A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
Tóm tắt
A calculation is given of the viscous force, exerted by a flowing fluid on a dense swarm of particles. The model underlying these calculations is that of a spherical particle embedded in a porous mass. The flow through this porous mass is decribed by a modification of Darcy's equation. Such a modification was necessary in order to obtain consistent boundary conditions. A relation between permeability and particle size and density is obtained. Our results are compared with an experimental relation due to Carman.
Tài liệu tham khảo
J. M. Burgers, Proc. roy. Acad. Amsterdam44, 1045, 1177, 1941;45, 9, 126, 1942.
H. Darcy, Les fontaines publiques de la ville de Dijon (1856). Cf. M. Muskat, The flow of homogeneous fluids through porous media (New York 1937).
A. Einstein, Ann. Physik.19, 289, 1906;34, 591, 1911.
W. Carman, Trans. Inst. Chem. Engrs.15, 150, 1937.