Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the pipes’ geometry, the physics of the problem suggests how to single out a solution. On this basis, we present a definition of solution for a general BV geometry and prove an existence result, consistent with a limiting procedure from piecewise constant geometries. In the case of a smoothly curved pipe we thus justify the appearance of the curvature in the source term of the linear momentum equation. These results are obtained as consequences of a general existence result devoted to abstract balance laws with non conservative source terms in the non resonant case.

Colombo, R., Guerra, G., Holle, Y. (2022). Non conservative products in fluid dynamics. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 66(August 2022) [10.1016/j.nonrwa.2022.103539].

Non conservative products in fluid dynamics

Guerra, G;
2022

Abstract

Fluid flow in pipes with discontinuous cross section or with kinks is described through balance laws with a non conservative product in the source. At jump discontinuities in the pipes’ geometry, the physics of the problem suggests how to single out a solution. On this basis, we present a definition of solution for a general BV geometry and prove an existence result, consistent with a limiting procedure from piecewise constant geometries. In the case of a smoothly curved pipe we thus justify the appearance of the curvature in the source term of the linear momentum equation. These results are obtained as consequences of a general existence result devoted to abstract balance laws with non conservative source terms in the non resonant case.
Articolo in rivista - Articolo scientifico
Balance laws with measure source term; Fluid flows in pipes; Non conservative products in balance laws;
English
23-feb-2022
2022
66
August 2022
103539
partially_open
Colombo, R., Guerra, G., Holle, Y. (2022). Non conservative products in fluid dynamics. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 66(August 2022) [10.1016/j.nonrwa.2022.103539].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/395014
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