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991.
Jiann Lin Chen 《Acta Mechanica Sinica》2010,26(3):383-389
This study elaborates the attitude dynamics of a cylinder floating in two immiscible fluids. A cubic polyno- mial was derived based on the attitude angle, weight, center of gravity, and the density ratio of fluids. The numerical solution was validated by experimental data. Under prescribed constraints for the physical model, we have found that multiple solutions exist for cases with no radially biased center of gravity. When the center of gravity is biased, the attitude angles change abruptly around some critical values, which is related to the density ratio. Moreover, the attitude angles are less sensitive to the varying density ratios when the cylinder is heavier. The results also reveal that the cylinder tends to be vertical for nearly the whole range of density ratios when the center of gravity is slightly biased radially. 相似文献
992.
993.
Sanjay Mittal 《国际流体数值方法杂志》2010,63(5):533-547
Global linear stability analysis of the flow past a circular cylinder at the onset of primary wake instability is carried out. The real and imaginary parts of the most unstable eigenmode, responsible for vortex shedding, are very similar but associated with a spatial shift in the vortex structures. This shift results in the convection of vortices that are observed in the unsteady flow, which is actually a consequence of global absolute instability. The kinetic energy density, associated with the most unstable eigenmode, is studied. At the onset of the instability the energy density of the disturbance field is found to be stronger in the far wake compared with the near wake. With increase in Re the region where the disturbance is strong moves upstream closer to the cylinder. However, the maximum value of the kinetic energy density of the disturbance lies outside the recirculation zone even for Re upto 100. A linearized mechanical energy equation for the time evolution of the kinetic energy density of the disturbance is utilized to examine the energy budget of the most unstable eigenmode at various Re. It is found that the most significant contribution to the growth rate of the disturbance arises from the transfer of the energy due to the strain rate of the base flow to the perturbation. The stabilizing effect of the viscous dissipation increases with increase in Re, but saturates for Re beyond ~70. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
994.
Experiments have been conducted to investigate the two-degree-of-freedom vortex-induced vibration (VIV) response of a rigid section of a curved circular cylinder with low mass-damping ratio. Two curved configurations, a concave and a convex, were tested regarding the direction of the flow, in addition to a straight cylinder that served as reference. Amplitude and frequency responses are presented versus reduced velocity for a Reynolds number range between 750 and 15 000. Results for the curved cylinders with concave and convex configurations revealed significantly lower vibration amplitudes when compared to the typical VIV response of a straight cylinder. However, the concave cylinder showed relatively higher amplitudes than the convex cylinder which were sustained beyond the typical synchronisation region. We believe this distinct behaviour between the convex and the concave configurations is related to the wake interference taking place in the lower half of the curvature due to perturbations generated in the horizontal section when it is positioned upstream. Particle-image velocimetry (PIV) measurements of the separated flow along the cylinder highlight the effect of curvature on vortex formation and excitation revealing a complex fluid–structure interaction mechanism. 相似文献
995.
996.
A global Newton method for the zeros of cylinder functions 总被引:2,自引:0,他引:2
The zeros of cylinder functions C
u
(x)=cos α, J
u
(x) - sin α, Y
u(x) coincide with those of the ratios H
u
(x)=C
u
(x)/C
u-1
(x) except, perhaps, at x = 0. We show monotonicity properties of H
u(x) and f
u
(x) = x
2v-1
H
u(x) and their derivatives for x > 0. We then build a Newton-Raphson iterative method based on the monotonic function f
u(x) which is shown to be convergent, for any real values of u and α and any starting value x
0 > 0, to an sth positive root c
,s of C
u
(x) = 0, s being such that c
,s
and x0 belong to the same interval (c
u-1
,s', c
u -1
,s'+1].
We also show applications of the method. In particular, taking advantage of the fact that the ratio H
u
(x) for first kind Bessel functions J
u(x) can be evaluated by using a continued fraction, a very simple algorithm is built; it becomes especially efficient for low
values of u and s and it allows the evaluation of the real zeros for arbitrary orders u, positive or negative.
