共查询到20条相似文献,搜索用时 0 毫秒
1.
2.
The scattering problem involving water waves by small undulation on the porous ocean-bed in a two-layer fluid,is investigated within the framework of the two-dimensional linear water wave theory where the upper layer is covered by a thin uniform sheet of ice modeled as a thin elastic plate.In such a two-layer fluid there exist waves with two different modes,one with a lower wave number propagate along the ice-cover whilst those with a higher wave number propagate along the interface.An incident wave of a particular wave number gets reflected and transmitted over the bottom undulation into waves of both modes.Perturbation analysis in conjunction with the Fourier transform technique is used to derive the first-order corrections of reflection and transmission coefficients for both the modes due to incident waves of two different modes.One special type of bottom topography is considered as an example to evaluate the related coefficients in detail.These coefficients are depicted in graphical forms to demonstrate the transformation of wave energy between the two modes and also to illustrate the effects of the ice sheet and the porosity of the undulating bed. 相似文献
3.
Smrutiranjan Mohapatra 《船舶与海洋工程学报》2014,13(3):255-264
Obliquely incident water wave scattering by an uneven channel-bed in the form of a small bottom undulation in a two-layer fluid is investigated within the frame work of three-dimensional linear water wave theory. The upper fluid is assumed to be bounded above by a rigid lid, while the lower one is bounded below by a bottom surface having a small deformation and the channel is unbounded in the horizontal directions. Assuming irrotational motion, perturbation technique is employed to calculate the first-order corrections to the velocity potentials in the two fluids by using Fourier transform approximately, and also to calculate the reflection and transmission coefficients in terms of integrals involving the shape function representing the bottom deformation. Consideration of a patch of sinusoidal ripples shows that the reflection coefficient is an oscillatory function of the ratio of twice the component of the wave number along x-axis and the ripple wave number. When this ratio approaches one, the theory predicts a resonant interaction between the bed and interface, and the reflection coefficient becomes a multiple of the number of ripples. High reflection of incident wave energy occurs if this number is large. 相似文献
4.
The problem of oblique wave(internal wave) propagation over a small deformation in a channel flow consisting of two layers was considered.The upper fluid was assumed to be bounded above by a rigid lid,which is an approximation for the free surface,and the lower one was bounded below by an impermeable bottom surface having a small deformation;the channel was unbounded in the horizontal directions.Assuming irrotational motion,the perturbation technique was employed to calculate the first-order corrections of the velocity potential in the two fluids by using Green’s integral theorem suitably with the introduction of appropriate Green’s functions.Those functions help in calculating the reflection and transmission coefficients in terms of integrals involving the shape function representing the bottom deformation.Three-dimensional linear water wave theory was utilized for formulating the relevant boundary value problem.Two special examples of bottom deformation were considered to validate the results.Consideration of a patch of sinusoidal ripples(having the same wave number) shows that the reflection coefficient is an oscillatory function of the ratio of twice the x-component of the wave number to the ripple wave number.When this ratio approaches one,the theory predicts a resonant interaction between the bed and the interface,and the reflection coefficient becomes a multiple of the number of ripples.High reflection of incident wave energy occurs if this number is large.Similar results were observed for a patch of sinusoidal ripples having different wave numbers.It was also observed that for small angles of incidence,the reflected energy is greater compared to other angles of incidence up to.These theoretical observations are supported by graphical results. 相似文献
5.
Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 1. Radiation problem 总被引:4,自引:0,他引:4
A linearized 2-D radiation problem was considered for a general floating body in a two-layer fluid of finite depth. A boundary integral-equation method was developed for directly computing the velocity potential on the wetted surface of a body which is immersed in both the upper and lower layers as a general case. To do this, appropriate time-harmonic Greens functions were derived, and an efficient numerical method of evaluating those functions is proposed. Based on Greens theorem, hydrodynamic relations such as the energy-conservation principle were derived theoretically for a case of finite depth, and we confirm that those relations are satisfied numerically with very good accuracy. Experiments were also carried out using water and isoparaffin oil as the two fluids and a Lewis-form body. Measured results for the added mass, the damping coefficient, and the amplitude of the generated waves are compared with the computed results, and a favorable agreement is found. 相似文献
6.
Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 2. Diffraction problem and wave-induced motions 总被引:1,自引:0,他引:1
Masashi Kashiwagi Igor Ten Makoto Yasunaga 《Journal of Marine Science and Technology》2006,11(3):150-164
A linearized two-dimensional diffraction problem in a two-layer fluid of finite depth was solved for a general floating body
and relevant wave-induced motions were studied. In a two-layer fluid, for a prescribed frequency, incident waves propagate
with two different wave modes. Thus the wave-exciting forces and resulting motions must be computed separately for each mode
of the incident wave. The boundary integral equation method developed by the authors in the Part-1 article was applied to
directly obtain the diffraction potential (pressure) on the body surface. With the computed results, an investigation was
carried out on the effects of the fluid density ratio and the interface position on the wave-exciting forces on the body and
the motions of the body, including the case in which the body intersects the interface. By a systematic derivation using Green's
theorem, all the possible reciprocity relations were derived theoretically in explicit forms for a system of finite depth;
these relations were confirmed to be satisfied numerically with very good accuracy. Experiments were also carried out using
water and isoparaffin oil as the two fluids and a Lewis-form body. Measured results for the sway- and heave-exciting forces
and the heave motion were compared with the computed results, and a favorable agreement was found. 相似文献
7.
Cheng-Yuan Chen 《Journal of Marine Science and Technology》2009,14(4):499-512
Experiments were carried out in a wave flume to examine the propagation of depression-type internal solitary waves (ISWs)
over a submerged triangular-shaped obstacle. We observed the distortion and breaking of the ISW depression in a two-layer
stratified fluid system as induced by the obstacle on the bottom. Physical factors, such as the amplitude of the wave, the
thickness of the two layers, and the height of the submerged obstacle were utilized in our analysis of the wave–obstacle interaction.
Wave breaking was determined in relation to input parameters arranged before the experimental runs. A classification scheme
based on the blockage parameter ζ was proposed. The various degrees of ISW-obstacle interaction were visually classified with three schematic forms (ζ < 0.55 for a weak encounter; 0.55 < ζ < 0.7 for a moderate encounter; and 0.7 < ζ for wave breaking). Furthermore, the reflection and transmission coefficients were utilized to explore the resultant influence
on changes in amplitude and energy of an ISW. The wave characteristics (e.g., amplitude-based wave reflection, energy-based
reflection, amplitude-based transmission, and energy-based transmission) during the wave–obstacle interaction showed an approximately
linear relation with the blockage parameter. Influenced by the submarine obstacle, the transmitted waves were found to always
consist of a leading pulse (solitary wave) followed by a dispersive wave train. Moreover, due to bottom friction the energy
budget of the leading pulse was reduced by a factor of at least 5% which could approach 50% in cases with strong breaking. 相似文献
8.
Hydrodynamic load and motion response are the first considerations in the structural design of a submerged floating tunnel (SFT). Currently, most of the relevant studies have been based on a two-dimensional model test with a fixed or fully free boundary condition, which inhibits a deep investigation of the hydrodynamic characteristics with an elastic constraint. As a result, a series of difficulties exist in the structural design and analysis of an SFT. In this study, an SFT model with a one-degree-of-freedom vertical elastically truncated boundary condition was established to investigate the motion response and hydrodynamic characteristics of the tube under the wave action. The effect of several typical hydrodynamic parameters, such as the buoyancy-weight ratio, γ, the relative frequency, f/fN, the Keulegan–Carpenter (KC) number, the reduced velocity, Ur, the Reynolds number, Re, and the generalized Ursells number, on the motion characteristics of the tube, were selectively analyzed, and the reverse feedback mechanism from the tube's motion response to the hydrodynamic loads was confirmed. Finally, the critical hydrodynamic parameters corresponding to the maximum motion response at different values of γ were obtained, and a formula for calculating the hydrodynamic load parameters of the SFT in the motion state was established. The main conclusions of this study are as follows: (i) Under the wave action, the motion of the SFT shows an apparent nonlinearity, which is mainly caused by the intensive interaction between the tube and its surrounding water particles, as well as the nonlinearity of the wave. (ii) The relative displacement of the tube first increases and then decreases with increasing values of f/fN, Ur, KC number, Re, and the generalized Ursells number. (iii) γ is inversely proportional to the maximum relative displacement of the tube and the wave force on the tube in its motion direction. (iv) Under the motion boundary condition (as opposed to the fixed boundary condition), the peak frequency of the wave force on the SFT in its motion direction decreases and approaches the natural vibration frequency of the tube, whereas the wave force perpendicular to the motion direction increases. When the incident wave frequency is close to the natural vibration frequency of the tube, the tube resonates easily, leading to an increased wave force in the motion direction. (v) If the velocity in the Morison equation is substituted by the water particle velocity measured when the tube is at its equilibrium position, the inertia coefficient in the motion direction of the tube is linearly related to its displacement, whereas that in the direction perpendicular to the motion direction is logarithmically related to its displacement. 相似文献
9.
10.
11.
Statistical and dynamical analyses of propagation mechanisms of solitary internal waves in a two-layer stratification 总被引:2,自引:0,他引:2
Chen-Yuan Chen 《Journal of Marine Science and Technology》2011,16(1):100-114
The blocking effect of submarine ridges on the propagation of internal solitary waves (ISWs) over the topography of the seabed
results in the fission of the solitary waves that accompany the generation of reflected and transmitted waves. In this study,
multivariate analysis of variance (MANOVA) is used to investigate the inseparable relationship between the transmission and
reflection. An examination of the error sums of squares and cross-products (SSCP) matrix and the correction matrix shows that
the correlation between the transmission (at/ai) and reflection coefficients (ar/ai) is quite low (0.284). Moreover, from
multivariate testing, including Pillai’s trace, Wilks’ lambda, Hotelling’s trace and Roy’s largest root, we conclude that
the ridge height has a large effect (η = 0.456) on both the amplitude of the transmitted and reflected waves, as well as large (η = 0.411) and very large (η = 0.469) effects on the amplitudes of the transmitted and reflected waves, respectively. In conclusion, the results in the
present study highlight the importance of the role played by ridge height in coherent ISW transmission and reflection during
oceanic wave–ridge interactions. 相似文献
12.
