Acoustic and microwave tests in a cylindrical cavity for acoustic gas thermometry at high temperature

Refractive-index gas thermometry

The principles and techniques of primary refractive-index gas thermometry (RIGT) are reviewed. Absolute primary RIGT using microwave measurements of helium-filled quasispherical resonators has been implemented at the temperatures of the triple points of neon, oxygen, argon and water, with relative standard uncertainties ranging from 9.1 × 10-6 to 3.5 × 10-5. Researchers are now also using argon-filled cylindrical microwave resonators for RIGT near ambient temperature, with relative standard uncertainties between 3.8 × 10-5 and 4.6 × 10-5, and conducting relative RIGT measurements on isobars at low temperatures. RIGT at optical frequencies is progressing, and has been used to perform a Boltzmann constant measurement at room temperature with a relative standard uncertainty of 1.2 × 10-5. Uncertainty budgets from implementations of absolute primary microwave RIGT, relative primary microwave RIGT and absolute primary optical RIGT are provided.

Sound scattering and transmission through a circular cylindrical aperture revisited using the radial polynomials

The problem of sound scattering and transmission through a circular cylindrical aperture in a flat thick rigid wall has been revisited rigorously using the radial polynomials. The acoustic power transmission and back scattering coefficients have been presented in the form of highly convergent hypergeometric series described earlier in the literature for vibrating circular pistons and plates based on the crucial property of the polynomials in terms of the Hankel transform. The problem is solved by using the continuity conditions at both aperture outlets. The complex integrals necessary to satisfy the continuity conditions are expressed as the exact formulas, which makes the final results for the acoustic power coefficients much more accurate than in the case of numerical integration. A significant improvement has also been reached in numerical efficiency. On average, the calculations are 500 times more efficient compared to numerical integration with no accuracy loss. Additionally, the acoustic pressure on the aperture outlets has been presented exactly in the form of a highly convergent hypergeometric series as well as using the modal impedance coefficients.

Energy accommodation coefficient extracted from acoustic resonator experiments

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.

Progress towards the determination of thermodynamic temperature with ultra-low uncertainty

Previous research effort towards the determination of the Boltzmann constant has significantly improved the supporting theory and the experimental practice of several primary thermometry methods based on the measurement of a thermodynamic property of a macroscopic system at the temperature of the triple point of water. Presently, experiments are under way to demonstrate their accuracy in the determination of the thermodynamic temperature T over an extended range spanning the interval between a few kelvin and the copper freezing point (1358 K). We discuss how these activities will improve the link between thermodynamic temperature and the temperature as measured using the International Temperature Scale of 1990 (ITS-90) and report some preliminary results obtained by dielectric constant gas thermometry and acoustic gas thermometry. We also provide information on the status of other primary methods, such as Doppler broadening thermometry, Johnson noise thermometry and refractive index gas thermometry. Finally, we briefly consider the implications of these advancements for the dissemination of calibrated temperature standards.