Comparison of theoretical and experimental wall pressure wavenumber-frequency spectra for axisymmetric and flat-plate turbulent boundary layers

The measurement and analysis of turbulent boundary layer wall pressure fluctuations using a wavenumber filter of sensors provide quantitative knowledge of turbulence physics. In addition, the sources of flow-induced noise and vibration for towed SONAR arrays can be determined. An axisymmetric turbulent boundary layer can have significantly different features than those of a comparable flat-plate boundary layer. Here, a detailed comparison of the distribution of wall pressure energy in both wavenumber and frequency between flat-plate and thick axisymmetric boundary layers is presented. The background theory of wavenumber-frequency spectra and state-of-the-art models for flat-plate boundary layers are discussed. The widely used model of Chase (1987), valid for flat-plate boundary layers over a wide range of Reynolds numbers, is used and combined with a sensor response function to allow the effects of spatial averaging to be considered. It is demonstrated that when measured boundary layer parameters for the axisymmetric case are used in the Chase flat-plate model, the results accurately predict the axisymmetric boundary layer wall pressure measurements.     

Wave forces on an open-bottom submersible drilling structure

A wave tank test was conducted to measure the forces on a submersible drilling rig model. The results were compared with the analytical results based on linear wave diffraction theory. The test set-up necessitated a small uniform gap between the rig model and the tank floor. Thus, the set-up duplicated an open bottom structure or a structure on a porous foundation. The measured vertical forces experienced a significant reduction due to this gap. The results showed that the measured horizontal forces correlated well with the theory. Because of the small gap, the numerical modeling of the potential theory is difficult and the vertical forces or overturning moment are not expected to correlate. The theoretical values for the vertical forces are based on bottom-seated structure. The theoretical vertical forces were adjusted with the corresponding mean bottom pressure around the structure times the footprint area. The correlation with the adjusted vertical forces were found to be good. Thus, for a small gap at the bottom, the pressure underneath the structure may be well represented by the mean bottom pressures of a sealed structure. Note that the real structure will experience a wave pressure at the bottom due to seepage and thus, the test case is closer to the real situation than the sealed case. The magnitude of this pressure, however, will depend on the type of foundation.     

Selective withdrawal from a rotating stratified current with applications to OTEC

The results of a simple theoretical model of axisymmetric withdrawal from a rotating stratified current are presented. A rotating stratified flume was used to test the validity of the theory. Good agreement was found and when the theory is applied to the fluid motion into an OTEC plant, it is found that when the current going by the plant is small, large vortices develop near the inlets. The torques on the plant due to these vortices and the degradation of temperature due to selective withdrawal processes are estimated to be potentially significant.     

Axisymmetric liquid block impact on a solid surface

The hydrodynamic problem of collision of an axisymmetric water block and solid boundary has been analyzed based on the velocity potential theory. The three dimensional axisymmetric hydrodynamic problem is converted to a quasi two dimensional one and is solved in axisymmetric coordinate system using the boundary element method. Numerical simulations are made for collision of a solid cone with a liquid cone or a spheroidal liquid block. The results in the former are compared with those obtained from similarity solution and excellent agreement is found. Numerical results are then presented for the collision between different solid cones and various spheroidal liquid blocks.     

The air–water sloshing problem: Fundamental analysis and parametric studies on excitation and fill levels

The problem of liquid sloshing has gained recent attention with the proliferation of liquefied natural gas (LNG) carriers transporting liquids in partially filled tanks. Impact pressures caused by sloshing depend on the tank fill level, period and amplitude of oscillation of the tank. In this paper, we first present the rudiments of a linear potential theory for sloshing motions in a two-dimensional rectangular tank, due to small amplitude sway motions. Although this topic is fundamental, we clarify inconsistencies in the published literature and texts.Numerical investigations were carried out on the sloshing motions in a two-dimensional tank in the sway excitation. The fluid domain was modeled using a finite volume approximation, and the air–water interface was tracked using a volume-of-fluid (VOF) technique. Computational results for free surface elevation and impact pressure are found to be in good agreement with theory and published data. The fill levels were varied from 10% to 95%, and the excitation time periods were varied from 0.8 to 2.8 s for a constant sway amplitude of 0.25 m (peak–peak) at 1:30 scale. The results of the parametric study are compared with theoretical predictions and suggestions are made on incorporating sloshing effects in standard seakeeping analysis for LNG carriers.     

