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Transition to the buoyancy-dominated regime in a planar temporal forced plume

Published online by Cambridge University Press:  14 February 2025

L. Puggioni Open the ORCID record for L. Puggioni [Opens in a new window] ,
G. Boga ,
A. Cimarelli Open the ORCID record for A. Cimarelli [Opens in a new window] ,
M. Crialesi Esposito Open the ORCID record for M. Crialesi Esposito [Opens in a new window] ,
S. Musacchio ,
E. Stalio Open the ORCID record for E. Stalio [Opens in a new window]  and
G. Boffetta Open the ORCID record for G. Boffetta [Opens in a new window]
L. Puggioni*
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, via Pietro Giuria 1, 10125 Torino, Italy Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
G. Boga
Affiliation:
Dipartimento di Ingegneria ‘Enzo Ferrari’, Università di Modena e Reggio Emilia, via Vivarelli 10, 41125 Modena, Italy
A. Cimarelli
Affiliation:
Dipartimento di Ingegneria ‘Enzo Ferrari’, Università di Modena e Reggio Emilia, via Vivarelli 10, 41125 Modena, Italy
M. Crialesi Esposito
Affiliation:
Dipartimento di Ingegneria ‘Enzo Ferrari’, Università di Modena e Reggio Emilia, via Vivarelli 10, 41125 Modena, Italy
S. Musacchio
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, via Pietro Giuria 1, 10125 Torino, Italy
E. Stalio
Affiliation:
Dipartimento di Ingegneria ‘Enzo Ferrari’, Università di Modena e Reggio Emilia, via Vivarelli 10, 41125 Modena, Italy
G. Boffetta
Affiliation:
Dipartimento di Fisica and INFN, Università di Torino, via Pietro Giuria 1, 10125 Torino, Italy
*
†Email address for correspondence: [email protected]
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Abstract

We study the transition from the momentum- to buoyancy-dominated regime in temporal jets forced by gravity. From the conservation of the thermal content and of the volume flux, we develop a simple model which is able to describe accurately the transition between the two regimes in terms of a single parameter representing the entrainment coefficient. Our analytical results are validated against a set of numerical simulations of temporal planar forced plumes at different initial values of Reynolds and Froude numbers. We find that, although the the pure jet-scaling law is not clearly observed in simulations at finite Froude number, the model correctly describes the transition to the buoyancy-dominated regime which emerges at long times.

JFM classification

Turbulent Flows: Turbulent convection Mixing: Turbulent mixing Wakes/Jets: Buoyant jets
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1002 , 10 January 2025 , A43
Copyright
© The Author(s), 2025. Published by Cambridge University Press

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