Modelling of non-Newtonian purely viscous flow through isotropic high porosity synthetic foams

A unified modelling theory for the prediction of the pressure drop of non-Newtonian purely viscous flow through isotropic high porosity synthetic foams is proposed. The model is derived by volumetrically averaging the equations of motion over an arbitrary two-phase system of stationary solids and a...

Full description

Saved in:
Bibliographic Details
Published in:Chemical engineering science 1999-03, Vol.54 (5), p.645-654
Main Authors: Smit, G.J.F., du Plessis, J.P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Flows through porous media
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Metallic foams
Non-Newtonian fluid
Non-newtonian fluid flows
Nonhomogeneous flows
Physics
Power law
Pressure drop
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A unified modelling theory for the prediction of the pressure drop of non-Newtonian purely viscous flow through isotropic high porosity synthetic foams is proposed. The model is derived by volumetrically averaging the equations of motion over an arbitrary two-phase system of stationary solids and a traversing fluid. Closure is obtained by using a formerly introduced rectangular representation of the pore space morphology. The shear rate dependency of the viscosity is incorporated through the shear stress in terms of the power-law model. The proposed model, which is based purely on physical principles with no artificial adjusting parameters, is compared to other predictive models in terms of friction factor as a function of the Reynolds number. Predicted pressure drop results are also compared to published experimental results to verify the validity of the model.
ISSN:0009-2509
1873-4405
DOI:10.1016/S0009-2509(98)00264-4