Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7061083 | Journal of Non-Newtonian Fluid Mechanics | 2018 | 14 Pages |
Abstract
This work presents a numerical study on the development length (L=L/H) required to reach fully-developed flow conditions at the entrance of a planar channel for inelastic non-Newtonian fluids modeled by the Sisko model. The simulations were carried out for low Reynolds number flows in the range 0â¯<â¯Reâ¯â¤â¯100, for a power law index, n, in the range 1/3â¯â¤â¯nâ¯â¤â¯1 and for a dimensionless infinite viscosity, μ¯â, varying in the range 0â¤Î¼Â¯ââ¤0.1. A new non-linear relationship between L and Re was derived, taking into account the different values of n and μ¯â. Moreover, new exact solutions are presented for the velocity profile under fully developed flow conditions (for specific values of n).
Keywords
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Fluid Flow and Transfer Processes
Authors
C. Fernandes, L.L. Ferrás, M.S. Araujo, J.M. Nóbrega,