A computational study of shock speeds in high-performance shock tubes

Petrie-Repar, Paul; Jacobs, Peter A.

doi:10.1007/s001930050101

Cited by 28 publications

(11 citation statements)

References 19 publications

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“…Despite the large initial deformation and the irregular petalling process, the envisaged diaphragm opening from the centre has been observed and the final opened section is approximately circular (figure 1). This suggests a shock evolution similar to that described by Hickman et al (1975) and Petrie-Repar & Jacobs (1998), who reported the formation of a normal shock front sufficiently far from the diaphragm. However, the diaphragm is found to open incompletely, with an opened diameter d smaller than 60 mm, namely, 75% of the internal tube diameter.…”

Section: Experimental Set-upsupporting

confidence: 84%

“…Rothkopf & Low 1974;Hickman, Farrar & Kyser 1975). For example, the finite diaphragm opening time has long since been demonstrated to locally accelerate the shock wave to speeds higher than those predicted by the one-dimensional theory, in the case of the very strong shocks studied by White (1958), Alpher & White (1958) and Petrie-Repar & Jacobs (1998). Non-ideal behaviour in shock tubes, including the influence of the viscous boundary layer on the shock propagation (see Mirels 1963;Mirels & Mullen 1964) and high-temperature chemical effects (see e.g.…”

Section: Introductionmentioning

confidence: 99%

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Shock tube flows past partially opened diaphragms

2008

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Unsteady compressible flows resulting from the incomplete burst of the shock tube diaphragm are investigated both experimentally and numerically for different initial pressure ratios and opening diameters. The intensity of the shock wave is found to be lower than that corresponding to a complete opening. A heuristic relation is proposed to compute the shock strength as a function of the relative area of the open portion of the diaphragm. Strong pressure oscillations past the shock front are also observed. These multi-dimensional disturbances are generated when the initially normal shock wave diffracts from the diaphragm edges and reflects on the shock tube walls, resulting in a complex unsteady flow field behind the leading shock wave. The limiting local frequency of the pressure oscillations is found to be very close to the ratio of acoustic wave speed in the perturbed region to the shock tube diameter. The power associated with these pressure oscillations decreases with increasing distance from the diaphragm since the diffracted and reflected shocks partially coalesce into a single normal shock front. A simple analytical model is devised to explain the reduction of the local frequency of the disturbances as the distance from the leading shock increases.

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Section: Experimental Set-upsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Shock tube flows past partially opened diaphragms

2008

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“…Two-or three-dimensional modelling potentially provides detailed information on important flow processes which cannot be accurately captured using one-dimensional simulations (eg, [Petrie-Repar and Jacobs (1998)], and [Chang and Kim (1995)]). However, one-dimensional simulations are far less expensive and are sufficient in many situations depending on type of effects that need to be modelled.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Oxford University Gun Tunnel performance using a quasi-one-dimensional model

2002

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The performance of the Oxford University Gun Tunnel has been estimated using a quasi-onedimensional simulation of the facility gas dynamics. The modelling of the actual facility area variations so as to adequately simulate both shock reflection and flow discharge processes has been considered in some detail. Test gas stagnation pressure and temperature histories are compared with experimental measurements at two different operating conditions -one with nitrogen and the other with carbon dioxide as the test gas. It is demonstrated that both the simulated pressures and temperatures are typically within 3% of the experimental measurements.

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“…The imperfect burst of a shock-tube diaphragm may introduce non-negligible multidimensional perturbations in the flowfield that can significant differ from the ideally one-dimensional shock-tube problem, under both qualitative and quantitative point of view [39][40][41][42][43]. To investigate the suitability of the proposed solution technique in the computations of this kind of flows, the results presented in [43], referring to an axisymmetric partial burst of the diaphragm in an existing shock-tube facility, are now compared to numerical simulations.…”

Section: Unsteady Shock-tube Flowsmentioning

confidence: 99%