scholarly journals Low Reynolds number deformation of viscous drops in a bounded flow region under surface tension

2000 ◽  
Vol 31 (1) ◽  
pp. 99-118 ◽  
Author(s):  
A.R.M. Primo ◽  
L.C. Wrobel ◽  
H. Power
2013 ◽  
Vol 2013 (0) ◽  
pp. 143-144
Author(s):  
Naoto YAMAGUCHI ◽  
Isao TERUYA ◽  
Masaaki ISHIKAWA ◽  
Yuta MURO

Author(s):  
Roberto Pacciani ◽  
Michele Marconcini ◽  
Andrea Arnone ◽  
Francesco Bertini

A study of the separated flow in high-lift, low-Reynolds-number cascade, has been carried out using a novel three-equation, transition-sensitive, turbulence model. It is based on the coupling of an additional transport equation for the so-called laminar kinetic energy with the Wilcox k-ω model. Such an approach takes into account the increase of the non-turbulent fluctuations in the pre-transitional and transitional region. Two high-lift cascades (T106C and T108), recently tested at the von Ka´rma´n Institute in the framework of the European project TATMo (Turbulence and Transition Modelling for Special Turbomachinery Applications), were analyzed. The two cascades have different loading distributions and suction side diffusion rates, and therefore also different separation bubble characteristics and loss levels. The analyzed Reynolds number values span the whole range typically encountered in aeroengines low-pressure turbines operations. Several expansion ratios for steady inflow conditions characterized by different freestream turbulence intensities were considered. A detailed comparison between measurements and computations, including bubble structural characteristics, will be presented and discussed. Results with the proposed model show its ability to predict the evolution of the separated flow region, including bubble bursting phenomena, in high-lift cascades operating in LP-turbine conditions.


Author(s):  
Lisa Grega

Flows at the very low Reynolds number regime (<10) typically have application to the understanding of the dispersion of micro-scale particulates in the atmosphere, as well as microorganisms. Most particulates are non-spherical, requiring specialized studies in order to determine their settling velocities, drag forces, or interactions. The present study considers flow over saccate pollen with the goal of better understanding their flight dynamics. The pollen grains of several gymnosperm groups consist of a main body and one to three air-filled bladders, or sacci, forming ellipsoidal lobes. Previous studies have demonstrated that sacci increased the resistance coefficient of the grain compared to one without sacci, thereby improving its aerodynamic efficiency by increasing dispersal distance. In order to better quantify the effect of sacci position, size, and orientation on pollen dispersion, scaled-up physical models were created based on electron microscopy images. Furthermore, surface ornamentation or texture could be added to the models, adding a higher degree of realism. The models were suspended inside of a glycerin-filled tank capable of translating at very low speeds, producing Reynolds numbers as low as 0.05. Particle Image Velocimetry (PIV) was used to measure velocity fields in the wake of the pollen models. This experimental arrangement facilitated the ability to produce both steady and unsteady (i.e. accelerating or decelerating) flows. Differences among the wake flowfields were related to previously made measurements of pollen shape factors. These studies suggested that both sacci size, orientation or relative position on the main body, as well as surface texture affected this shape factor. The PIV measurements are capable of resolving wake details which demonstrate a wide stagnant flow region behind the main body and between the sacci. This is in contrast to a typical spherical or ellipsoidal geometry, which would be characterized by a single stagnation streamline at the aft, with the flow remaining attached and no wake present when Re<1. At these low Reynolds numbers, there does not appear to be evidence of flow reversal between the sacci; however rapid flow deceleration was capable of producing such reversals.


Author(s):  
R Pacciani ◽  
M Marconcini ◽  
A Arnone ◽  
F Bertini

The laminar kinetic energy (LKE) concept has been applied to the prediction of low-Reynolds number flows, characterized by separation-induced transition, in high-lift airfoil cascades for aeronautical low-pressure turbine applications. The LKE transport equation has been coupled with the low-Reynolds number formulation of the Wilcox's k − ω turbulence model. The proposed methodology has been assessed against two high-lift cascade configurations, characterized by different loading distributions and suction-side diffusion rates, and tested over a wide range of Reynolds numbers. The aft-loaded T106C cascade is studied in both high- and low-speed conditions for several expansion ratios and inlet freestream turbulence values. The front-loaded T108 cascade is analysed in high-speed, low-freestream turbulence conditions. Numerical predictions with steady inflow conditions are compared to measurements carried out by the von Kármán Institute and the University of Cambridge. Results obtained with the proposed model show its ability to predict the evolution of the separated flow region, including bubble-bursting phenomenon and the formation of open separations, in high-lift, low-Reynolds number cascade flows.


2017 ◽  
Vol 825 ◽  
pp. 1035-1055 ◽  
Author(s):  
Anis A. M. Alias ◽  
Michael A. Page

Diffusion-driven flow occurs when any insulated sloping surface is in contact with a quiescent stratified and viscous fluid. This startling fluid motion is generally very slow, and is caused by a hydrostatic pressure imbalance due to bending of isotherms near the surface. In contrast to previous studies of the phenomenon, the low-Reynolds-number case is considered here, for which the induced steady motion is influenced by viscous and density diffusion over a much larger length scale than the size of the insulated object. The relevant linear equations of steady two-dimensional motion in a linearly stratified fluid are solved for a circular cylinder using a matched two-region approach that yields analytical solutions for the streamfunction and the density variations both close to and far from the object. The exact analytical expressions for the solutions in the ‘outer-flow region’ are new, and after matching enable accurate solutions to be evaluated easily at any point. Similar qualitative behaviour is expected under similar conditions near isolated objects of other shapes, including for a sphere. Implications for multiple objects are also discussed.


2010 ◽  
Vol 70 (1-3) ◽  
pp. 321-331 ◽  
Author(s):  
Y. M. Stokes ◽  
B. H. Bradshaw-Hajek ◽  
E. O. Tuck

2006 ◽  
Vol 145 (4) ◽  
pp. 791-807 ◽  
Author(s):  
V RAGHAVAN ◽  
D POPE ◽  
D HOWARD ◽  
G GOGOS

2018 ◽  
Vol 12 (3) ◽  
pp. 255
Author(s):  
Muhammad Zal Aminullah Daman Huri ◽  
Shabudin Bin Mat ◽  
Mazuriah Said ◽  
Shuhaimi Mansor ◽  
Md. Nizam Dahalan ◽  
...  

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