The so-called Stokes’ hypothesis for a Newtonian fluid is reconsidered and a possible explanation is given of the fact that, in spite of its apparently weak physical justification, it permits to obtain good results for the description of most compressible flows. The explanation stands upon a closer analysis of the effect of the terms of the complete stress tensor in which the viscosity coefficients appear. An alternative formulation of the hypothesis is proposed, which also permits to clearly identify the very particular flow conditions in which it cannot justify the experimental evidence.
A note on Stokes’ hypothesis
BURESTI, GUIDO
2015-01-01
Abstract
The so-called Stokes’ hypothesis for a Newtonian fluid is reconsidered and a possible explanation is given of the fact that, in spite of its apparently weak physical justification, it permits to obtain good results for the description of most compressible flows. The explanation stands upon a closer analysis of the effect of the terms of the complete stress tensor in which the viscosity coefficients appear. An alternative formulation of the hypothesis is proposed, which also permits to clearly identify the very particular flow conditions in which it cannot justify the experimental evidence.File in questo prodotto:
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