scholarly journals Shear flows and their suppression at large aspect ratio: Two-dimensional simulations of a growing convection zone

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
J. R. Fuentes ◽  
A. Cumming
1989 ◽  
Vol 111 (3) ◽  
pp. 683-689 ◽  
Author(s):  
L. S. Yao ◽  
B. B. Rogers

Mixed convection in an annulus of large aspect ratio is studied. At an aspect ratio of 100, the effect of wall curvature is minimal, and both the base flow and the stability characteristics approach those of a two-dimensional channel flow. The linear-stability results demonstrate that the fully developed flow is unstable in regions of practical interest in an appropriate parameter space. Consequently, commonly assumed steady parallel countercurrent flows in many idealized numerical and analytical studies are unlikely to be observed experimentally.


2008 ◽  
Vol 611 ◽  
pp. 97-106 ◽  
Author(s):  
CHRISTOPHE ELOY ◽  
ROMAIN LAGRANGE ◽  
CLAIRE SOUILLIEZ ◽  
LIONEL SCHOUVEILER

We address the flutter instability of a flexible plate immersed in an axial flow. This instability is similar to flag flutter and results from the competition between destabilizing pressure forces and stabilizing bending stiffness. In previous experimental studies, the plates have always appeared much more stable than the predictions of two-dimensional models. This discrepancy is discussed and clarified in this paper by examining experimentally and theoretically the effect of the plate aspect ratio on the instability threshold. We show that the two-dimensional limit cannot be achieved experimentally because hysteretical behaviour and three-dimensional effects appear for plates of large aspect ratio. The nature of the instability bifurcation (sub- or supercritical) is also discussed in the light of recent numerical results.


1979 ◽  
Vol 19 (9) ◽  
pp. 1223-1233 ◽  
Author(s):  
R.J. Hastie ◽  
K.W. Hesketh ◽  
J.B. Taylor

High Reynolds number ( Re ) flows through large aspect ratio ( λμ ) tubes of rectangular cross section are studied. One wall of the tube is slightly deformed to produce a two-dimensional distortion of length λ . We determine conditions for the flow at the centre of the tube and near the distortion to approximate the appropriate two-dimensional solution: namely, λμ ≫ ( λ -1 Re ) 1/6 if Re 1/7 ≲ λ and μ ≫ 1 if Re 1/7 ≳ λ . However, the latter condition needs to be strengthened to λμ ≫ Re 1/7 if the flow is additionally to be approximately two-dimensional far up- and down-stream. The method of solution includes a numerical calculation for the flow in the sharp corners of the tube. We deduce that for sufficiently short distortions ( λ ≪ Re 1/9 (ln Re ) 11/9 ), the sharp corners can effectively isolate disturbances in the wall boundary layers from each other. However, for larger distortions the disturbances in the boundary layers are all of comparable magnitude owing to interactions at the corners. Our examination of the corner regions also enables us to confirm a hypothesis, due to Hocking (1977) and others, that to leading order the pressure is constant in approximately square regions at the sides of the tube.


1980 ◽  
Vol 51 (2) ◽  
pp. 370-380 ◽  
Author(s):  
J.M. Hewitt ◽  
D.P. McKenzie ◽  
N.O. Weiss

1980 ◽  
Vol 102 (3) ◽  
pp. 275-282 ◽  
Author(s):  
J. Ashjaee ◽  
J. P. Johnston

Straight-walled, two-dimensional diffusers of large aspect ratio were investigated experimentally for the purpose of studying the regime of incipient transitory stall, the location of the geometry of peak diffuser pressure recovery. Twelve symmetric diffusers of constant nondimensional length (L/W1 = 15) with total included angles ranging from 4 to 24 degrees, covering attached, intermittently detaching, and unsteady detached flows were examined. Tests were run at one inlet blockage, 2δ1 / W1 = 0.027, and at an inlet Reynolds number of U1 W1/ν = 2.2 × 105 with air flow at low inlet Mach number. Pressure recovery and flow direction intermittency were obtained along the diffuser walls. An objective comparison of the UIM method of Ghose and Kline and an improved prediction method [Appendix] was performed with respect to these new experimental data. Some new conclusions are drawn concerning the nature of the flow in the vicinity of peak pressure recovery.


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