Fluid particle dynamics

The terminal velocity of a particle is a constant value of velocity reached when all forces (gravity, drag, buoyancy, etc.) acting on the particle are balanced. The sum of all the forces is then equal to zero (no acceleration). To calculate this velocity, a dimensionless constant K determines the appropriate range of the fluid-particle dynamic laws that apply ... 

To calculate the terminal settling velocity of the particle, the K value (see Problem FPD.4) must be used to determine the appropriate range of the fluid-particle dynamic laws. K is obtained from... 

G5b. Goldman, A. J., Cox, R. G., and Brenner, H., Slow viscous motion of two identical arbitrarily oriented spheres through a viscous fluid. Chem. Eng. Sci. (in press) see also Goldman, A. J., Investigations in low Reynolds number fluid-particle dynamics. Ph.D. Dissertation, New York University, New York, 1966. 

Tanaka, H. and Araki, T., Simulation method of colloidal suspensions with hydrodynamic interactions fluid particle dynamics, Phys. Rev. Lett., 85 (6), 1338 1341, 2000. 

Johannessen T, Pratsinis SE, Livbjerg H. Computational fluid-particle dynamics for the flame synthesis of alumina particles. Chem Eng Sci 2000 55 177-88. 

Capecelatro J, Desjardins O, Fox RO On fluid-particle dynamics in fully developed cluster-induced turbulence, 1 EZuid Mech 780 578-635, 2015. http //dx.doi.org/10.1017/jfm. 2015.459. 

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