Multiphase kinetic theory with rotation

Multiphase kinetic theory has been generalized to include rotation of particles with unequal masses and diameters. New collision integrals with rotational dissipation were evaluated. Inelastic binary collisions of particles with normal and tangential restitution coefficients are considered. The rotation did not change the expressions for particle viscosity and conductivity previously derived by Huilin et al. (2001), with corrections and extensions by Rahaman et al. (2003), and Iddir et al. (2005). Collision integrals produced new expressions for energy dissipation involving tangential and normal restitution coefficients.;For Poiseuille Flow Approximation granular temperatures of 530 and 156 micron glass beads flowing in IIT two story riser matched the experimentally measured profiles of granular temperatures using a particle image velocity technique without rotation and redo with rotation to compare the measurements done by Singh (2003) at ITT. The measured and the computed particle concentration profiles were nearly flat in the central portion of the riser without rotation. Computations show that rotation can alter these profiles. Sufficient particle spin can drive the particles to concentrate near the center of the tube. The binary mixture viscosity was computed.;This study is a part of the NETL multiphase flow science consortium. It is expected that the new expressions for rotational energy dissipation will eventually be programmed into the NETL MFIX code and into a similar IIT code. At NETL Frank Shaffer has developed a High Speed Particle Imaging Technique for measuring rotation of particles in a riser.;The multiphase kinetic theory was applied to transport of particles such as, proteins, flowing in blood vessels. The shear dependent diffusion coefficients of Bovine Serum Albumin (BSA) flowing in a tube containing various concentrations of ghost red blood cells were computed using the new theory. The computed diffusion coefficients match the experimentally measured values obtained at IIT by Cha, and Beissinger (2001).