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Weak Hydraulic Jump of Power-Law Fluids in Channels With an Abrupt Deviation

Author(s): Andrea Baroni; Michele Iervolino; Luca Chiapponi; Cristiana Di Cristo; Andrea Vacca; Sandro Longo; Vittorio Di Federico

Linked Author(s): Cristiana Di Cristo, Michele Iervolino

Keywords: Hydraulic jump; Non-Newtonian power-law fluid; Abrupt deviation; Laboratory experiments; Shallow water model

Abstract: This study analyzes the characteristics of a non-Newtonian fluid flow, in which a weak hydraulic jump is generated by an abrupt planimetric channel deviation. The horizontal channel has a wide rectangular geometry with an abrupt axis deflection of θ. The variation of flow conditions appears downstream of a perturbation wave, originating in the vertex of the deflection and inclined by an angle β (Mach angle) from the wall. Laminar, incompressible flow of a power-law fluid of rheological index n and consistency K is considered. The 2D depth-integrated mass balance and momentum balance equations for gradually varied flow in a plane horizontal channel with negligible bottom shear stress are presented.

DOI:

Year: 2025

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