Second-order slip effects in Poiseuille flow
Abstract
The velocity distribution over the tube radius in the slip flow region is studied for Poiseuille flow between two parallel plates. A 2nd-order equation is derived and the discussion treats the general interaction potential of gas molecules and a general law on interactions of gas molecules with walls. Flow of gas through a narrow capillary tube, the BGK model for gas molecule encounters, and perfect accommodation for collisions of molecules with walls are considered, along with the Knudsen layer in the vicinity of the wall, a 3rd-order Chapman-Enskog approximation of the velocity distribution function of the gas molecules remote from the wall, and conformity of the velocity distribution in the core stream to the Navier-Stokes momentum equation
- Publication:
-
Max-Planck-Institut fuer Stroemungsforschung Goettingen 1925-1975: Publication celebrating the 50th anniversary of the Institut
- Pub Date:
- 1975
- Bibcode:
- 1975mpi..rept..255L
- Keywords:
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- Capillary Flow;
- Gas Flow;
- Laminar Flow;
- Molecular Interactions;
- Parallel Plates;
- Slip Flow;
- Chapman-Enskog Theory;
- Dynamic Models;
- Gas Dynamics;
- Knudsen Flow;
- Navier-Stokes Equation;
- Radial Distribution;
- Two Dimensional Flow;
- Velocity Distribution;
- Wall Flow;
- Fluid Mechanics and Heat Transfer