THE SLOW MOTION OF A SPHERICAL-PARTICLE IN A CARREAU FLUID

The drag on a spherical particle is studied for two limiting cases, na mely for the rigid sphere and for the bubble. An approximate solution is found for creeping flow around a particle suspended in a shear-thin ning fluid. The three parameter Carreau model is used to represent the suspending liquid. The drag force on the particle for both cases is c alculated by a perturbation method around the Newtonian solution in th e limit of small Carreau number. The resulting expressions are found t o be dependent on the Carreau number and on the power-law index.