scholarly journals Boundary layer dynamics at the transition between the classical and the ultimate regime of Taylor-Couette flow

2014 ◽  
Vol 26 (1) ◽  
pp. 015114 ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Erwin P. van der Poel ◽  
Roberto Verzicco ◽  
Siegfried Grossmann ◽  
Detlef Lohse
2004 ◽  
Vol 67 (11) ◽  
pp. 2410-2415 ◽  
Author(s):  
L. J. FORNEY ◽  
J. A. PIERSON ◽  
Z. YE

A novel reactor is described with flow characteristics that approach that of ideal plug flow but with a residence time that is uncoupled from the hydrodynamics or boundary layer characteristics. The design described consists of an inner cylinder that rotates within a stationary but larger outer cylinder. At low rotation rates, a laminar, hydrodynamic configuration called Taylor-Couette flow is established, which consists of a system of circumferential vortices within the annular fluid gap. The latter constitutes a spatially periodic flow that is the hydrodynamic equivalent to cross flow over a tube bank or lamp array. These vortices provide radial mixing, reduce the boundary layer thickness, and are independent of the axial flow rate and thus the fluid residence time. An additional feature of the rotating design is the repetitive exposure of the fluid parcels to a minimum number of lamps, which substantially reduces the maintenance requirements. Inactivation data for Escherichia coli (ATCC 15597) were recorded in commercial apple and grape juice that are relatively opaque to UV radiation. With initial E. coli concentrations of approximately 106 CFU/ml, Taylor-Couette flow was found to provide a 3- to 5-log improvement in the inactivation efficiency compared with simple channel flow between concentric cylinders.


2016 ◽  
Vol 794 ◽  
pp. 746-774 ◽  
Author(s):  
Xiaojue Zhu ◽  
Rodolfo Ostilla-Mónico ◽  
Roberto Verzicco ◽  
Detlef Lohse

We present direct numerical simulations of Taylor–Couette flow with grooved walls at a fixed radius ratio ${\it\eta}=r_{i}/r_{o}=0.714$ with inner cylinder Reynolds number up to $Re_{i}=3.76\times 10^{4}$, corresponding to Taylor number up to $Ta=2.15\times 10^{9}$. The grooves are axisymmetric V-shaped obstacles attached to the wall with a tip angle of 90°. Results are compared to the smooth wall case in order to investigate the effects of grooves on Taylor–Couette flow. We focus on the effective scaling laws for the torque, flow structures, and boundary layers. It is found that, when the groove height is smaller than the boundary layer thickness, the torque is the same as that of the smooth wall cases. With increasing $Ta$, the boundary layer thickness becomes smaller than the groove height. Plumes are ejected from the tips of the grooves and secondary circulations between the latter are formed. This is associated with a sharp increase of the torque, and thus the effective scaling law for the torque versus $Ta$ becomes much steeper. Further increasing $Ta$ does not result in an additional slope increase. Instead, the effective scaling law saturates to the ‘ultimate’ regime effective exponents seen for smooth walls. It is found that even though after saturation the slope is the same as for the smooth wall case, the absolute value of torque is increased, and more so with the larger size of the grooves.


2016 ◽  
Vol 809 ◽  
pp. 480-501 ◽  
Author(s):  
Vamsi Spandan ◽  
Detlef Lohse ◽  
Roberto Verzicco

The influence of the underlying flow topology on the shape and size of sub-Kolmogorov droplets dispersed in a turbulent flow is of considerable interest in many industrial and scientific applications. In this work we study the deformation and orientation statistics of sub-Kolmogorov droplets dispersed into a turbulent Taylor–Couette flow. Along with direct numerical simulations (DNS) of the carrier phase and Lagrangian tracking of the dispersed droplets, we solve a phenomenological equation proposed by Maffettone and Minale (J. Non-Newtonian Fluid Mech., vol. 78, 1998, pp. 227–241) to track the shape evolution and orientation of approximately $10^{5}$ ellipsoidal droplets. By varying the capillary number $Ca$ and viscosity ratio $\hat{\unicode[STIX]{x1D707}}$ of the droplets we find that they deform more with increasing capillary number $Ca$ and this effect is more pronounced in the boundary layer regions. This indicates that along with an expected capillary number effect there is also a strong correlation between spatial position and degree of deformation of the droplet. Regardless of the capillary number $Ca$, the major axis of the ellipsoids tends to align with the streamwise direction and the extensional strain rate eigendirection in the boundary layer region while the distribution is highly isotropic in the bulk due to the strong mixing provided by the large-scale vortical structures. When the viscosity ratio between the droplet and the carrier fluid is increased we find that there is no preferential stretched axis which is due to the increased influence of rotation over stretching and relaxation. Droplets in high viscosity ratio systems are thus less deformed and oblate (disk-like) as compared to highly deformed prolate (cigar-like) droplets in low viscosity ratio systems.


Author(s):  
Yabo Xue ◽  
Zhenqiang Yao ◽  
De Cheng ◽  
Hong Shen ◽  
Shengde Wang

Torque behavior in Taylor-Couette flow has been discussed for decades of years and a series of torque behavior models have been proposed to deepen the understanding of dynamic behavior. In industry fields, the empirical relations based on torque measurement of scaled models in laboratory have been widely used to predict the torque behavior of rotating machinery. However, they fail sometimes, especially in ultimate flow regime. Therefore, a uniform theory based on physical mechanism is needed to model the torque behavior. Under the efforts of many scholars, fortunately, Eckhardt-Grossmann-Lohse theory throws light upon this problem from momentum transfer behavior based on N-S equations. It argues that angular velocity current seems to be constant in the gap, meanwhile, bulk flow theory shows that turbulent bulk and boundary layer play different roles in momentum transfer behavior. Compared with the thickness of boundary layer, surface texture is the same level in dimension. What is the interaction mechanism between the boundary layer and surface texture and how much does surface texture affect torque behavior? In this paper, we mainly focus on how surface texture affects the momentum transfer behavior. To investigate the surface effect on momentum transfer behavior, global torque behavior was measured through rotating multicomponent dynamometer of Kistler and surface texture effect on dynamic behavior of boundary layer was observed through high speed camera of Phantom. To compare the effect of different surface texture, the surface morphology was mapped by stereoscopic microscope of Zeiss. The results indicate that irregular surface texture strengthens the momentum transfer behavior through boundary layer transportation.


2021 ◽  
Vol 126 (6) ◽  
Author(s):  
Dennis Bakhuis ◽  
Rodrigo Ezeta ◽  
Pim A. Bullee ◽  
Alvaro Marin ◽  
Detlef Lohse ◽  
...  

2016 ◽  
Vol 1 (5) ◽  
Author(s):  
Rodolfo Ostilla-Mónico ◽  
Detlef Lohse ◽  
Roberto Verzicco

RSC Advances ◽  
2021 ◽  
Vol 11 (28) ◽  
pp. 16841-16848
Author(s):  
Younghyun Cha ◽  
Yong-Ju Park ◽  
Do Hyun Kim

Fe2O3@MoS2 0D/2D-nanocomposite material was synthesized in an aqueous solution using a Taylor–Couette flow reactor.


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