Convergence criteria for axisymmetric Green's function with application to floating bodies

Convergence criteria are provided for truncating the evanescent eigenmode series in the Green's function for vertical, axisymmetric bodies of revolution. To numerically compute the strength of the source distribution for both the exciting and restoring forces, separate criteria are required for the off-diagonal and for the diagonal elements in the matrix of coefficients for the source strengths. The Black-Fenton algorithms for wave-induced exciting forces on vertical axisymmetric bodies of revolution are extended to include the wave-induced restoring forces. The Gauss-Seidel matrix version method recommended by Fenton is compared with the Gauss elimination method and is found to be non-converging for near deep water wave conditions. Comparison between theory and measured data for the dynamic response of a discus buoy demonstrates the convergence criteria over a range of dimensionless frequencies in relatively deep water wave conditions.     

On hydraulic falls of two-layer flow

Ｏｎｈｙｄｒａｕｌｉｃｆａｌｌｓｏｆｔｗｏ－ｌａｙｅｒｆｌｏｗ￥ＸｕＺｈａｏｔｉｎｇ;ＬｏｕＳｈｕｎｌｉ;ＴｉａｎＪｉｗｅｉａｎｄＳａｍｕｅｌＳｈａｎｐｎＳｈｅｎ（ＩｎｓｔｉｔｕｔｅｏｆＰｈｙｓｉｃａｌＤｅｅａｎｏｐａｐｈｙａｎｄＰｈｙｓｉｃａｌｏｃ...     

波浪作用下液化粉土流动特性拖球试验研究

粉质土大量存在于黄河水下三角洲地区,粉土液化过程中具有类似流体的性质,可以把液化过程中的粉土视为黏性流体进行研究。基于流体力学中Stokes黏滞阻力原理,在波浪水槽试验基础上,设计了一套测量液化过程中粉土流变特性的拖球装置,并对其实用性进行验证。在铺设有粉土底床的波浪水槽中埋入可以水平滑动的小球,通过拖动小球在粉土中水平运动,测量小球所受阻力值的大小,用以计算液化粉土表观动力黏度。充分考虑试验中波浪要素、超孔压比等因素的影响。结果表明,该装置能够满足试验要求;波浪循环荷载作用下,观察到了孔压的累积至液化的过程;波浪参数对结果有较大影响,其中波高越大,表观黏度值越小;同一波高情况下,表观黏度随时间缓慢增加;随着超孔压比的升高,波浪作用下粉土表观黏度值逐渐减小。     

Standing wave pressures due to regular and random waves on a vertical wall

The standing wave pressures due to laboratory-generated regular and random waves exerted on a vertical wall were measured in a wave flume. The standing wave pressures were measured at four relative depths of submergence on the test model. The regular wave test conditions ranged from intermediate to deep water conditions. The measured pressures due to regular waves were compared with results obtained using linear theory and third-order solution. In the case of random wave tests, the dynamic pressures due to the time histories of water surface elevation following the spectral characteristics of Pierson-Moskowitz and Bretschneider spectra were measured. These pressures are compared with simulated pressures obtained through the linear filter technique of Reid. The variation of pressure spectra along the depth are presented. In addition, comparison of spectral parameters, i.e. zeroth moment, spectral width parameter and narrowness parameter of measured and simulated pressure spectra, are reported and discussed. The behaviour of the coherence function between the wave elevation on the wall and the corresponding pressures is also discussed.     

On hydraulic falls of single-layer flow

Ｏｎｈｙｄｒａｕｌｉｃｆａｌｌｓｏｆｓｉｎｇｌｅ－ｌａｙｅｒｆｌｏｗ￥ＸｕＺｈａｏｔｉｎｇ；ＴｉａｎＪｉｗｅｉ；ＬｏｕＳｈｕｎｌｉａｎｄＳａｍｕｅｌＳｈａｎｐｎＳｈｅｎ（ＲｅｃｅｉｖｅｄＭａｒｃｈ２１，１９９５；ａｃｃｅｐｔｅｄＪｕｌｙ１０，１９９５...     

The penetration experiment to predict liquefaction resistance of reclaimed soils

The liquefaction resistance of the soils used to be estimated through the in situ tests, such as standard penetration test and cone penetration test; or by means of cyclic triaxial test in laboratory. However, both in situ tests and cyclic triaxial test are time-consuming and costly; this study introduces a quick and cost-effective method to evaluate the liquefaction resistance of soils under certain confining pressure in laboratory. A particular device modified from the conventional triaxial compression test apparatus, namely “Triaxial Cone Penetration Test”, was developed to obtain the peak values of cone resistance in soils so as to correlate the liquefaction resistance of the reclaimed soils evaluated by cyclic triaxial tests. The test result indicates a good correlation between the peak value of cone resistance and the corresponding cyclic stress ratio (CSR) at the state of initial liquefaction, in which the correlation for loose samples is better than that for dense samples. Besides, both peak values of cone resistance and corresponding CSR increase with fine content of soils reaches 10% and decreased with fine content varying between 10% and 50%. By examining the compositions of the soils with scanning electron microscopy and X-ray diffraction, it is found that the proportion and characteristics of the fines plays an important role on the liquefaction resistance of the reclaimed soils.     

