Erratum: ‘‘Poiseuille flow of a rarefied gas in a cylindrical tube: Solution of linearized Boltzmann equation’’ [Phys. Fluids A <b>2</b>, 2061 (1990)]

Loyalka, Sudarshan K.; Hamoodi, S. A.

doi:10.1063/1.858220

Cited by 5 publications

(2 citation statements)

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“…The results for a hard-sphere gas are plotted and compared with the numerical solution [21] in Fig. 2.…”

Section: Mass Flow Rate Of the Poiseuille Flow And Thermal Transpirationmentioning

confidence: 99%

On the second-order slip and jump coefficients for the general theory of slip flow

Takata¹,

Hattori²

2012

AIP Conference Proceedings

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The general theory of slip flow established in the late 1960s is revisited. For a long time, the complete set of data of the slip and jump coefficients up to the second order of the small Knudsen number have been available only for the Bhatnagar-Gross-Krook model. The present paper provides the complete set of data of those coefficients for a hard-sphere gas on the diffuse reflection boundary. The data are obtained by using the general identities that have been deduced from recently developed symmetry arguments. A few simple application examples are also presented.

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“…The results for a hard-sphere gas are plotted and compared with the numerical solution [21] in Fig. 2.…”

Section: Mass Flow Rate Of the Poiseuille Flow And Thermal Transpirationmentioning

confidence: 99%

On the second-order slip and jump coefficients for the general theory of slip flow

Takata¹,

Hattori²

2012

AIP Conference Proceedings

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“…23 The flow through a circular pipe, which reduces to a one-dimensional ͑1D͒ problem, is studied based on the BKW model 2,4,6,15 and a hard sphere gas. 17 The third fundamental problem is a flow through a pipe with a rectangular cross section, which is genuinely a two dimensional problem. This problem was first studied in Ref.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the Poiseuille flow and the thermal transpiration of a rarefied gas through a pipe with a rectangular cross section based on the linearized Boltzmann equation for a hard sphere molecular gas

Doi

2010

Journal of Vacuum Science &Amp; Technology A: Vacuum, Surfaces, and Films

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Poiseuille flow and the thermal transpiration of a rarefied gas through a long straight pipe with a rectangular cross section are analyzed numerically based on the linearized Boltzmann equation for a hard sphere molecular gas. A deterministic numerical analysis based on the finite difference is carried out, where the collision integral is evaluated with the aid of the numerical kernel method [Y. Sone et al., Phys. Fluids A 1, 363 (1989)]. The numerical solution, the mass flow rate as well as the macroscopic variables, is presented and discussed for a wide range of the Knudsen number and various aspect ratios of the cross section.

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Rarefied gas flow between two cylinders caused by the evaporation and condensation on their surfaces

1998

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The rarefied gas flow between two coaxial cylinders caused by the evaporation and condensation on their surfaces is investigated on the basis of the kinetic and hydrodynamical equations. It is assumed that the cylinders may rotate with equal angular velocity. The equilibrium is perturbed by the small density difference of evaporated particles on the inner cylinder. The hydrodynamical equation has been solved analytically and the kinetic equation has been solved by the discrete velocity method modified for the discontinuous distribution function. The fields of the density, the velocity and the temperature are presented for a wide range of the Knudsen number. An analysis of the influence of the rotation of the cylinders on the flow field is given.

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Erratum: ‘‘Poiseuille flow of a rarefied gas in a cylindrical tube: Solution of linearized Boltzmann equation’’ [Phys. Fluids A 2, 2061 (1990)]

Cited by 5 publications

References 0 publications

On the second-order slip and jump coefficients for the general theory of slip flow

On the second-order slip and jump coefficients for the general theory of slip flow

Numerical analysis of the Poiseuille flow and the thermal transpiration of a rarefied gas through a pipe with a rectangular cross section based on the linearized Boltzmann equation for a hard sphere molecular gas

Rarefied gas flow between two cylinders caused by the evaporation and condensation on their surfaces

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