Erratum: “Kinetic Theory of Evaporation and Condensation – Hydrodynamic Equation and Slip Boundary Condition –”

1978 ◽  
Vol 45 (3) ◽  
pp. 1054-1054
Author(s):  
Yoshio Sone ◽  
Yoshimoto Onishi
Keyword(s):  
Boundary Condition ◽  
Kinetic Theory ◽  
Hydrodynamic Equation ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
Evaporation And Condensation

A kinetic-theory based first order slip boundary condition for gas flow

2007 ◽  
Vol 19 (8) ◽  
pp. 086101 ◽  
Author(s):  
Sheng Shen ◽  
Gang Chen ◽  
Robert M. Crone ◽  
Manuel Anaya-Dufresne
Keyword(s):  
Boundary Condition ◽  
Kinetic Theory ◽  
Gas Flow ◽  
Slip Boundary Condition ◽  
First Order ◽  
Slip Boundary

A Kinetic Theory-Based First-Order Slip Boundary Condition for Gas Micro/Nano-Flows with Heat Transfer

2010 ◽  
Vol 224 (11) ◽  
pp. 2390-2395 ◽  
Author(s):  
R Kamali ◽  
A Kharazmi ◽  
M Akbari
Keyword(s):  
Heat Transfer ◽  
Boundary Condition ◽  
Kinetic Theory ◽  
Slip Boundary Condition ◽  
Constant Heat Flux ◽  
Interactive Effects ◽  
Constant Wall Temperature ◽  
First Order ◽  
Slip Boundary ◽  
Thermal Boundary Conditions

A kinetic theory-based first-order slip boundary condition for micro/nano-gas flows with heat transfer is presented analytically using the Chapman—Enskog solution of the Boltzmann equation. This slip model is investigated by studying heat transfer for laminar Newtonian fluid in a Poiseuille flow. The problem is solved for two different thermal boundary conditions, namely, constant heat flux and constant wall temperature with different Knudsen numbers. The interactive effects of the Knudsen number on the Nusselt numbers are determined analytically, and for both cases, the temperature profile and the Nusselt number are compared with previous published results.

NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION

2005 ◽  
Vol 15 (03) ◽  
pp. 343-374 ◽  
Author(s):  
GUY BAYADA ◽  
NADIA BENHABOUCHA ◽  
MICHÈLE CHAMBAT
Keyword(s):  
Boundary Condition ◽  
Friction Coefficient ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Micropolar Fluid ◽  
Reynolds Equation ◽  
Slip Boundary Condition ◽  
Slip Boundary ◽  
New Models ◽  
Uniqueness Of The Solution

A thin micropolar fluid with new boundary conditions at the fluid-solid interface, linking the velocity and the microrotation by introducing a so-called "boundary viscosity" is presented. The existence and uniqueness of the solution is proved and, by way of asymptotic analysis, a generalized micropolar Reynolds equation is derived. Numerical results show the influence of the new boundary conditions for the load and the friction coefficient. Comparisons are made with other works retaining a no slip boundary condition.

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