Modelling the flow of power law fluids in a packed bed using a volume-averaged equation of motion |
| |
Authors: | R E Hayes A Afacan B Boulanger A V Shenoy |
| |
Institution: | (1) Department of Chemical Engineering, University of Alberta, T6G 2G6 Edmonton, Alberta, Canada;(2) Department of Energy and Mechanical Engineering, Shizouka University, 3-5-1 Johaku, 432 Hamamatsu, Japan;(3) Present address: 5, Basera, 411 037 Bibwewadi, Pune, India |
| |
Abstract: | The development of a theoretical model for the prediction of velocity and pressure drop for the flow of a viscous power law fluid through a bed packed with uniform spherical particles is presented. The model is developed by volume averaging the equation of motion. A porous microstructure model based on a cell model is used. Numerical solution of the resulting equation is effected using a penalty Galerkin finite element method. Experimental pressure drop values for dilute solutions of carboxymethylcellulose flowing in narrow tubes packed with uniformly sized spherical particles are compared to theoretical predictions over a range of operating conditions. Overall agreement between experimental and theoretical values is within 15%. The extra pressure drop due to the presence of the wall is incorporated directly into the model through the application of the no-slip boundary condition at the container wall. The extra pressure drop reaches a maximum of about 10% of the bed pressure drop without wall effect. The wall effect increases as the ratio of tube diameter to particle diameter decreases, as the Reynolds number decreases and as the power law index increases. |
| |
Keywords: | non-Newtonian fluid packed bed pressure drop |
本文献已被 SpringerLink 等数据库收录! |
|