Affiliation:
1. Dipartimento di Matematica e Informatica “Ulisse Dini,” Viale Morgagni 67/a, 50134 Firenze, Italy
Abstract
We investigate the linear stability of a flow down an incline when the fluid is modeled as a regularized Bingham-like fluid, i.e., a material whose constitutive equation is smoothed out. We perform a theoretical analysis by using the long-wave approximation method. The results show the existence of a critical condition for the onset of instability, which arises when the Reynolds number is above a critical threshold that depends on the tilt angle and on rheological parameters. The comparison of our findings with experimental studies is rather satisfactory.
Funder
Gruppo Nazionale per la Fisica Matematica
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering
Cited by
5 articles.
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