Slow viscous flows in micropolar fluids
- 1 May 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 61 (5) , 5477-5492
- https://doi.org/10.1103/physreve.61.5477
Abstract
A systematic calculation of micropolar fluid flows around a sphere and a cylinder is presented. The explicit velocity fields and the drag forces exerted by the fluid flow in both two and three dimensions are obtained. The solution of a steady micropolar fluid flow inside the cylinder is also obtained and is identical to the form observed in an experiment on granular vibrating beds.Keywords
This publication has 67 references indexed in Scilit:
- Homogeneous cooling state of a low-density granular flowPhysical Review E, 1996
- Model kinetic equation for low-density granular flowPhysical Review E, 1996
- An explanation for the central stress minimum in sand pilesNature, 1996
- Theory of thermo-microstretch fluids and bubbly liquidsInternational Journal of Engineering Science, 1990
- A new theory of the instability of a uniform fluidized bedJournal of Fluid Mechanics, 1988
- The stress tensor in a granular flow at high shear ratesJournal of Fluid Mechanics, 1981
- Perturbation Method in Fluid MechanicsJournal of Applied Mechanics, 1976
- Two problems in the gravity flow of granular materialsJournal of Fluid Mechanics, 1971
- Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinderJournal of Fluid Mechanics, 1957
- A new method of solving Oseen’s equations and its application to the flow past an inclined elliptic cylinderProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1954