Navier–Stokes Computations in Micro Shock Tubes

Zeitoun, D.; Burtschell, Yves

doi:10.1007/s00193-006-0023-4

Cited by 45 publications

(16 citation statements)

References 9 publications

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“…It was also pointed that the lower this scaling ratio is, the stronger boundary layer effects are. 10,11 Consequently, the intensity of the shock wave and the flow behavior are impacted along the tube through more or less shock wave attenuation with non-constant hot flow parameters behind the shock wave.…”

mentioning

confidence: 99%

“…This behavior is unsteady, but it is possible to study it at limit regime in a steady fixed shock coordinate system as proposed by Mirels. 4,5 In the last decade, due to the development and design of certain micro-electromechanical system (MEMS), analytical, numerical, and experimental works [8][9][10][11][12][13] have been published which concern the shock wave propagation in a tube with very small diameter (millior micrometer dimension). In these tubes, the viscous effects play an important role compared to the convective ones and the shock wave propagation is strongly affected.…”

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confidence: 99%

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Correlations of shock Mach number attenuation in small size diameter tubes

Zeitoun

2015

Physics of Fluids

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From previous works on the shock Mach number attenuation along small size diameter tubes, two different power-law correlations in laminar and turbulent flows in shock tube are proposed in this paper for describing this attenuation and the shock wave behavior. These correlations are based on a local scaling ratio built from driven gas conditions, hydraulic diameter tube, and shock wave propagation distance. A comparison to numerical and experimental existing data is presented and discussed.

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confidence: 99%

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confidence: 99%

Correlations of shock Mach number attenuation in small size diameter tubes

Zeitoun

2015

Physics of Fluids

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“…The application of unsteady Navier-Stokes equations coupled with the velocity slip and temperature jump boundary conditions has been applied to micro tube flows (Zeitoun et al 2009;Zeitoun and Burtschell 2006), with a strong decrease in the shock strength and flow velocity along the micro shock tube observed. The decay of shock wave strength was much stronger at lower initial pressure and small tube diameter.…”

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confidence: 99%

CFD Modelling of Flow Characteristics in Micro Shock Tubes

Mukhambetiyar

Jaeger

Adair

2017

JAFM

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The use of micro shock tubes has become common in many instruments requiring a high velocity and temperature flow field, for example in micro-propulsion systems and drug delivery devices for medical systems. A shock tube has closed ends, and the flow is generated by the rupture of a diaphragm separating a driver gas at high pressure from a driven gas at relatively low pressure. The rupture results in the movement of a shock wave and contact discontinuity into the low-pressure gas, and an expansion wave into the high pressure gas. The characteristics of the resulting unsteady flow for micro shock tubes are not well known as the physics of such tubes includes additional phenomena such as rarefaction and complex viscous effects at low Reynolds numbers. In the present study, computational fluid dynamics (CFD) calculations are made for unsteady compressible flow within a micro shock tube using the van-Leer MUSCL scheme and the two-layerturbulence model. Novel results have been obtained and discussed of the effects of using different diaphragm pressure ratios, shock tube diameters and wall boundary conditions, namely no slip and slip walls.

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“…He also devised a scaling factor for the generation and propagation of shock waves. Later Zeiton (5,6) carried out computational analysis to simulate the shock propagation under rarefied conditions. Recently Amit (7) studied the sudden expansion and contraction flows in a micro tube.…”

Section: Introductionmentioning

confidence: 99%

Numerical Visualization of the Unsteady Shock Wave Flow Field in Micro Shock Tube

Arun¹,

Kim²

2012

Journal of the Korean Society of Visualization

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Abstract. Recently micro shock tube is extensively being used in many diverse fields of engineering applications but the detailed flow physics involved in it is hardly known due to high Knudsen number and strong compressibility effects. Unlike the macro shock tube, the surface area to volume ratio for a micro shock tube is very large. This unique effect brings many complexities into the flow physics that makes the micro shock tube different compared with the macro shock tube. In micro shock tube, the inter-molecular forces of working gas can play an important role in specifying the flow characteristics of the unsteady shock wave flow which is essentially generated in all kinds of shock tubes. In the present study, a CFD method was used to predict and visualize the unsteady shock wave flows using the unsteady compressible Navier-Stokes equations, furnished with the no-slip and slip wall boundary conditions. Maxwell's slip equations were used to mathematically model the shock movement at high Knudsen number. The present CFD results show that the propagation speed of the shock wave is directly proportional to the initial pressure and diameter of micro shock tube.

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Navier–Stokes Computations in Micro Shock Tubes

Cited by 45 publications

References 9 publications

Correlations of shock Mach number attenuation in small size diameter tubes

Correlations of shock Mach number attenuation in small size diameter tubes

CFD Modelling of Flow Characteristics in Micro Shock Tubes

Numerical Visualization of the Unsteady Shock Wave Flow Field in Micro Shock Tube

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