Flow of granular materials with slip boundary condition: A continuum–kinetic theory approach

2014 ◽  
Vol 242 ◽  
pp. 518-527
Author(s):  
Xinran Zhao ◽  
Mehrdad Massoudi
Keyword(s):  
Boundary Condition ◽  
Kinetic Theory ◽  
Granular Materials ◽  
Slip Boundary Condition ◽  
Theory Approach ◽  
Slip Boundary

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.

Sign in / Sign up

Export Citation Format

Share Document