Instabilities of a power–law film over an inclined permeable plane: A two–sided model

Iervolino, Michele; Pascal, J. P.; Vacca, Andrea

doi:10.1016/j.jnnfm.2018.03.011

Cited by 18 publications

(2 citation statements)

References 31 publications

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“…where D ij is the i j-term of the Chebyshev collocation derivative matrix [49], and η j the value of the apparent viscosity pertaining to the y j grid point. In order to deal with the unbounded shear stress gradients associated with the non-Newtonian power-law model, we have adjusted the power-law model by replacing the apparent viscosity ν app as follows [51][52][53]:…”

Section: Numerical Solution Of the Velocity Distributionmentioning

confidence: 99%

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Pulsating Flow of an Ostwald—De Waele Fluid between Parallel Plates

González

Tamburrino

Vacca

et al. 2020

Water

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The flow between two parallel plates driven by a pulsatile pressure gradient was studied analytically with a second-order velocity expansion. The resulting velocity distribution was compared with a numerical solution of the momentum equation to validate the analytical solution, with excellent agreement between the two approaches. From the velocity distribution, the analytical computation of the discharge, wall shear stress, discharge, and dispersion enhancements were also computed. The influence on the solution of the dimensionless governing parameters and of the value of the rheological index was discussed.

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Section: Numerical Solution Of the Velocity Distributionmentioning

confidence: 99%

“…The wall shear stress is given by Equation (52). Due to the cumbersome structure of the relationship, it was not feasible to determine analytically some characteristics like the mean, maximum, and minimum values of the wall shear stress.…”

Section: Wall Shear Stressmentioning

confidence: 99%