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

Long-wave instability of a regularized Bingham flow down an incline / Calusi, B.; Farina, A.; Fusi, L.; Rosso, F.. - In: PHYSICS OF FLUIDS. - ISSN 1070-6631. - ELETTRONICO. - 34:(2022), pp. 0-0. [10.1063/5.0091260]

Long-wave instability of a regularized Bingham flow down an incline

Calusi, B.
;
Farina, A.;Fusi, L.;Rosso, F.
2022

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
2022
34
0
0
Calusi, B.; Farina, A.; Fusi, L.; Rosso, F.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1269986
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