The Effects of Viscosity on the Structure of Shock Waves in a Non-Ideal Gas

Anand, R. S.; Yadav, H.C.

doi:10.12693/aphyspola.129.28

Cited by 15 publications

(4 citation statements)

References 30 publications

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“…From the above-discussed results, we overall noticed that the observed behaviour of a shock wave after having an interaction with condensed materials is very similar to that seen in other mediums, e.g., ideal and nonideal gases and liquids [18]. The differences are only noticeable in the thickness of shock fronts sustained in different media.…”

Section: Resultssupporting

confidence: 69%

“…Keep in mind that the alloy materials employed in this work are assumed to be in a fluid form or a condensed state. Unlike other studies in the literature [17,18], to avoid the complexity of finding an analytical solution for fluid equations, we assume that the viscosity of our condensed materials is temperature-independent. As was also previously indicated, this study has anticipated a steady shock front forming for a very short period in condensed alloy materials.…”

Section: Introductionmentioning

confidence: 99%

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Structure of shock wave in tungsten and titanium metals by using navier-stokes equation

Singh

Anand

2023

Phys. Scr.

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Using the Navier-Stokes equation, we present the structure of a one-dimensional stationary shock wave formed in condensed alloy materials such as tungsten and titanium. In this study, the shock wave structure in the mentioned materials has been analysed by deriving several important parameters such as material viscosity, the Mie-Gruneisen parameter, and Mach number (M). One of our derived results is shock thickness, which is found to be of the order of 10-6 meters. In addition, we address a number of key insights into the shock wave interaction with tungsten and titanium. It should be noted that the validity of the model discussed in this study is limited to high M values, i.e., M ≥ 2.0.

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Section: Resultssupporting

confidence: 69%

Section: Introductionmentioning

confidence: 99%

Structure of shock wave in tungsten and titanium metals by using navier-stokes equation

Singh

Anand

2023

Phys. Scr.

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“…For shocks in all kinds of substances, the structure of a shock and in particular its width have attracted scientific interest for many years [1][2][3][4][5][6][7][8]. Although a shock is often described as a discontinuity in parameters such as number density, a true discontinuity is impossible.…”

Section: Introductionmentioning

confidence: 99%

Shock width measured under liquid and solid conditions in a 2D dusty plasma

Kananovich,

Goree

2020

Preprint

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Widths of shocks are compared, under liquid and solid conditions, for a two-dimensional layer of charged microspheres levitated in a plasma. In this strongly coupled dusty plasma, a shock was launched as a blast wave by moving an exciter wire at a supersonic speed and then bringing it to a halt. Runs were repeated with the layer of microspheres prepared two ways: a crystalline-like solid, and a liquid. The liquid was sustained using laser heating, with conditions that were otherwise the same as in the solid. The shock width was found to be less in a liquid than in a solid, where it was 4 to 6 lattice constants. These measurements were based on the high-gradient region of density profiles. The profiles were obtained from particle coordinates, measured by high-speed video imaging. The spatial resolution was improved by combining particle coordinates, in the shock's frame of reference, from a sequence of images.

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“…The formation of these shock waves was affected by the real gas effects, and hence it is vital to understand the quality and behavior of the each equation of state, and it is also necessary to examine how these influence the flow field and its behavior in shock formation. Detailed study on the effect of real gas effects on flow properties inside shock wave is carried out using Becker's solution (Khidr and Mahmoud (1985); Anand and Yadav (2008)). To the best knowledge of the author, there is no comparative study on this case with different EOS at same conditions is available.…”

Section: Introductionmentioning

confidence: 99%

Study on the Equation of State for Supercritical CO2 Flow through a Convergent and Divergent Nozzle

SenthilKumar

Doh

Kim

2017

European Conference on Turbomachinery Fluid Dynamics and Hermodynamics

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Supercritical CO 2 (S-CO 2) has a density as high as that of its liquid phase while the viscosity remains closer to its gaseous phase. S-CO 2 has the potential to be used as a working fluid in compressor since it requires much less work due to its low compressibility as well as relatively small flow resistance. Besides the material properties and design calculations, the thermophysical properties of working gases play a vital role in the design and efficiency of various machinery such as compressors, turbines, etc. For the analysis of the fluid dynamic performance of these machinery, there is, no standard procedure for selecting a suitable equation of state (EOS). Further, the performance of the compressor is mainly affected by shock waves occurring near blade section at high temperature and pressure. To understand the influence of real gas effects on the formation of a shock wave, in the present work the S-CO 2 flow through a convergent-divergent nozzle, is theoretically analyzed. The thermophysical and transport properties calculated with the different equation of state (EOS) are used to estimate the flow characteristics. A series of equations based on one-dimensional gas dynamics theory along with the real gas properties have been theoretically solved with a computer program to predict the compressible flow of S-CO 2. The solutions for the shock strength, total pressure loss, and location of the normal shock wave at different back pressure conditions are obtained. Using Becker's solutions with varying viscosity and thermal conductivity estimated from each EOS, the entropy distribution inside the normal shock wave and the thickness of the shock front are calculated. The formation of shock wave is found to be significantly influenced by the real gas effects particularly at high pre-shock Mach number.

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The Effects of Viscosity on the Structure of Shock Waves in a Non-Ideal Gas

Cited by 15 publications

References 30 publications

Structure of shock wave in tungsten and titanium metals by using navier-stokes equation

Structure of shock wave in tungsten and titanium metals by using navier-stokes equation

Shock width measured under liquid and solid conditions in a 2D dusty plasma

Study on the Equation of State for Supercritical CO2 Flow through a Convergent and Divergent Nozzle

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