The Variation of the Viscosity of Gases and Vapors with Temperature.

Licht, William; Stechert, Dietrich G.

doi:10.1021/j150433a004

Cited by 51 publications

(13 citation statements)

References 7 publications

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“…For example, Sutherland's formula (Licht Jr & Stechert 1944) Chapman & Cowling (1939), the variation of thermal conductivity is approximately the same as the variation of the viscosity coefficient. The thermodynamic parameters C p , C v , β and c may also depend on temperature (see Appendix A).…”

Section: Governing Equationsmentioning

confidence: 99%

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Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections

et al. 2009

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A general theory of thermoacoustics is derived for arbitrary stack pores. Previous theoretical treatments of porous media are extended by considering arbitrarily shaped pores with the only restriction that the pore cross-sections vary slowly in the longitudinal direction. No boundary-layer approximation is necessary. Furthermore, the model allows temperature variations in the pore wall. By means of a systematic approach based on dimensional analysis and small parameter asymptotics, we derive a set of ordinary differential equations for the mean temperature and the acoustic pressure and velocity, where the equation for the mean temperature follows as a consistency condition of the assumed asymptotic expansion. The problem of determining the transverse variation is reduced to finding a Green's function for a modified Helmholtz equation and solving two additional integral equations. Similarly the derivation of streaming is reduced to finding a single Green's function for the Poisson equation on the desired geometry.

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Section: Governing Equationsmentioning

confidence: 99%

“…In general, the viscosity and thermal conductivity will depend on temperature. For example, Sutherland's formula (Licht Jr & Stechert 1944) can be used to model the dynamic viscosity as a function of the temperature…”

Section: Governing Equationsmentioning

confidence: 99%

Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections

et al. 2009

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“…Molecular dipole moments are essential for developing potential models and predicting thermophysical properties of fluids. Thermophysical properties such as vapor viscosity and thermal conductivity are required for industrial process design calculations, − but they are often not available for many species, especially for proprietary compounds. Furthermore, vapor phase dipole moments are difficult to measure experimentally and data for complex molecules are scarce. − …”

Section: Introductionmentioning

confidence: 99%

Method for Predicting Dipole Moments of Complex Molecules for Use in Thermophysical Property Estimation

Call²,

Kowall³

et al. 2019

Ind. Eng. Chem. Res.

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We present a formalism for accurate estimation of dipole moments using quantum mechanics for complex molecules having conformational degrees of freedom. Dipole moments of complex molecules are often needed for use in correlations for estimating viscosities and other thermophysical properties. However, experimentally measured dipole moments are not available for many molecules, especially those used in proprietary industrial processes and products. Many complex molecules have dipole moments that change significantly in response to the conformation of the molecules. We show that proper accounting of the conformation-dependent dipole moment may be required to achieve an acceptably accurate estimate of the experimental dipole moment and provide recommendations on efficient estimation techniques. We also demonstrate that for molecules with dipole moments above about 1.3 D reasonably accurate estimation of the dipole moment is required for reliable prediction of vapor phase viscosity, whereas estimation of thermal conductivity is less sensitive to the dipole moment.

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“…where D is the pore diameter, P is the pressure, and m is the molecular mass. Values of η for helium were taken from [20]. Alternative definitions of Kn based on an estimate of molecular size neglect interactions and can differ from the definition of Eq.1 by up to an order of magnitude.…”

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confidence: 99%

Pressure-driven flow through a single nanopore

et al. 2012

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We have measured the flow of gas through single ion track pores in a polymer film using a mass spectroscopy technique. The pores are 12 μm long with diameters in the range of 50-1000 nm, and the flow was driven by pressure drops in the range 0-30 atm. When the mean free path is large compared to the pore diameter (large Knudsen number Kn), the flow rate is proportional to the pressure drop and the pore radius R cubed, and is consistent with a model of diffusive scattering at the pore walls. For Kn≤0.1, the hydrodynamic conductance increases, as predicted by standard kinetic theory models, and finally approaches the conventional Poiseuille value with zero slip length.

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The Variation of the Viscosity of Gases and Vapors with Temperature.

Cited by 51 publications

References 7 publications

Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections

Weakly nonlinear thermoacoustics for stacks with slowly varying pore cross-sections

Method for Predicting Dipole Moments of Complex Molecules for Use in Thermophysical Property Estimation

Pressure-driven flow through a single nanopore

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