Investigation of shock wave focusing in water in a logarithmic spiral duct, Part 1: Weak coupling

Wang, Chuanxi; Qiu, Shi; Eliasson, Veronica

doi:10.1016/j.oceaneng.2014.09.012

Cited by 9 publications

(3 citation statements)

References 62 publications

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“…These comparisons further confirm that the proposed FVS formula and developed program is suitable for the simulation of weakly compressible water flow. We also compared the topological shape of the reflected shock wave with the existing experimental data [27,28], as shown in Figures 6 and 7. We found that the present simulation results based on the FVS-WENO method are consistent with the experimental observations.…”

Section: Validation Of Pulse Hydraulic Fracturingmentioning

confidence: 99%

Flux Vector Splitting Method of Weakly Compressible Water Navier-Stokes Equation and Its Application

Li,

Huang

2023

Water

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Water is a weakly compressible fluid medium. Due to its low compressibility, it is usually assumed that water is an incompressible fluid. However, if there are high-pressure pulse waves in water, the compressibility of the water medium needs to be considered. Typical engineering applications include water hammer protection and pulse fracturing, both of which involve the problem of discontinuous pulse waves. Traditional calculation and simulation often use first-order or second-order precision finite difference methods, such as the MacCormark method. However, these methods have serious numerical dissipation or numerical dispersion, which hinders the accurate evaluation of the pulse peak pressure. In view of this, starting from the weakly compressible Navier–Stokes (N-S) equation, this paper establishes the control equations in the form of flux, derives the expressions of eigenvalues, eigenvectors, and flux vectors, and gives a new flux vector splitting (FVS) formula by considering the water equation of state. On this basis, the above flux vector formula is solved using the fifth-order weighted essentially non-oscillatory (WENO) method. Finally, the proposed FVS formula is verified by combining the typical engineering examples of water hammer and pulse fracturing. Compared with the traditional methods, it is proved that the FVS formula proposed in this paper is reliable and robust. As far as we know, the original work in this paper extends the flux vector splitting method commonly used in aerodynamics to hydrodynamics, and the developed model equation and method are expected to play a positive role in the simulation field of water hammer protection, pulse fracturing, and underwater explosion.

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Section: Validation Of Pulse Hydraulic Fracturingmentioning

confidence: 99%

Flux Vector Splitting Method of Weakly Compressible Water Navier-Stokes Equation and Its Application

Li,

Huang

2023

Water

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“…#10 The shapes of the various foam geometries include a logarithmic spiral curve; see Figure 6. This particular shape was chosen for its previously shown ability to focus a planar incident shock wave towards its focal point using air, as well as water as the shock propagation medium [34][35][36][37][38]. The logarithmic spiral curve is given by:…”

Section: Time (Ms)mentioning

confidence: 99%

Shock Wave Attenuation Using Foam Obstacles: Does Geometry Matter?

et al. 2015

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A shock wave impact study on open and closed cell foam obstacles was completed to assess attenuation effects with respect to different front face geometries of the foam obstacles. Five different types of geometries were investigated, while keeping the mass of the foam obstacle constant. The front face, i.e., the side where the incident shock wave impacts, were cut in geometries with one, two, three or four convergent shapes, and the results were compared to a foam block with a flat front face. Results were obtained by pressure sensors located upstream and downstream of the foam obstacle, in addition to high-speed schlieren photography. Results from the experiments show no significant difference between the five geometries, nor the two types of foam.

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“…Recently, a series of chemical modications have been reported to enhance the performance of soy protein adhesives, such as soy protein structural and crosslinking agent modications. 5 Specically, epoxy and melamine resin, polyisocyanate, polyamidoamine-epichlorohydrin (PAE) resin, phenol formaldehyde resin, trimethylolpropane triglycidyl ether (THPTG), and bisphenol-A waterborne epoxy resin and polyacrylamide (PAM), [6][7][8][9][10][11] were applied to enhance the water resistance of soy protein adhesive due to the crosslinked network structure formed by the reactions with the hydrophilic groups (i.e., -NH 2 , -COOH, and -OH) in soy protein molecules. The resulting adhesives meet the interior use requirements but still rely on unrenewable petroleum-based resources.…”

Section: Introductionmentioning

confidence: 99%