Simulation of converging cylindrical GPa-range shock waves generated by wire array underwater electrical explosions

Results of one-dimensional numerical simulations of the parameters of the converging strong shock wave generated by electrical underwater explosions of a cylindrical wire array with different array radii and different deposited energies are presented. It was shown that for each wire array radius there exists an optimal duration of the energy deposition into the exploding array, which allows one to maximize the shock wave pressure and temperature in the vicinity of the implosion axis. The simulation results agree well with the 130-GPa pressure in the vicinity of the implosion axis that was recently obtained, which strongly indicates the azimuthal symmetry of the converging shock wave at these extreme conditions. Also, simulations showed that using a pulsed power generator with a stored energy of ~200 kJ, the pressure and temperature at the shock wave front reaches ~220 GPa and 1.7 eV at 0.1 mm from the axis of implosion in the case of a 2.5 mm radius wire array explosion. It was found that, in spite of the complicated equation of state of water, the maximum pressure at the shock wave front at radius r can be estimated as P ≈ (P*(r*/r) ^α , where P* is the known value of pressure at the shock wave front at radius r* ≥ r and α is a parameter that equals 0.62±0.02. A rough estimate of the implosion parameters of the hydrogen target after the interaction with the converging strong shock wave is presented as well.     

Cylindrical shock waves generated by a spark discharge and their interaction with the shock waves from a pulsed induction discharge

An experimental investigation of a spark discharge in argon is described. The existence of a shock wave and a following thermal wave is demonstrated. The experimental law of propagation of the thermal wave front is obtained. The effect of the discharge parameters on the dynamics of both waves is studied. The interaction between the cylindrical shock waves generated by a pulsed induction discharge and the shock waves formed in a spark discharge is considered. Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 166–170, January–February, 1994.     

Focusing shock waves generated by an accelerating projectile

Unsteady flow fields past a projectile either in parabolic motion or in accelerated motion are investigated numerically, with special attention to shock wave focusing phenomena induced by the motions. The two-dimensional Euler equations are solved by a moving-cell, MUSCL TVD finite-volume method with Steger-Warming flux-vector splitting. The pattern of shock wave focusing induced by the projectile is found to be similar to that of shock waves reflected from a concave wall observed in a laboratory experiment using a shock tube. Effects of projectile shapes and trajectories on focusing are also examined.     

Large-scale edge waves generated by a moving atmospheric pressure

Long waves generated by a moving atmospheric pressure distribution, associated with a storm, in coastal region are investigated numerically. For simplicity the moving atmospheric pressure is assumed to be moving only in the alongshore direction and the beach slope is assumed to be a constant in the on-offshore direction. By solving the linear shallow water equations we obtain numerical solutions for a wide range of physical parameters, including storm size (2a), storm speed (U), and beach slope (α). Based on the numerical results, it is determined that edge wave packets are generated if the storm speed is equal to or greater than the critical velocity, U_cr, which is defined as the phase speed of the fundamental edge wave mode whose wavelength is scaled by the width of the storm size. The length and the location of the positively moving edge wave packet is roughly Ut/2 ≤ y ≤ Ut, where y is in the alongshore direction and t is the time. Once the edge wave packet is generated, the wavelength is the same as that of the fundamental edge wave mode corresponding to the storm speed and is independent of the storm size, which can, however, affect the wave amplitude. When the storm speed is less than the critical velocity, the primary surface signature is a depression directly correlated to the atmospheric pressure distribution.     

水下爆炸中气泡射流壁压特性实验研究

水下爆炸气泡射流载荷是中近场水下爆炸壁压载荷的重要组成部分, 将水下爆炸气泡射流简化为一段高速水柱来研究水下爆炸气泡射流载荷特性是研究水下爆炸气泡射流载荷的主要手段。本文基于腔内爆炸提出了一种新的高速水射流实验方法,并给出了实验装置设计、实验方法以及实验系统。基于实验系统,开展了不同工况下高速水射流的实验研究,研究了腔口位置、腔深对水射流形态的影响,并对水射流的形态形成因素进行了分析。使用压电型壁压传感器测得了水射流冲击壁压,给出了水射流冲击壁压的特性及其特点。实验结果表明：腔口位置与腔深是影响水射流端面形态的重要因素;生成的高速水射流冲击壁压峰值满足水锤理论。基于腔内爆炸的高速水射流实验方法能够应用于包括水下爆炸气泡射流在内的高速水射流形态、壁压特性的研究。

     

Hysteresis phenomenon at interaction of shock waves generated by a cylinder array

This paper describes investigations of the interaction between bow shock waves generated by cylindrical bodies in a supersonic flow. Numerical simulations are performed using the inviscid Euler equations for cylinders whose axes are parallel to each other and normal to the flow direction. Mostly an infinite periodical cylinder array is considered, but the case of two cylinders is also briefly discussed. Three different regimes of the shock wave interaction, a regular interaction, a Mach interaction, and a choked flow, have been observed for the flow through the periodical cylinder array. In the case of the flow around two bodies, the choked flow is replaced by a regime with a collective bow shock. The transition between different flow regimes is studied by varying the inflow Mach number or the distance between the cylinders. A hysteretic behavior at the transition between the regular and Mach interactions has been observed. The transition is governed by the theoretical detachment and von Neumann criteria based on the local shock wave inclination at the interaction point.     

