Correlations of shock Mach number attenuation in small size diameter tubes

Zeitoun, D.

doi:10.1063/1.4906401

Cited by 8 publications

(5 citation statements)

References 15 publications

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“…The Navier-Stokes computations (labeled NS) with an open entrance tube and the same pressure ratio allow also to capture the wall boundary layer development behind the shock wave, which additionally reinforces its attenuation (labeled BL). This latter numerical result agrees well with the correlation: shock wave velocity versus local scaling factor Sc x (labeled correlation), which is given in [20] and obtained in classical micro shock tubes.…”

Section: Comparison Of Navier-stokes Computations With Experimental Rsupporting

confidence: 89%

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Laser-plasma induced shock waves in micro shock tubes

et al. 2017

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Shock wave generation with help of lasers or shock tubes, for example, is a common subject at macroscopic scale. On the other hand, the current tendency towards smaller scales becomes more and more important. In particular, shock waves in small channels or tubes with sub-mm or micron-sized diameter have attracted much interest within the last years. But downscaling of shock wave effects such as pressure decrease and Mach number attenuation during propagation, viscous and heat effects, laminar and turbulent flow is not necessarily straightforward from macro to micro or even nano range. Although several theoretical investigations are available in this new field, there is a strong demand on experiments, which are mostly missing due to the lack of suitable methods. The present work introduces a novel method for the generation of shock waves at microscale, namely laserinduced micro shock waves (LIMS). The LIMS method applies a femtosecond laser to induce an optical breakdown in a thin aluminum target located at the entrance of a micro tube. Subsequently, a shock wave is launched by the high pressure aluminum plasma and starts propagating into the tube. The topical work presents, for the first time, experimental investigations on direct micro shock wave generation and propagation at well-defined conditions in micron-sized tubes. They are performed for different conditions and tubes down to 50 μm diameter. Different from previous shock wave investigations in the mm-diameter range that involve pressure transducers, the present work applies non-contact measurements by optical methods. The experiments are supported by additional simulations. A one-dimensional numerical hydrocode is applied to simulate the shock wave generation process. Further propagation of the shock in a micro tube is analyzed by solving twodimensional Navier-Stokes equations. Both simulations agree well with the experimental results. Nomenclature L t laser pulse duration (fs-laser) E L laser pulse energy (fs-laser)

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Section: Comparison Of Navier-stokes Computations With Experimental Rsupporting

confidence: 89%

“…Figure 22. Comparison of the experimental and numerical shock wave velocity behavior in a 100 μm tube for different computations (correlation, Navier-Stokes, boundary layer and Euler; refer to [20]). measurement, were applied to investigate the shock wave behavior, in particular, shock wave attenuation.…”

Section: Discussionmentioning

confidence: 99%

Laser-plasma induced shock waves in micro shock tubes

et al. 2017

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“…Using the scaling parameter, Zeitoun (2015) presented a power law correlation to predict of attenuation in the shock Mach number in laminar and turbulent flows in a shock tube. The relation is given by where corresponds to the initial shock Mach number, is the attenuation parameter, is the local scaling ratio and is 1/7 for the turbulent flow regime.…”

Section: Shock Propagation Region In the Shock Tubementioning

confidence: 99%

Insights into the shockwave attenuation in miniature shock tubes

2021

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“…Various correlations supported by experimental data for the shock Mach number attenuation along a tube were also suggested in the literature (e.g., Refs. [30][31][32]. Using the Withem's assumption that all changes in the shock wave velocity are caused by the interaction between the leading shock front and tube walls, Gelfand et al 31 suggested a simple correlation for the shock wave Mach number, including the initial Mach number, local drag coefficient, and dimensionless propagation distance.…”

Section: Introductionmentioning

confidence: 99%

Pressure measurements in detonation engines

Иванов

Фролов

Sergeev

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part G:

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The influence of waveguide tubes on the signals received by remote pressure sensors measuring pressure histories in pulsed detonation engines (PDEs) and rotating detonation engines (RDEs) is studied computationally. Two types of pressure sensors are considered: low-frequency static pressure sensors and high-frequency sensors of pressure pulsations. Three approaches to solving the problem are used: based on Euler (inviscid flow), Navier–Stokes (laminar flow), and unsteady Reynolds-averaged Navier–Stokes (turbulent flow) equations. The approaches based on the inviscid and laminar flow models are shown to provide the best predictive capability. The laminar flow model is applied to analyzing the readings of pressure sensors installed remotely in the waveguide tubes attached to the hydrogen-fueled PDE, RDE, and detonation ramjet (DR). It is shown that the measurements of static pressure and pressure pulsations by remote pressure sensors do not correspond to the time-averaged mean and local instantaneous values of pressure in the combustors. The pressure time histories can be recovered based on the measurements and computational fluid dynamics calculations of the operation process. The latter is demonstrated by analyzing the results of test fires with a dual-duct DR model.

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Correlations of shock Mach number attenuation in small size diameter tubes

Cited by 8 publications

References 15 publications

Laser-plasma induced shock waves in micro shock tubes

Laser-plasma induced shock waves in micro shock tubes

Insights into the shockwave attenuation in miniature shock tubes

Pressure measurements in detonation engines

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