Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-09-15
Kin. Rel. Mod. 4, 361-384 (2011)
Physics
Condensed Matter
Statistical Mechanics
24 pages, 5 figures; v2: discussion on boundary conditions added; 10 additional references. Published in a special issue of th
Scientific paper
10.3934/krm.2011.4.361
The steady state of a dilute gas enclosed between two infinite parallel plates in relative motion and under the action of a uniform body force parallel to the plates is considered. The Bhatnagar-Gross-Krook model kinetic equation is analytically solved for this Couette-Poiseuille flow to first order in the force and for arbitrary values of the Knudsen number associated with the shear rate. This allows us to investigate the influence of the external force on the non-Newtonian properties of the Couette flow. Moreover, the Couette-Poiseuille flow is analyzed when the shear-rate Knudsen number and the scaled force are of the same order and terms up to second order are retained. In this way, the transition from the bimodal temperature profile characteristic of the pure force-driven Poiseuille flow to the parabolic profile characteristic of the pure Couette flow through several intermediate stages in the Couette-Poiseuille flow are described. A critical comparison with the Navier-Stokes solution of the problem is carried out.
Santos Andrés
Tij Mohamed
No associations
LandOfFree
Non-Newtonian Couette-Poiseuille flow of a dilute gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-Newtonian Couette-Poiseuille flow of a dilute gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Newtonian Couette-Poiseuille flow of a dilute gas will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-77147