Effect of a boundary condition on the cylindrical Couette flow of a rarefied gas

2014 ◽  
Author(s):  
Shingo Kosuge
Keyword(s):  
Boundary Condition ◽  
Couette Flow ◽  
Rarefied Gas ◽  
Cylindrical Couette Flow

THE INFLUENCE OF SLIP AND JUMP BOUNDARY CONDITIONS ON THE CYLINDRICAL COUETTE FLOW

2002 ◽  
Vol 12 (03) ◽  
pp. 445-459 ◽  
Author(s):  
LILIANA M. GRAMANI CUMIN ◽  
GILBERTO M. KREMER ◽  
FELIX SHARIPOV
Keyword(s):  
Angular Velocity ◽  
Boundary Conditions ◽  
Couette Flow ◽  
Rarefied Gas ◽  
Thermodynamic Force ◽  
Heat Conducting ◽  
Field Equations ◽  
Viscous Stress Tensor ◽  
Heat Flux Vector ◽  
Cylindrical Couette Flow

The solution of the field equations of the cylindrical Couette flow problem for a rarefied gas is found when the state of equilibrium between the cylinders is perturbed by the following small thermodynamic forces: (i) a pressure difference; (ii) an angular velocity difference; and (iii) a temperature difference. The flow is analyzed within the framework of continuum mechanics by using the field equations that follow from the balance equations of mass, momentum and energy of a viscous and heat conducting gas. These equations are solved analytically by considering slip and jump boundary conditions. The fields of density, velocity, temperature, heat flux vector and viscous stress tensor are calculated as functions of the Knudsen number and of the angular velocity of the rotating cylinders for each thermodynamic force. The asymptotic behaviors of these fields are compared with those obtained from a kinetic model of the Boltzmann equation. The influence of the slip and jump boundary conditions on the solutions is also discussed.

Cylindrical Couette Flow of a Rarefied Gas

1967 ◽  
Vol 10 (6) ◽  
pp. 1200 ◽  
Author(s):  
Carlo Cercignani
Keyword(s):  
Couette Flow ◽  
Rarefied Gas ◽  
Cylindrical Couette Flow

The cylindrical couette flow of a rarefied gas consisting of charged particles inside walls with arbitrary reflection coefficients

1991 ◽  
Vol 69 (12) ◽  
pp. 1429-1440
Author(s):  
M. A. Mahmoud ◽  
G. A. Shalaby
Keyword(s):  
Shear Stress ◽  
Distribution Function ◽  
Reflection Coefficient ◽  
Couette Flow ◽  
Method Of Moments ◽  
Rarefied Gas ◽  
Charged Particles ◽  
Reflection Coefficients ◽  
Model Kinetic Equation ◽  
Cylindrical Couette Flow

A kinetic-theory treatment of the cylindrical Couette flow is considered. A generalization of the case of a surface with an arbitrary reflection coefficient that depends on the nature of the surface. In this paper we consider that the reflection coefficients of the inner and outer walls are different. A model kinetic equation of the BGK (Bhatnger–Gross–Krook) type is solved using the method of moments with a two-sided distribution function. The dependence of the velocity and shear stress on the reflection coefficient is obtained.

Cylindrical Couette Flow of Rarefied Gas: Comparison between Navier-Stokes and DSMC Computations

2010 ◽  
Author(s):  
P. Gospodinov ◽  
D. Dankov ◽  
V. Roussinov ◽  
S. Stefanov ◽  
Michail D. Todorov ◽  
...  
Keyword(s):  
Couette Flow ◽  
Rarefied Gas ◽  
Navier Stokes ◽  
Cylindrical Couette Flow

Modeling of Cylindrical Couette Flow of Rarefied Gas. The Case of Rotating Outer Cylinder

2009 ◽  
Author(s):  
P. Gospodinov ◽  
D. Dankov ◽  
V. Roussinov ◽  
S. Stefanov ◽  
Michail D. Todorov ◽  
...  
Keyword(s):  
Couette Flow ◽  
Rarefied Gas ◽  
Outer Cylinder ◽  
Cylindrical Couette Flow

scholarly journals Inverted velocity profile in the cylindrical Couette flow of a rarefied gas

2003 ◽  
Vol 68 (1) ◽  
Author(s):  
Kazuo Aoki ◽  
Hiroaki Yoshida ◽  
Toshiyuki Nakanishi ◽  
Alejandro L. Garcia
Keyword(s):  
Velocity Profile ◽  
Couette Flow ◽  
Rarefied Gas ◽  
Cylindrical Couette Flow
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