The Shock-Wave Theory of Sonoluminescence

Roberts, Paul; Wu, C. Y. Robert

doi:10.1007/978-3-662-05161-0_1

Cited by 13 publications

(12 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To discover how deviations from the ideal gas can affect the solutions, we adopt a simple model. We assume that the gas obeys a simplified van der Waals equation of state of the form (Roberts and Wu, [17,18])…”

Section: Basic Equations and Boundary Conditionsmentioning

confidence: 99%

“…Vishwakarma and Nath [15] have obtained similarity solutions for the flow behind an exponential shock by taking the same equation of state for the medium. Roberts and Wu [17,18] have used an equivalent equation of state to study the shock wave theory of sonoluminescence. Vishwakarma et al [19] too adopted this as their model of a non-ideal gas to obtain the self-similar solutions for the flow behind a magnetogasdynamic cylindrical shock wave propagating in a rotating gas in presence of an azimuthal magnetic field.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Vishwakarma¹,

Singh²

2012

View full text Add to dashboard Cite

Self-similar flows behind a gas-ionizing cylindrical shock wave, with radiation heat flux, in a non-ideal gas are studied. The ionizing shock is assumed to be propagating in a medium at rest with constant density permeated by an azimuthal magnetic field. The electrical conductivity of the gas is infinite behind shock and zero ahead of it. Effects of the non-idealness of the gas, the radiation flux and the rate of energy input from the inner contact surface (or piston) on the flow-field behind the shock and on the shock propagation are investigated.

show abstract

Section: Basic Equations and Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Vishwakarma¹,

Singh²

2012

View full text Add to dashboard Cite

show abstract

Section: Basic Equations and Boundary Conditionsmentioning

confidence: 99%

“…The popular alternative to the ideal gas is a simplified van der Waals model. Roberts and Wu [9,10] adopted this model to discuss the shock wave theory of Sonoluminescence. Vishwakarma et al [11] too adopted this as their model of a non-ideal gas to obtain the self-similar solutions for the flow behind a magnetogasdynamic cylindrical shock wave propagating in a rotating gas in presence of an azimuthal magneting field.…”

Section: Introductionmentioning

confidence: 99%

Ionizing Cylindrical Shock Waves in a Rotating Homogeneous Non-ideal Gas

Vishwakarma¹,

Singh²

2012

MECHANICS

View full text Add to dashboard Cite

Similarity Solutions are obtained for one-dimensional adiabatic flow behind ionizing cylindrical shock wave propagating in a rotating non-ideal gas in presence of an azimuthal magnetic field. The electrical conductivity in the medium ahead of the shock is assumed to be negligible, which becomes infinitely large after passage of the shock. In order to obtain the similarity solutions, the initial density of the medium is assumed to be constant and the initial angular velocity to be obeying a power law and to be decreasing as the distance from the axis increases. The effects of an increase in the value of the index for variation of angular velocity of the ambient medium, in the value of the parameter of the non-idealness of the gas and in the strength of the ambient magnetic field on the shock propagation are investigated. It is observed that the non-idealness of the gas has decaying effect on the shock wave.

show abstract

“…Robert and Wu [2] have studied the gas that obeys a simplified Vander Waal's equation of state. Assuming that the piston is moving with time according to law given by Steiner and Hirschler [3], Vishwakarma et al [4] have investigated the one dimensional unsteady self-similar flow behind a strong shock, driven out by a cylindrical or spherical piston in a medium which is assumed to be non-ideal and which obey the simplified Vander-Waal's equation of state as considered by Robert and Wu [5]. Madhumita and Sharma [6] have considered the model equation for a low density gas, which describes the behaviour of the medium satisfactorily for implosion problems where the temperature attained by the gas motion in the strong shock limit is very high.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Shock Waves in Non-Ideal Gas Under the Action of Magnetic Field

Pandey¹,

Pathak²

2017

APM

View full text Add to dashboard Cite

In present paper, certain aspect of shock wave in non-ideal gas, when magnetic field is orthogonal to the trajectories of the gas particles and electrical conductivity is taken to be infinite, is investigated. Considering one-dimensional unsteady non-planer motion, basic equations, its general solution and formation of shock-wave, conservation laws and jumps conditions, variation of area of non-uniform cross section and analytical solution of strong non planer shock is obtained.

show abstract

The Shock-Wave Theory of Sonoluminescence

Cited by 13 publications

References 36 publications

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Self-Similar Cylindrical Ionizing Shock Waves in a Non-Ideal Gas with Radiation Heat-Flux

Ionizing Cylindrical Shock Waves in a Rotating Homogeneous Non-ideal Gas

Investigation of Shock Waves in Non-Ideal Gas Under the Action of Magnetic Field

Contact Info

Product

Resources

About