Influence of gravity on nonlinear transport in the planar Couette flow

1999 ◽  
Vol 11 (4) ◽  
pp. 893-904 ◽  
Author(s):  
Mohamed Tij ◽  
Vicente Garzó ◽  
Andrés Santos
Keyword(s):  
Couette Flow ◽  
Nonlinear Transport ◽  
Planar Couette Flow

A theorem on stability of a planar Couette flow

1989 ◽  
Vol 41 (11) ◽  
pp. 1328-1335
Author(s):  
V. M. Solopenko
Keyword(s):  
Couette Flow ◽  
Planar Couette Flow

Fluid n‐decane undergoing planar Couette flow

1992 ◽  
Vol 97 (10) ◽  
pp. 7687-7694 ◽  
Author(s):  
Paz Padilla ◽  
So/ren Toxvaerd
Keyword(s):  
Couette Flow ◽  
Planar Couette Flow

Planar Couette Flow in a Single Gas

2003 ◽  
pp. 213-270
Author(s):  
Vicente Garzó ◽  
Andrés Santos
Keyword(s):  
Couette Flow ◽  
Planar Couette Flow

Nonlinear transport coefficients and plane Couette flow of a viscous, heat-conducting gas between two plates at different temperatures

1987 ◽  
Vol 65 (9) ◽  
pp. 1090-1103 ◽  
Author(s):  
Byung Chan Eu ◽  
Roger E. Khayat ◽  
Gert D. Billing ◽  
Carl Nyeland
Keyword(s):  
Boltzmann Equation ◽  
Couette Flow ◽  
Transport Coefficients ◽  
Heat Conducting ◽  
Hydrodynamic Equations ◽  
Nonlinear Transport ◽  
Plane Couette Flow ◽  
The Boltzmann Equation ◽  
Viscous Heat ◽  
Different Temperatures

By using the example of plane Couette flow between two plates maintained at different temperatures, we present a method of calculating flow profiles for rarefied gases. In the method, generalized hydrodynamic equations are derived from the Boltzmann equation. They are then solved with boundary conditions calculated by taking into consideration the interfacial interaction between the surface and the gas molecule. The nonlinear transport coefficients employed in the generalized hydrodynamic equations are obtained from the Boltzmann equation by means of the modified-moment method. The profiles calculated are in agreement with the Liu–Lees theory as long as the boundary values are in agreement. It is found that the viscous-heating effect has a significant influence on the temperature and velocity profiles. The nonlinearity of transport coefficients also has significant effects on the profiles as the Knudsen and Mach numbers increase.

scholarly journals Nonlinear Response to Steady and Oscillating Planar Couette Flow

1996 ◽  
Vol 18 (1-2) ◽  
pp. 59-74
Author(s):  
Annino L. Vaccarella ◽  
Gary P. Morriss
Keyword(s):  
Couette Flow ◽  
Nonlinear Response ◽  
Planar Couette Flow

Vorticity generation and conservation for two-dimensional interfaces and boundaries

2014 ◽  
Vol 758 ◽  
pp. 63-93 ◽  
Author(s):  
M. Brøns ◽  
M. C. Thompson ◽  
T. Leweke ◽  
K. Hourigan
Keyword(s):  
Free Surface ◽  
Circular Cylinder ◽  
Couette Flow ◽  
Poiseuille Flow ◽  
Vortex Sheet ◽  
Newtonian Fluids ◽  
Two Dimensional ◽  
Two Fluids ◽  
Vorticity Generation ◽  
Planar Couette Flow

AbstractThe generation, redistribution and, importantly, conservation of vorticity and circulation is studied for incompressible Newtonian fluids in planar and axisymmetric geometries. A generalised formulation of the vorticity at the interface between two fluids for both no-slip and stress-free conditions is presented. Illustrative examples are provided for planar Couette flow, Poiseuille flow, the spin-up of a circular cylinder, and a cylinder below a free surface. For the last example, it is shown that, although large imbalances between positive and negative vorticity appear in the wake, the balance is found in the vortex sheet representing the stress-free surface.

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