水下爆破动水压力预测及衰减规律研究

本文基于传统的Cole动水压力预测公式,采用量纲分析法建立了考虑多影响因素的动水压力相似准数方程,并在此基础上进行现场监测试验,依据试验数据进行非线性回归运算,得出水下爆破动水压力预测模型公式相关参数。将得到的参数回代入Cole公式和新建模型公式进行预测误差估计和准确度评价分析,二者相对误差范围分别为0.64%～17.11%和0.08%～6.53%,平均相对误差分别为7.31%和3.33%,证明了新建模型公式对动水压力峰值的预测相比传统Cole公式更接近于实际。同时依据修正得到的模型公式对动水压力衰减规律进行分析,结果表明：动水压力峰值随着单段最大药量的增加而增大,随着传播至覆盖层表面振速峰值的增大而增大,随着距爆心水平距离的增大而不断衰减。     

Asymptotic detection performance of discrete power and higher-order spectra estimates

Several detection statistics are compared in the frequency domain based on the asymptotic probability of detection (APD) criterion. They include second-order, fourth-order, normalized fourth-order, and kurtosis estimates. The results show that for randomly occurring signals which can be characterized as non-Gaussian, the fourth-order, normalized fourth-order, and kurtosis estimates can have higher asymptotic probability of detection levels compared with second-order estimates. But only for the normalized fourth-order and kurtosis estimates do the results seem significant. Moreover, if a second-order estimate of the noise is available to normalize a fourth-order estimate of signal and noise, the resultant normalized fourth-order estimate has higher asymptotic probability of detection levels even for Gaussian signals. This result holds only when there is a significant positive covariance between the numerator and the normalizing noise sample in the denominator. On the other hand, if an independent noise sample is used to normalize a second-order or fourth-order estimate, the overall performance based on the asymptotic probability of detection will be degraded compared with the unnormalized second-order or fourth-order estimates, respectively.     

深海能源土含气储层力学特性三轴试验研究

为研究深海能源土在负压开采过程中含气储层的力学特性,基于含气土赋存理论,提出一种能够控制含气量及气泡大小的制样方法,通过GDS标准应力路径三轴试验系统,开展深海能源土含气储层的固结排水试验研究,分析深海能源土在不同黏土含量及不同含气量下的力学响应规律。研究结果表明：围压变化对深海能源土含气储层的抗剪强度峰值大小影响显著,围压越大抗剪强度峰值越高;黏土含量是决定应力应变曲线变化趋势的关键影响因素,黏土含量越高试样抗剪强度越低,试样抵抗应变软化效应的能力越强;含气土比饱和土体承载能力更低,且承载能力随含气量的增大呈衰减趋势;黏土含量和含气量是深海能源土含气储层抗剪强度指标的重要影响因素,黏土含量、含气量越高,土体自身的总抗剪强度值越低。     

Local buckling strength of ring stiffened cylindrical shells under external pressure

The paper presents a non-linear buckling analysis of ring stiffened cylindrical shells subject to external pressure. The collapse pressure is calculated by assuming failure to occur when the material reaches a plastic stress state defined by the Ilyushin criterion. It is shown in the paper that use of the non-linear theory can reduce the estimated first yield by up to 25% in comparison to the linear buckling analysis used up to now. Comparison of predicted failure loads are in good agreement with the lower bound of test results.     

海底管道维修管卡密封结构的性能分析及测试

密封压力是带压堵漏维修管卡的关键性能。介绍了323.9 mm(API 12英寸)维修管卡样机的总体结构及密封原理,选用接触压力准则作为管卡的密封评价准则,利用ANSYS Workbench软件建立了管卡密封结构的二维轴对称有限元模型,分析了密封结构闭环中薄弱部分在不同密封圈压缩量下的接触压力,然后试验测试了管卡样机密封圈压缩量和密封压力,并与有限元计算接触压力进行了对比。分析结果表明管卡密封结构最薄弱部分的接触压力随着周向密封圈压缩量的增大而增大,且主要是中间接触部分起到密封作用。通过试验验证了理论分析的管卡密封结构最薄弱位置,并发现相同密封圈压缩量下试验测试的密封压力与计算的接触压力近似,两者的变化趋势基本一致。有关分析思路和试验方法可以为管卡密封结构的设计提供重要参考。     

Boundary element analysis of liquid sloshing characteristics in axisymmetric tanks with various porous baffles

