It is important to understand in which circumstances the suspension of particles leads to significant velocity enhancements in turbulent flows. Assuming the validity of the Kolmogorov-Barenblatt model for turbulent flows loaded by small particles, we show that this occurs in the regime of limiting saturation, when the flow suspends as many particles as the given external conditions allow. In addition we consider the consequences of the presence of arbitrarily small particles. We discuss in detail the application of the model to suspended droplets in hurricanes above the ocean.

Bertsch, M. (2022). Saturation of turbulent flow by suspended particles: a mathematical model. PURE AND APPLIED FUNCTIONAL ANALYSIS, 7(1), 53-80.

Saturation of turbulent flow by suspended particles: a mathematical model

M. Bertsch
2022-01-01

Abstract

It is important to understand in which circumstances the suspension of particles leads to significant velocity enhancements in turbulent flows. Assuming the validity of the Kolmogorov-Barenblatt model for turbulent flows loaded by small particles, we show that this occurs in the regime of limiting saturation, when the flow suspends as many particles as the given external conditions allow. In addition we consider the consequences of the presence of arbitrarily small particles. We discuss in detail the application of the model to suspended droplets in hurricanes above the ocean.
2022
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Bertsch, M. (2022). Saturation of turbulent flow by suspended particles: a mathematical model. PURE AND APPLIED FUNCTIONAL ANALYSIS, 7(1), 53-80.
Bertsch, M
Articolo su rivista
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/325704
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact