Energy accommodation coefficient extracted from acoustic resonator experiments

Abstract

We review values of the temperature jump coefficient ζT determined from measurements of the acoustic resonance frequencies facoust of helium-filled and argon-filled, spherical cavities near ambient temperature. We combine these values of ζT with literature data for tangential momentum accommodation coefficient (TMAC) and the Cercignani-Lampis model of the gas-surface interaction to obtain measurement-derived values of the normal energy accommodation coefficient (NEAC). We found that NEAC ranges from 0 to 0.1 for helium and from 0.61 to 0.85 for argon at ambient temperature for several different surfaces. We suggest that measurements of facoust of gas-filled, cylindrical cavities and of the non-radial modes of quasi-spherical cavities might separately determine TMAC and NEAC. Alternatively, TMAC and NEAC could be determined by measuring the heat transfer and momentum transfer between parallel rotating discs at low pressure.

Drag and thermophoresis on a sphere in a rarefied gas based on the Cercignani–Lampis model of gas–surface interaction

“…According to the literature (see, e.g. Sazhin et al 2001 and Sharipov & Moldover 2016) in the case of argon gas and a metallic surface, the more reliable values of accommodation coefficients supported by experimental data are and on an atomically clean surface whereas on a contaminated surface the gas–surface interaction is closer to diffuse scattering. Then, the results obtained in the present work for diffuse scattering, i.e.…”

“…The values of the accommodation coefficients considered in the calculations were chosen because, in practice, the coefficients vary in the ranges and for some gases; see, e.g. Sharipov (1999) and Sharipov & Moldover (2016). According to table 2, the thermophoretic force can be either in the direction of the temperature gradient or in the opposite direction to it.…”

“…Semyonov, Borisov & Suetin (1984), Trott et al (2011), Sazhin, Borisov & Sharipov (2001) and Sharipov & Moldover (2016) for several gases and surfaces. For instance, according to Trott et al (2011) and Sharipov & Moldover (2016), the NEAC ranges from 0 to 0.1 for helium and from 0.5 to 0.95 for argon at ambient temperature and several different smooth metallic surfaces such as aluminum, platinum and stainless steel. Moreover, the TMAC of helium and argon ranges from 0.5 to 1 at the same conditions.…”

“…In practice, the values of these accommodation coefficients extracted from experiments can be found in the literature; see, e.g. Semyonov, Borisov & Suetin (1984), Trott et al (2011), Sazhin, Borisov & Sharipov (2001) and Sharipov & Moldover (2016) for several gases and surfaces. For instance, according to Trott et al (2011) and Sharipov & Moldover (2016), the NEAC ranges from 0 to 0.1 for helium and from 0.5 to 0.95 for argon at ambient temperature and several different smooth metallic surfaces such as aluminum, platinum and stainless steel.…”

Determination of the Boltzmann constant with cylindrical acoustic gas thermometry: new and previous results combined

“…When fitting equation (9), A 2 and A −1 were mode-independent adjustable parameters. ( A 2 is closely related to the third acoustic virial coefficient and A −1 accounts for imperfect energy and momentum accommodation between the argon and the copper walls of the cavity [27]. ) A 3 was fixed at the value 1.45 × 10 −18 m 2 s −2 Pa −3 taken from [7], and A 1, l took the values A 1,2 , A 1,3 , A 1,4 , and A 1,5 for modes A2, A3, A4 and A5, respectively.…”