Gas flow through an elliptical tube over the whole range of the gas rarefaction

A rarefied gas flow trough a long tube with an elliptical cross section is studied on the basis of the BGK kinetic model equation in the whole range of the Knudsen number varying from the free molecular regime to the hydrodynamic one. A wide range of the aspect ratio is considered. The mass flow rate is calculated as a function of the pressures on the tube ends.

[1]  S. Naris,et al.  Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients , 2005 .

[2]  Felix Sharipov,et al.  Non-isothermal gas flow through rectangular microchannels , 1999 .

[3]  Mikhail Naumovich Kogan,et al.  Rarefied Gas Dynamics , 1969 .

[4]  Felix Sharipov,et al.  On optimization of the discrete velocity method used in rarefied gas dynamics , 1993 .

[5]  V. D. Seleznev,et al.  Rarefied gas flow through a long tube at any pressure ratio , 1994 .

[6]  Felix Sharipov,et al.  Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. III. Poiseuille flow and thermal creep through a long tube , 2003 .

[7]  Felix Sharipov,et al.  Data on Internal Rarefied Gas Flows , 1998 .

[8]  S. Naris,et al.  Discrete velocity modelling of gaseous mixture flows in MEMS , 2004 .

[9]  F. Sharipov,et al.  Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient , 2004 .

[10]  Felix Sharipov,et al.  Application of the Cercignani–Lampis scattering kernel to calculations of rarefied gas flows. II. Slip and jump coefficients , 2003 .

[11]  S. Loyalka,et al.  An efficient computation of near-continuum rarefied gas flows , 1982 .

[12]  J. Ferziger,et al.  Mathematical theory of transport processes in gases , 1972 .

[13]  Kazuo Aoki,et al.  Numerical Analysis of Rarefied Gas Flows by Finite-Difference Method , 2008 .

[14]  Felix Sharipov,et al.  Velocity slip and temperature jump coefficients for gaseous mixtures. IV. Temperature jump coefficient , 2005 .

[15]  T. Storvick,et al.  Poiseuille flow and thermal creep flow in long, rectangular channels in the molecular and transition flow regimes , 1976 .

[16]  Felix Sharipov,et al.  Rarefied gas flow through a long rectangular channel , 1999 .

[17]  J. R. Thomas,et al.  Exact numerical results for Poiseuille and thermal creep flow in a cylindrical tube , 1986 .

[18]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .