Structural and Shear Relaxation in Liquids

Litovitz, T. A.; Davis, C. M.

doi:10.1016/b978-1-4832-2858-7.50013-2

Cited by 122 publications

(109 citation statements)

References 46 publications

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“…As known, in the case of isomeric rotational relaxation processes in molecular organic liquids, the η v /η s values are generally large and change with temperature changes. 54 Generally, the results obtained in this work (Table 4) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 28 the values (i.e., 0.873 and 0.852 ) extracted from a previous report. 2 It should be noted that an approach used to determine the bulk viscosity by means of a TG experiment "may introduce a significant error", as self-stated by Kozlov et al 11 4.3.…”

Section: Acs Paragon Plus Environmentmentioning

confidence: 99%

“…In other words, it should be keep in mind that for all aprotic RTILs studied to date, the determined f rel decrease with the decreasing temperature 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 30 and increasing side alkyl chain length in 3-methylimidazolium cation, 1 3,58 In other words, the lower the temperature, the higher the increase of the speed of sound with the decreasing temperature (concave up curve) is observed, and it is typical behavior in dispersion regions. 54,55 In the case of Because of the relatively large ultrasonic absorption in many RTILs, ultrasonic velocity is subject to a considerable dispersion. Fortunately, from the ultrasound absorption data, the frequency dependence of the ultrasonic velocity can be estimated.…”

Section: Acs Paragon Plus Environmentmentioning

confidence: 99%

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Ultrasonic Relaxation Study of 1-Alkyl-3-methylimidazolium-Based Room-Temperature Ionic Liquids: Probing the Role of Alkyl Chain Length in the Cation

et al. 2016

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Ultrasound absorption spectra of four 1-alkyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide were determined as a function of the alkyl chain length on the cation from 1-propyl-to 1-hexyl-from 293.15 to 323.15 K at ambient pressure. Herein, the ultrasound absorption measurements were carried out using a standard pulse technique within a frequency range from 10 to 300 MHz. Additionally the speed of sound, density and viscosity have been measured. The presence of strong dissipative processes during the ultrasound wave propagation was found experimentally, i.e. relaxation processes in the megahertz range were observed for all compounds over the whole temperature range. The relaxation spectra (both relaxation amplitude and relaxation frequency) were shown to be dependent on the alkyl side chain length of the 1-alkyl-3-methylimidazolium ring. In most cases, a single Debye model described the absorption spectra very well. However, a comparison of the determined spectra with the spectra of a few other imidazolium-based ionic liquids reported in the literature (in part recalculated in this work) shows that the complexity of the spectra increases rapidly with the elongation of the alkyl chain length on the cation.This complexity indicates that both the volume viscosity and the shear viscosity are involved in relaxation processes even in relatively low frequency ranges. As a consequence, the sound velocity dispersion is present at relatively low megahertz frequencies.

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Section: Acs Paragon Plus Environmentmentioning

confidence: 99%

Section: Acs Paragon Plus Environmentmentioning

confidence: 99%

Ultrasonic Relaxation Study of 1-Alkyl-3-methylimidazolium-Based Room-Temperature Ionic Liquids: Probing the Role of Alkyl Chain Length in the Cation

et al. 2016

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“…Now, we write the expressions for the quantities q θm and q rm . On the basis of the boundary conditions (22), (23) …”

Section: The Methods Of Solution Of the Problemmentioning

confidence: 99%

Analysis of Spectral Characteristics of Sound Waves Scattered from a Cracked Cylindrical Elastic Shell Filled with a Viscous Fluid

Piddubniak¹,

Piddubniak²

2013

Archives of Acoustics

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The scattering of plane steady-state sound waves from a viscous fluid-filled thin cylindrical shell weakened by a long linear slit and submerged in an ideal fluid is studied. For the description of vibrations of elastic objects the Kirchhoff-Love shell-theory approximation is used. An exact solution of this problem is obtained in the form of series with cylindrical harmonics. The numerical analysis is carried out for a steel shell filled with oil and immersed in seawater. The modules and phases of the scattering amplitudes versus the dimensionless wavenumber of the incident sound wave as well as directivity patterns of the scattered field are investigated taking into consideration the orientation of the slit on the elastic shell surface. The plots obtained show a considerable influence of the slit and viscous fluid filler on the diffraction process.

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“…There are various approaches to the problem of relaxation, and these are covered in more detail elsewhere [Litovitz and Davis, 1965 For wavelengths larger than the conduit width, the equation of continuity is modified by the expansion of the magma conduit walls [White, 1983] Equations (A14) and (A15) are valid only at low frequencies such that the acoustic wavelength is greater than the smallest of the cross sectional dimension of the magma conduit. In…”

Section: A1 Viscous Attenuation Coefficient For Low Frequency Sound mentioning

confidence: 99%

On the volcanic waveguide

Garcés¹

1997

J. Geophys. Res.

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Structural and Shear Relaxation in Liquids

Cited by 122 publications

References 46 publications

Ultrasonic Relaxation Study of 1-Alkyl-3-methylimidazolium-Based Room-Temperature Ionic Liquids: Probing the Role of Alkyl Chain Length in the Cation

Ultrasonic Relaxation Study of 1-Alkyl-3-methylimidazolium-Based Room-Temperature Ionic Liquids: Probing the Role of Alkyl Chain Length in the Cation

Analysis of Spectral Characteristics of Sound Waves Scattered from a Cracked Cylindrical Elastic Shell Filled with a Viscous Fluid

On the volcanic waveguide

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