A simulation of gas flow: The dependence of the tangential momentum accommodation coefficient on molecular mass

2016 ◽  
Vol 28 (9) ◽  
pp. 097101 ◽  
Author(s):  
William W. Lim ◽  
Gregg J. Suaning ◽  
David R. McKenzie
Keyword(s):  
Molecular Mass ◽  
Gas Flow ◽  
Accommodation Coefficient ◽  
Tangential Momentum Accommodation Coefficient ◽  
Tangential Momentum

scholarly journals Research on Fluid Flow and Permeability in Low Porous Rock Sample Using Laboratory and Computational Techniques

Energies ◽  
2019 ◽  
Vol 12 (24) ◽  
pp. 4684 ◽  
Author(s):  
Paulina Krakowska ◽  
Paweł Madejski
Keyword(s):  
Fluid Flow ◽  
Rock Sample ◽  
Pore Space ◽  
Flow Simulation ◽  
Accommodation Coefficient ◽  
Partial Slip ◽  
Absolute Permeability ◽  
Computational Techniques ◽  
Tangential Momentum Accommodation Coefficient ◽  
Tangential Momentum

The paper presents results of fluid flow simulation in tight rock being potentially gas-bearing formation. Core samples are under careful investigation because of the high cost of production from the well. Numerical simulations allow determining absolute permeability based on computed X-ray tomography images of the rock sample. Computational fluid dynamics (CFD) give the opportunity to use the partial slip Maxwell model for permeability calculations. A detailed 3D geometrical model of the pore space was the input data. These 3D models of the pore space were extracted from the rock sample using highly specialized software poROSE (poROus materials examination SoftwarE, AGH University of Science and Technology, Kraków, Poland), which is the product of close cooperation of petroleum science and industry. The changes in mass flow depended on the pressure difference, and the tangential momentum accommodation coefficient was delivered and used in further quantitative analysis. The results of fluid flow simulations were combined with laboratory measurement results using a gas permeameter. It appeared that for the established parameters and proper fluid flow model (partial slip model, Tangential Momentum Accommodation Coefficient (TMAC), volumetric flow rate values), the obtained absolute permeability was similar to the permeability from the core test analysis.

scholarly journals On the Motion of Small Spheres in Gases. I. General Theory

1972 ◽  
Vol 27 (12) ◽  
pp. 1798-1803 ◽  
Author(s):  
M.M.R. Williams
Keyword(s):  
Specular Reflection ◽  
Mean Free Path ◽  
Accommodation Coefficient ◽  
Spherical Particles ◽  
Surface Scattering ◽  
Scattering Rate ◽  
Tangential Momentum Accommodation Coefficient ◽  
Neutron Thermalization ◽  
Tangential Momentum ◽  
Scattering Kernel

AbstractWe have developed a global scattering kernel which describes the scattering of gas atoms by spherical particles which are small compared with a mean free path in the gas. The global kernel, which is analogous in many ways to the thermal neutron scattering kernel employed in neutron thermalization studies, is given in terms of the gas-surface scattering law for the particle. Thus the global kernel can be studied as a function of specular reflection and incomplete accommodation. The recent model of KUŠČER and of CERCIGNANI is used for the latter investigation and we find that on the average the angular distribution of the scattered gas atoms depends sensitively on the tangential momentum accommodation coefficient but only very weakly on the energy coefficient. However, the phenomenon is strongly dependent on the speed of the approaching gas atom and, for low speed gas atoms, the sensitivity to energy accommodation becomes much more important. The net scattering rate is obtained and put in a form convenient for later calculations to be described in a series of companion papers.

Simulation of Rarefied Gas Flow in Microchannel Based on Vorticity-Stream Function Method

2007 ◽  
Author(s):  
Xueyong Wei ◽  
Mike C. L. Ward ◽  
Dejiang Lu ◽  
Zhuangde Jiang
Keyword(s):  
Stream Function ◽  
Function Method ◽  
Gas Flow ◽  
Rarefied Gas ◽  
Taylor Series Expansion ◽  
Accommodation Coefficient ◽  
Parallel Plates ◽  
Slip Boundary ◽  
Tangential Momentum ◽  
New Formula

Vorticity-stream function method is successfully used to solve an incompressible gas flow in the parallel-plates micro-channel. A new formula in finite difference scheme is developed to describe the boundary vorticity based on the slip boundary theory and Taylor series expansion. Results show that the boundary vorticity are not only influenced by the Knudsen number (Kn) but also influenced by the tangential momentum accommodation coefficient (TMAC).

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