水下爆破冲击波作用下典型鱼类临界安全波压模型研究

为了探究水下爆破冲击波对鱼类损伤的影响,首先通过理论分析探讨了水下冲击波在鱼体的传播过程和对鱼鳔的损伤机理,构建了典型有鳔鱼类临界安全波压模型,并结合实测数据、参考相关文献,确定了模型参数。结果表明,典型有鳔鱼类临界安全波压与鱼体长呈线性关系。其中,水介质和鱼鳔壁介质的波阻抗比、鱼鳔宽度因数、鱼鳔壁厚因数、鱼鳔径向临界拉应力因数和鱼鳔形状因数分别为0.3～2.0、0.04～0.09、0.002、60和0.6～1.1。然后,根据典型有鳔鱼类临界安全波压模型参数,得到最大和最小鱼类临界安全波压模型分别为p_ic,max=30L和p_ic,min=3L(p_ic,max的单位为kPa,L的单位为cm)。最后,通过鱼类损伤情况的实测数据和文献数据,验证了鱼类临界安全波压模型。结果表明,不同体长的鱼类在不同冲击波压力时的受损状况分布,基本与鱼类所能承受的最大和最小的临界安全波压范围符合。并根据鱼类临界安全波压与体长的关系,划分了死亡区、存活有影响区和存活无影响区。     

Response of ocean bottom dwellers exposed to underwater shock waves

The paper reports results of experiments to estimate the mortality of ocean bottom dwellers, ostracoda, against underwater shock wave exposures. This study is motivated to verify the possible survival of ocean bottom dwellers, foraminifera, from the devastating underwater shock waves induced mass extinction of marine creatures which took place at giant asteroid impact events. Ocean bottom dwellers under study were ostracoda, the replacement of foraminifera, we readily sampled from ocean bottoms. An analogue experiment was performed on a laboratory scale to estimate the domain and boundary of over-pressures at which marine creatures’ mortality occurs. Ostracods were exposed to underwater shock waves generated by the explosion of 100mg PETN pellets in a chamber at shock over-pressures ranging up to 44MPa. Pressure histories were measured simultaneously on 113 samples. We found that bottom dwellers were distinctively killed against overpressures of 12MPa and this value is much higher than the usual shock over-pressure threshold value for marine-creatures having lungs and balloons.     

Investigations involving shock waves generation and shock pressure measurement in direct ablation regime and confined ablation regime

Recent investigations involving shock waves generation and shock pressure measurement in direct ablation regime and confined ablation regime for aluminium, copper, titanium and steel (40C130) materials are reported. Experimental measurements demonstrated that in direct ablation regime the peak pressures typically are less than 10 Pa when the incident laser intensity is about 10 W/cm and the time duration of the applied pressure is roughly equal to the laser pulse duration. It is shown that confinement of the surface with a transparent overlayer provided an effective method of enhancing laser-induced shock waves pressure in the target material with an order of magnitude for same laser intensity. Also, in this second regime, the pressure is applied over a period much longer than the laser-pulse duration. As an application measurements of the hardness of target surface before and after laser irradiation in direct ablation regime and confined ablation regime are given, and it is shown that the maximum value of surface hardness is obtained in confined ablation regime. Received 10 March 2001 / Accepted 13 April 2001     

Evaluation of the height of waves generated by an underwater landslide in a confined water reservoir

An equation was obtained for the motion of an underwater landslide over an uneven bottom slope under the action of gravity, buoyancy, friction, and water drag. Numerical modeling of the surface waves generated by landslide motion over an uneven bottom was performed using the nonlinear shallow water model. The effect of the landslide size, the friction coefficient, and other parameters on the maximum runup of landslide-generated waves on the shore with a parabolic shape of the bottom was studied.     

Transient waves generated by a moving oscillatory pressure on a sloping beach

A uniform asymptotic analysis of the unsteady wave motion generated by a moving oscillatory pressure distribution on a sloping beach of slope angle /4 is given. Our method of investigation gives important information regarding the nature, number and distribution of the resulting wave pattern. The effect of the sloping beach on the waves is exhibited.     

Slot diffraction of waves generated by an underwater explosion on the axis of a circular cylindrical shell

The problem of diffraction of a cylindrical shock wave generated by an electrical explosion in water on a longitudinal slot in a cylindrical rigid shell is considered. The numerical method of discontinuity breakdown is modified in relation to the polar coordinates used, which simplifies significantly the technical aspect of the solution. In the calculations pressure fields with diffraction maxima and minima are obtained and the evolution of the minima into ruptures is traced.Donetsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 3–8, November–December, 1996.