Abstract
The flow behaviour of Phillips et al.’s suspension model [Phys. Fluids A 4, 30 (1991)] in channel and pulsatile flows is investigated by a combination of analytical and numerical methods (using an unstructured finite volume method). In the channel flow, we found that the kinematics develop faster than the concentration, with an entrance length of 0.2H3/a2, where H is the channel half width, and a is the particles’ radius. The corresponding entrance length for the concentration is 0.5H3/a2. In time‐periodic flows, the steady‐state kinematics and the stresses are periodic in time, and yet the steady‐state concentration (and thus the viscosity) is time‐independent. This feature is perhaps a critical test of the model, and indeed of any model in which the flux is quasi‐linear in the generalized strain rate.
Published Version
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