화학공학소재연구정보센터
Chemical Engineering Journal, Vol.139, No.2, 224-235, 2008
Drag on ensembles of fluid spheres translating in a power-law liquid at moderate Reynolds numbers
This work elucidates the role of power-law rheology on the sedimentation velocity of an ensemble of mono-size spherical Newtonian droplets (free from surfactants) translating in a power-law continuous phase numerically by solving the momentum equations of both phases. A simple sphere-in-sphere cell model has been used to account for inter-drop interactions. In particular, in this study. the effects of the Reynolds number (Re-o), the internal. to external fluid characteristic viscosity ratio (k), the volume fraction of the dispersed phase (Phi) and the power-law index of the continuous phase (n(o)) on the external flow field, pressure drag (C-dp), friction drag (C-df) and total drag (C-d) coefficients have been analyzed over wide ranges of parameters as follows: 1 <= Re-o <= 200, 0.1 <= k <= 50, 0.2 <= Phi <= 0.6 and 0.6 <= n(o) <= 1.6. Based on the,extensive numerical results obtained in this work, a simple predictive correlation has been proposed for tile total drag coefficient, which can be used to predict the rate of sedimentation of ensembles of Newtonian fluid spheres in power-law liquids in a new application. (C) 2007 Elsevier B.V. All rights reserved.