Heat flow and temperature and density distributions in a rarefied gas between parallel plates with different temperatures. Finite‐difference analysis of the nonlinear Boltzmann equation for hard‐sphere molecules

1996 ◽  
Vol 8 (8) ◽  
pp. 2153-2160 ◽  
Author(s):  
Taku Ohwada
Keyword(s):  
Boltzmann Equation ◽  
Heat Flow ◽  
Finite Difference ◽  
Hard Sphere ◽  
Rarefied Gas ◽  
Parallel Plates ◽  
Nonlinear Boltzmann Equation ◽  
Difference Analysis ◽  
Density Distributions ◽  
Different Temperatures

Finite Difference Analysis of Time-Dependent Viscous Nanofluid Flow Between Parallel Plates

2019 ◽  
Vol 71 (11) ◽  
pp. 1293 ◽  
Author(s):  
Salman Ahmad ◽  
T. Hayat ◽  
A. Alsaedi ◽  
Z. H. Khan ◽  
M. Waleed Ahmed Khan
Keyword(s):  
Finite Difference ◽  
Time Dependent ◽  
Parallel Plates ◽  
Nanofluid Flow ◽  
Difference Analysis ◽  
Finite Difference Analysis

scholarly journals Higher order moment equations for rarefied gas mixtures

2015 ◽  
Vol 471 (2173) ◽  
pp. 20140754 ◽  
Author(s):  
Vinay Kumar Gupta ◽  
Manuel Torrilhon
Keyword(s):  
Rarefied Gas ◽  
Gas Mixtures ◽  
Order Moment ◽  
Gas Mixture ◽  
Parallel Plates ◽  
Moment Equations ◽  
Maxwell Molecules ◽  
Ideal Gases ◽  
Binary Gas Mixture ◽  
Different Temperatures

The fully nonlinear Grad's N ×26-moment ( N × G 26) equations for a mixture of N monatomic-inert-ideal gases made up of Maxwell molecules are derived. The boundary conditions for these equations are derived by using Maxwell's accommodation model for each component in the mixture. The linear stability analysis is performed to show that the 2×G26 equations for a binary gas mixture of Maxwell molecules are linearly stable. The derived equations are used to study the heat flux problem for binary gas mixtures confined between parallel plates having different temperatures.

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