Numerical study of transonic shock buffet instability mechanism

Author(s):  
Yi Liu ◽  
Gang Wang ◽  
Shi-bin Zhu ◽  
Zhengyin Ye
2013 ◽  
Vol 714 ◽  
pp. 644-670 ◽  
Author(s):  
V. Shevtsova ◽  
Y. A. Gaponenko ◽  
A. Nepomnyashchy

AbstractWe present the results of a numerical study of the thermocapillary (Marangoni) convection in a liquid bridge of $\mathit{Pr}= 12$ ($n$-decane) and $\mathit{Pr}= 68$ (5 cSt silicone oil) when the interface is subjected to an axial gas stream. The gas flow is co- or counter-directed with respect to the Marangoni flow. In the case when the gas stream comes from the cold side, it cools down the interface to a temperature lower than that of the liquid beneath and in a certain region of the parameter space that cooling causes an instability due to a temperature difference in the direction perpendicular to the interface. The disturbances are swept by the thermocapillary flow to the cold side, which leads to the appearance of axisymmetric waves propagating in the axial direction from the hot to cold side. The mechanism of this new two-dimensional oscillatory instability is similar to that of the Pearson’s instability of the rest state in a thin layer heated from below (Pearson, J. Fluid Mech., vol. 4, 1958, p. 489), and it appears at the value of the transverse Marangoni number ${ \mathit{Ma}}_{\perp }^{cr} \approx 39\text{{\ndash}} 44$ lower than that of the Pearson’s instability in a horizontal layer ($48\lt { \mathit{Ma}}_{\perp }^{cr} \lt 80$, depending on the Biot number). The generality of the instability mechanism indicates that it is not limited to cylindrical geometry and might be observed in a liquid layer with cold gas stream.


AIAA Journal ◽  
2011 ◽  
Vol 49 (8) ◽  
pp. 1710-1720 ◽  
Author(s):  
P. J. K. Bruce ◽  
H. Babinsky ◽  
B. Tartinville ◽  
C. Hirsch

2013 ◽  
Vol 716 ◽  
pp. 739-743
Author(s):  
Zhi Feng Zhu

The instability mechanism of propeller wake was investigated numerically on three propellers with different the numbers of blades. With the hybrid grid strategy and the sliding mesh, the Unsteady Navier-Stokes (N-S) and the Bubble Dynamics equations were solved to predict the axial velocity around the propellers and the vapor volume fraction in the blades surface. With the increasing of the numbers of propeller blades, the distance of the interaction decreases, and then the instability phenomena of the propellers wake are hastened.


2000 ◽  
Vol 405 ◽  
pp. 57-77 ◽  
Author(s):  
A. YE. REDNIKOV ◽  
P. COLINET ◽  
M. G. VELARDE ◽  
J. C. LEGROS

An oscillatory instability mechanism is identified for a horizontal liquid layer with undeformable open surface heated from the air side. Although buoyancy and surface tension gradients are expected to play a stabilizing role in this situation, we show that, acting together, they may lead to the instability of the motionless state of the system. The instability is a consequence of the coupling between internal and surface waves, whose resonant interaction and resulting mode mixing are discussed. Predictions amenable to experimental test are given together with a thorough analytical and numerical study of the problem.


2020 ◽  
Vol 57 (6) ◽  
pp. 1242-1251
Author(s):  
Yuichi Kuya ◽  
Kenshiro Boda ◽  
Keisuke Sawada

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