线性连续分层流体中水波与截断圆柱浮体的相互作用 总被引:1,自引:0,他引:1
研究了在线性连续分层流体中水波与截断圆柱浮体相互作用的问题.在Boussinesq近似下,基于分离变量法,表明了对给定的频率,当它大于浮力频率时,流场中只有一种模态的平面前进波,当它小于浮力频率时,流场中有无数多个模态的平面前进波.基于特征函数匹配理论,建立了作用在截断圆柱浮体上水动力的计算方法.对作用在截断圆柱浮体上的水平波浪力、垂向波浪力和力矩进行了数值计算分析,表明了在某个频率范围内,流体的线性连续分层效应对这些水动力量的影响是不可忽视的.特别地,在入射波频率小于浮力频率时,高阶模态入射波对截断圆柱浮体水动力的影响也是重要的,在海洋工程的实践中应予以特别关注. 相似文献
13.
A hybrid boundary element method is suggested to solve the problem of the interaction of floating structures with both waves
and slow current. A pulsating source and its mirror image referring to the sea bottom are adopted as the Green's function.
The velocity potentials are expanded into an eigenfunction expansion in the outer region of the fluid domain while higher
order elements are used to discretize the boundary surface surrounding the inner region. The method is validated by comparing
calculated results for a circular cylinder with the semi-analytical solutions. The method is then applied to ellipsoids of
various breadth and draft to investigate the influence of body shape on the wave drift damping. 相似文献
14.
A combined observational-modeling study was conducted to investigate turbulence mixing, and the relation to surface forcing, in the surface boundary layer (SBL) of a tropical, high-altitude, freshwater reservoir. A suite of vertical profiles of temperature microstructure, collected at three different stations of one-day duration each, provided estimates of dissipation rates of turbulence kinetic energy, , and temperature variance, χ. Numerical simulations of and χ, using state-of-the-art, public domain, two-equation turbulence closure models, compared favorably with the observations and reproduced the dynamics of daytime wind mixing as well as the vertical and temporal turbulence structure during nighttime convective conditions.Two independent estimates of vertical eddy diffusivities in the stably stratified (daytime) SBL, computed from the microstructure measurements, agreed closely, and the near surface heat and buoyancy fluxes, computed from the diffusivities, were similar to those computed independently from surface meteorology. Model generated eddy diffusivities agreed closely with the observed values, except those generated by K profile parameterization (KPP) model simulations. The good agreement provides confidence that nutrient fluxes in the SBL may be accurately computed from the models when forced with regularly measured surface meteorological parameters. The consequences are important for estimation of daily primary productivity rates in the euphotic zone and the ability to predict algal blooms such as those observed in the present reservoir. 相似文献
15.
16.
17.
采用求解RANS方程和基于VOF方法的非定常粘性数值方法并结合湍流模型对球体在两层流体中水下运动时的尾迹特征进行了针对性的研究,成功模拟出球体在水下运动产生的表面波和内波,与理论分析及其文献研究计算结果进行对照,取得了较为一致的结果,为进一步使用粘性CFD方法系统研究分层流体中潜体运动尾迹的生成机理、传播特性等问题打下了坚实的基础. 相似文献
18.
在壳厚方向采用位移和应力插值函数,应用混合分层理论和壳体在流场中所受的流体动压力.推导带有消声瓦的潜艇耐压壳在流场中的动力学方程.采用迭代的方法求出潜艇耐压壳在流场中阻尼振动的解.在不同粘弹性材料弹性模量和厚度下.分别计算了潜艇耐压壳在流场中阻尼振动的一阶固有频率、结构损耗因子和层间横向应力的幅值.结果表明,随粘弹性材料弹性模量的增大,一阶固有频率和结构损耗因子增加,随粘弹性材料层厚度的增大,结构损耗因子增加.一阶固有频率减小.较高的层间法向正应力是造成潜艇消声瓦在流场中低频振动脱落的主要原因.采用较高模量和厚度的牯弹性阻尼材料将有效地降低潜艇耐压壳在流场中阻尼振动的层间应力的幅值. 相似文献
19.
安哥拉某堆场的建设,遇到地质变化引起软基处理方案变更、施工初期人员设备投入不足导致施工工序不紧凑、当地开山料的选择余地大、设计标准调整等特殊情况.在解决这些问题的过程中,提出现场问题的处理原则、合理选择设计指标、确定检验验收标准的优先顺序、设计服务等问题,供类似项目参考. 相似文献
20.
通过分析超声波防垢机理,介绍了超声波防垢技术在国内外的应用情况和效果,有效地证实了超声波在循环冷却水系统中的防垢、除垢效果。并探讨了该技术在舰船锅炉装置、热交换系统中推广超声波防垢技术的可行性和前景。 相似文献