By Marinus van Dongen, Marinus van Dongen
ISBN-10: 3540223649
ISBN-13: 9783540223641
ISBN-10: 3540358455
ISBN-13: 9783540358459
ISBN-10: 354077078X
ISBN-13: 9783540770787
ISBN-10: 3540770801
ISBN-13: 9783540770800
Shock Waves in multiphase media discuss with a wealthy number of phenomena of curiosity for physicists, chemists, mechanical, biomedical and aeronautical engineers, in addition to fluid dynamicists. This quantity treats surprise and enlargement waves in
(bullet) advanced, bubbly beverages (L van Wijngaarden, Y Tomita, V Kendrinskii)
(bullet) cryogenic beverages (M Murakami)
And examines the connection of outrage waves with
(bullet) section transitions (A Guha, CF Delale, G Schnerr, MEH van Dongen)
as good as their interplay with
(bullet) sturdy foams, textiles, porous and granular media (B Skews, DMJ Smeulders, MEH van Dongen, V Golub, O Mirova)
All chapters are self-contained, and will be learn independently of one another, notwithstanding they're in fact thematically interrelated. they provide a well timed reference, for novices, in addition to specialist scientists and engineers, on surprise waves in multiphase media with new viewpoints and at the burgeoning developments.
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Extra info for Shock wave science and technology reference library
Sample text
The thermal behavior of oscillating gas bubbles. J. Fluid Mech. 222, 587–616 (1991) 7. : Linear and Nonlinear Waves. Mc Graw-Hill (1974) 8. : Elements of Gasdynamics. Wiley (1957) 9. : Shock waves in a liquid containing gas bubbles. Proc. Roy. Soc. Lond. A 243, 534–545 (1958) 10. : The two coefficients of viscosity for a liquid containing air bubbles. Proc. R. Soc. Lond. A 225, 473–477 (1953) 11. : Hydrodynamic interaction between gas bubbles in liquid. J. Fluid. Mech. 77, 27–44 (1976) 12. : One-dimensional flow of liquids containing small gas bubbles.
78) is valid for (R/χ)(p0 /ρ)1/2 larger than about 103 . In water at atmospheric conditions this means bubbles with radius larger than a millimeter. Finally we recommend considerable caution in treating thermodynamic changes of gas in the bubbles during passage of a shock wave with a constant polytropic index. , for the calculation of the shock speed. Also, the A shock can, as we have seen, taken to be adiabatic. However in dealing with B and C shocks it may lead to erroneous conclusions. This is shown in an instructive way by Watanabe and Prosperetti [20].
Working out the corresponding shock thickness we obtain (dC )th ∼ 1 τ˜U (γ − 1) . 75) shows that if the latter agrees with experiments this means that τ˜ is of the same order as τv . It suggests itself to inspect whether the penetration time of heat in a bubble is a candidate for τ˜. 40), an initial velocity difference between bubbles and liquid relaxes to zero as e−t/τv = e− 18νl t R2 . On the other hand, if a conducting sphere with initial temperature zero is at its surface exposed to a temperature T0 , the temperature in the center behaves for large times as, [23], T ∼ T0 1 − e− π 2 χt R2 .
Shock wave science and technology reference library by Marinus van Dongen, Marinus van Dongen
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