Shock structure in a liquid containing gas bubbles with nonsteady inter phase heat transfer

Aidagulov, R. R.; Khabeev, N. S.; Shagapov, V. Sh.

doi:10.1007/bf00851654

Cited by 9 publications

(9 citation statements)

References 2 publications

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“…It is evident that the complexity of the gas-liquid heat transfer gives rise to a strong variability of Nu along the wave. Aidagulov, Khabeev & Shagapov (1977) tested the approximation Nuconstant against a full calculation based essentially on the same equations as here and concluded in its favour. We test this statement for the case of figure 3 in figure 15 (a).…”

Section: Discussion Of Previous Workmentioning

confidence: 99%

Shock waves in dilute bubbly liquids

Watanabe

Prosperetti

1994

J. Fluid Mech.

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The propagation of weak shock waves in liquids containing a small concentration of gas bubbles is studied theoretically on the basis of a mathematical model that contains all — and only — the effects that contribute to first order in the gas volume fraction. In particular, the thermal exchange between the gas bubbles and the liquid is described accurately. This aspect of the theory emerges as its most significant component, relegating effects such as the relative motion between the phases to roles of minor importance. Comparison with experimental results substantiates the accuracy of the model for shock waves that have had time to broaden from an initial sharp front to a more diffuse profile. For shock waves closer to inception, marked differences are found between theory and experiment. The same problem affects all other published theoretical treatments. It is concluded that some as yet poorly understood mechanism governs the early-time behaviour of shock waves in bubbly liquids.

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Section: Discussion Of Previous Workmentioning

confidence: 99%

Shock waves in dilute bubbly liquids

Watanabe

Prosperetti

1994

J. Fluid Mech.

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“…The cell dimension is determined by the volume fractions of the phases and equals to Ra À1=3 v , the cell centre coinciding with the centre of the test bubble. The distributions of microparameters inside a cell are described by the equations for the corresponding microprocesses with the boundary conditions on the test bubble surface (which determine the interphase interaction) and on the external boundary of the cell [7]. Consider a spherically symmetric test bubble with its centre at a point x, the microparameters around the bubble being dependent of time t, the position of the bubble centre x, and the distance r of a microparticle from the centre.…”

Section: Basic Assumptionsmentioning

confidence: 99%

Nonlinear interaction and reflection of waves in vapor–liquid bubbly mixtures

Khabeev¹

2007

International Journal of Heat and Mass Transfer

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“…Shock waves in liquid with bubbles of an insoluble and non-condensable gas have been investigated theoretically and experirn.entally by Nigmatulin, Khabeev and Shagapov (1974); Nigmatulin and Shagapov (1974); Aidagulov, Khabeev and Shagapov (1977). Shock waves in liquid with bubbles of easily soluble gas have been investigated theoretically and experimentally by Terushige Fujii and Koji Akagawa (1991); V .…”

Section: Introductionmentioning

confidence: 99%

Shock adiabat analysis for the mixture of liquid and gas of two components

Hai¹,

Tuấn²

2000

Vietnam J. Mech.

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ABSTRACT. The liquid and gas mixture is met in many natural and industrial pro~ cesses. In the paper, the investigation results of shock waves, propagated in the liquid and two-component gas (one component is neutral, the other is condensed) mixture, are presented. The influence of the relative gas ratios , initial gas volume, wave intensity etc. on the main wave characteristics, is analyzed and illustrated as examples for two mixtures. The first is a mixture of water and gas (air and water vapour) . The second is a mixture of crude oil and gas (one component is soluble, the other is insoluble).

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Shock structure in a liquid containing gas bubbles with nonsteady inter phase heat transfer

Cited by 9 publications

References 2 publications

Shock waves in dilute bubbly liquids

Shock waves in dilute bubbly liquids

Nonlinear interaction and reflection of waves in vapor–liquid bubbly mixtures

Shock adiabat analysis for the mixture of liquid and gas of two components

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