This paper aims to investigate the effects of the porous baffles on the suppression of sloshing for the tanks with axisymmetric geometries under lateral excitation. Based on the assumptions of inviscid, irrotational, incompressible liquid and small amplitude sloshing, an axisymmetric boundary element method (BEM) for 3D Laplace equation is derived by using the Green's theorem together with the weighted residual method. And a zoning method is employed to model fluid domain in the tanks with complex porous baffles. Meanwhile, the porous baffles are treated motioning together with the tanks, and the velocity across the porous baffle is assumed to be linearly proportional to the pressure gradient between each side of the porous baffle. And the mechanism of suppressing the sloshing response is mainly the energy dissipation of the fluid passing through the porous baffle. Moreover, the linear free surface boundary conditions are also used to solve the governing equations. Compared with other numerical methods, the most prominent advantage of the BEM in solving axisymmetric potential problem is that only the boundaries of half the cross-section instead of the entire problem domain should be discretized, which can cut down large amount of memory and time costs. The present method is verified by comparing the numerical results with the existing literatures, and excellent agreements are obtained. Meanwhile, the proposed models are applied to investigate the effects of the porous baffles on sloshing response in circular cylindrical, annular cylindrical and conical tanks. The effects of the porous baffle length, porous-effect parameter, installation angle and baffle height on the sloshing force, natural frequency and surface elevation are studied. Additionally, some typical sloshing pressure distributions, velocity potential contours and velocity fields are plotted. The results show that swirls at the tips of the baffles can be observed in many cases, and the top-mounted porous baffle makes more significant suppression effects on sloshing response than that of bottom-mounted porous baffle, while increasing the number of ring porous baffles can achieve better restraint effects on sloshing response. And increasing the baffle length of the horizontal wall-mounted ring porous baffle can significantly decrease the sloshing frequencies, as well as the first non-dimensional natural frequency decreases with decrease in porous-effect parameter of the coaxial porous baffle. In addition, remarkable effects on sloshing can be obtained when reasonable designed by selecting the optimal porous-effect parameter, installation angle and baffle height. And this paper can be a useful guide for the seismic design and analysis of many actual liquid storage tanks (such as the Advanced Passive PWR, large water cooling tower, etc.).     

Investigation on the Cavitation Effect of Underwater Shock near Different Boundaries

When the shock wave of underwater explosion propagates to the surfaces of different boundaries, it gets reflected. Then, a negative pressure area is formed by the superposition of the incident wave and reflected wave. Cavitation occurs when the value of the negative pressure falls below the vapor pressure of water. An improved numerical model based on the spectral element method is applied to investigate the cavitation effect of underwater shock near different boundaries, mainly including the feature of cavitation effect near different boundaries and the influence of different parameters on cavitation effect. In the implementation of the improved numerical model, the bilinear equation of state is used to deal with the fluid field subjected to cavitation, and the field separation technique is employed to avoid the distortion of incident wave propagating through the mesh and the second-order doubly asymptotic approximation is applied to simulate the non-reflecting boundary. The main results are as follows. As the peak pressure and decay constant of shock wave increases, the range of cavitation domain increases, and the duration of cavitation increases. As the depth of water increases, the influence of cavitation on the dynamic response of spherical shell decreases.     

Hydrodynamic coefficients of a two-dimensional,truncated rectangular floating structure in shallow water

The paper seeks to examine hydrodynamic coefficients of a rectangular structure in shallow water and to establish analytical formulae for fast computations. A two-dimensional rectangular profile is considered with the under-bottom clearance assumed to be small compared with structure dimensions and the water depth. Following the method of matched asymptotic expansions, the radiation problem is solved under assumptions of the linear wave theory, by matching two ‘outer’ flows with the ‘inner’ flow near the structure edge. Closed asymptotic formulae are obtained for all hydrodynamic coefficients for heave, sway and roll motions. The zero and infinite frequency values of the added mass are examined and formulae are derived intended for quick engineering estimations. Numerical results compare well with those published in literature, and the approach is shown to be consistent with known fundamental relations in the body–wave interaction theory.     

The buckling of a corrugated carbon fibre cylinder under external hydrostatic pressure

A theoretical and an experimental investigation was carried out, where a carbon fibre corrugated circular cylinder was tested to destuction under external hydrostatic pressure. The theoretical investigation was via the finite element method, where the structure was modelled with several orthotropic axisymmetric thin-walled shell elements. The experimental observations were aided with strategically placed strain gauges. Comparison between theory and experiment showed that the experimentally observed buckling pressure was a little lower than the theoretical prediction. This may have been due to the fact that the model had slight initial geometrical imperfections in the circumferenential direction.