This revised version was published online in August 2006 with corrections to the Cover Date. 相似文献
997.
Flows over two tandem cylinders were analysed using the newly developed collocated unstructured computational fluid dynamics (CUCFD) code, which is capable of handling complex geometries. A Reynolds number of 100, based on cylinder diameter, was used to ensure that the flow remained laminar. The validity of the code was tested through comparisons with benchmark solutions for flow in a lid‐friven cavity and flow around a single cylinder. For the tandem cylinder flow, also mesh convergence was demonstrated, to within a couple of percent for the RMS lift coefficient. The mean and fluctuating lift and drag coefficients were recorded for centre‐to‐centre cylinder spacings between 2 and 10 diameters. A critical cylinder spacing was found between 3.75 and 4 diameters. The fluctuating forces jumped appreciably at the critical spacing. It was found that there exists only one reattachment and one separation point on the downstream cylinder for spacings greater than the critical spacing. The mean and the fluctuating surface pressure distributions were compared as a function of the cylinder spacing. The mean and the fluctuating pressures were significantly different between the upstream and the downstream cylinders. These pressures also differed with the cylinder spacing. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
998.
smail Hakk Tayyar Serkan Aksoy Ali Alkumru 《Mathematical Methods in the Applied Sciences》2005,28(5):525-549
The electromagnetic scattering of the surface wave by a rectangular impedance cylinder located on an infinite reactive plane is considered for the case that the impedances of the horizontal and vertical sides of the cylinder can have different values. Firstly, the diffraction problem is reduced into a modified Wiener–Hopf equation of the third kind and then solved approximately. The solution contains branch‐cut integrals and two infinite sets of constants satisfying two infinite systems of linear algebraic equations. The approximate analytical or numerical evaluations of corresponding integrals and numerical solution of the linear algebraic equation systems are obtained for various values of parameters such as the surface reactance of the plane, the vertical and horizontal wall impedances, the width and the height of the cylinder. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
999.
The focus of this paper is to study the ability of unsteady RANS‐based CFD to predict separation over a blunt body for a wide range of Reynolds numbers particularly the ability to capture laminar‐to‐turbulent transition. A perfect test case to demonstrate this point is the cylinder‐in‐crossflow for which a comparison between experimental results from the open literature and a series of unsteady simulations is made. Reynolds number based on cylinder diameter is varied from 104 to 107 (subcritical through supercritical flow). Two methods are used to account for the turbulence in the simulations: currently available eddy–viscosity models, including standard and realizable forms of the k–ε model; and a newly developed eddy–viscosity model capable of resolving boundary layer transition, which is absolutely necessary for the type and range of flow under consideration. The new model does not require user input or ‘empirical’ fixes to force transition. For the first time in the open literature, three distinct flow regimes and the drag crisis due to the downstream shift of the separation point are predicted using an eddy–viscosity based model with transition effects. Discrepancies between experimental and computational results are discussed, and difficulties for CFD prediction are highlighted. Copyright © 2004 John Wiley & Sons, Ltd. 相似文献
1000.
用线性变换方法推导了二维正方结构正n边形直柱光子晶体的带隙计算公式.采用线性变换方法可以简单地处理平面波展开方法中ε-1(r)的Fourier变换系数,使得相应的带隙计算变得简单有效.在固定填充率f=04的情况下,计算了砷化镓(ε=114)材料的正n边形直柱光子晶体带隙结构.发现随着n的增加,光子晶体的对称性相应提高,最大带隙的大小出现单调下降趋势.当n趋向于无穷大的时候,计算的正n边形直柱光子晶体的带隙趋向于零,与圆柱的情况完全相符.
关键词:
平面波展开方法
线性变换
正n边形直柱
带隙
对称性 相似文献