Resonance oscillations of a gas in a shut-end tube in the region of transition to shock waves

Galiullin, R. G.; Зарипов, Р. Г.; Galiullina, Elmira; Davydov, R. I.

doi:10.1007/bf02681742

Cited by 3 publications

(2 citation statements)

References 7 publications

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“…The code operating capacity was checked using a number of test problems with analytical solutions (for example, the initial problem in the linear approximation, generation of a shock wave, Riemann problem). Comparisons of numerical results with experimental data of pressure oscillations inside a closed cylindrical tube with a vibrating piston, reported by Saenger and Hudson 20 and Galiullin et al 21 were also made.…”

Section: Numerical Methods and Parameters Of Calculationsmentioning

confidence: 93%

Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity

Губайдуллин

Yakovenko

2015

The Journal of the Acoustical Society of America

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Acoustic streaming in a gas filled cylindrical cavity subjected to the vibration effect is investigated numerically. Both thermally insulated walls and constant temperature walls are considered. The range of vibration frequencies from low frequencies, at which the process can be described by an approximate analytical solution, to high frequencies giving rise to strong nonlinear effects is studied. Frequencies lower than the resonant one are chosen, and nonlinearity is achieved due to the large amplitude. The problem is solved in an axisymmetric statement. The dependence of acoustic streaming in narrow channels at vibration frequencies lower than the resonant one on the type of thermal boundary conditions is shown. The streaming vortices' directions of rotation in the case of constant temperature walls are found to be opposite to those in the case of thermally insulated walls. Different nonlinear effects, which increase with the frequency of vibration, are obtained. Nonlinear effects manifesting as the nonuniformity of average temperature, pressure, and density are in turn found to be influencing the streaming velocity and streaming structure.

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Section: Numerical Methods and Parameters Of Calculationsmentioning

confidence: 93%

Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity

Губайдуллин

Yakovenko

2015

The Journal of the Acoustical Society of America

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“…The vibration frequency was taken in the neighborhood of the halved natural frequency of the system. Nonlinear resonances of the second and third orders were investigated experimentally in the work [3], a transition from nearly harmonic gas oscillations to strongly nonlinear ones was considered. The acoustic flow in a rectangular cavity with a piston oscillating at a constant frequency was studied numerically in the work [4].…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the perfect gas behavior in a vibrating cylindrical cavity with thermally insulated walls

Губайдуллин

Yakovenko

2014

Thermophys. Aeromech.

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The influence of the vibrational action on a cylindrical cavity filled with a viscous perfect gas is studied numerically. The problem is solved in a two-dimensional axisymmetric statement. The cavity walls are thermally insulated. The numerical solution of the problem is compared with the analytic one in the linear approximation. The nonlinear effects and the non-one-dimensional effects are described.

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Experimental and Analytical Study of Gas Resonance Oscillations in the Closed Tube with the Cross-Section Jump

Gubaidullin

Ткаченко

Shaidullin

et al. 2021

Lobachevskii J Math

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Resonance oscillations of a gas in a shut-end tube in the region of transition to shock waves

Cited by 3 publications

References 7 publications

Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity

Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity

Numerical investigation of the perfect gas behavior in a vibrating cylindrical cavity with thermally insulated walls

Experimental and Analytical Study of Gas Resonance Oscillations in the Closed Tube with the Cross-Section Jump

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