][25]28,29,[31][32][33][34][35]43,44].…”

Flow and axial dispersion simulation for traveling axisymmetric Taylor vortices

“…In the narrow-gap limit, they also found that the linear theory predicts that axisymmetric vortices form that have a positive axial velocity proportional to the axial flow Reynolds number. Gu and Fahidy (1985;1986) experimentally showed that the effect of axial flow is to decrease wavelength and to increase critical Taylor number. Their range of axial flow Reynolds numbers is substantially higher than Snyder's, starting at Re,=60.…”

Mathematical Modeling and Design of Ultraviolet Light Processes for Liquid Foods and Beverages

“…It has been proven experimentally and numerically that the vortex displacement velocity is about 1.17 times the average axial velocity. [27][28][29][30] Figure 21.14 demonstrates the stream function for different Taylor numbers in a moving frame, namely, the original velocity was subtracted by 1.17 times the average axial velocity. In Figure 21.14, the upper and lower boundaries are the outer and inner cylinders, respectively, and the vortices move from left to right.…”