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On the Entrainment Coefficient in a Forced Plume: Quantitative Effects of Source Parameters : Volume 21, Issue 1 (24/02/2014)

By Matulka, A.

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Book Id: WPLBN0003991937
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: On the Entrainment Coefficient in a Forced Plume: Quantitative Effects of Source Parameters : Volume 21, Issue 1 (24/02/2014)  
Author: Matulka, A.
Volume: Vol. 21, Issue 1
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Tarquis, A., López, P., Redondo, J. M., & Matulka, A. (2014). On the Entrainment Coefficient in a Forced Plume: Quantitative Effects of Source Parameters : Volume 21, Issue 1 (24/02/2014). Retrieved from

Description: Department of Applied Physics, UPC, Barcelona, Spain. The behavior of a forced plume is mainly controlled by the source buoyancy and momentum fluxes and the efficiency of turbulent mixing between the plume and the ambient fluid (stratified or not). The interaction between the plume and the ambient fluid controls the plume dynamics and is usually represented by the entrainment coefficient ΑE. Commonly used one-dimensional models incorporating a constant entrainment coefficient are fundamental and very useful for predictions in geophysical flows and industrial situations. Nevertheless, if the basic geometry of the flow changes, or the type of source or the environmental fluid conditions (e.g., level of turbulence, shear, ambient stratification, presence of internal waves), new models allowing for variable entrainment are necessary. The presented paper is an experimental study based on a set of turbulent plume experiments in a calm unstratified ambient fluid under different source conditions (represented by different buoyancy and momentum fluxes). The main result is that the entrainment coefficient is not a constant and clearly varies in time within the same plume independently of the buoyancy and the source position. This paper also analyzes the influence of the source conditions on the mentioned time evolution. The measured entrainment coefficient ΑE has considerable variability. It ranges between 0.26 and 0.9 for variable Atwood number experiments and between 0.16 and 0.55 for variable source position experiments. As is observed, values are greater than the traditional standard value of Morton et al. (1956) for plumes and jets, which is about 0.13.

On the entrainment coefficient in a forced plume: quantitative effects of source parameters

Carazzo, G., Kaminski, E., and Tait, S.: The route to self-similarity in turbulent jets and plumes, J. Fluid. Mech., 547, 137–148, 2006.; Carazzo, G., Kaminski, E., and Tait, S.: On the rise of turbulent plumes: Quantitative effects of variable entrainment for submarine hydrothermal vents, terrestrial and extra terrestrial explosive volcanism, J. Geophys. Res., 113, 1–19, 2008.; Fischer, H. B., List, E. J., Koh, R. C., Imberger, J., and Brooks, N. H.: Mixing in inland and coastal waters, Academic Press Inc. (London) Ltd., 1979.; Frick, W. E.: Non-empirical closure of the plume equations, Atmos. Environ., 18, 653–662, 1984.; Houghton, H. G. and Cramer, H. E.: A theory of entrainment in convective currents, J. Meteorol., 8, 95–102, 1951.; Hunt, G. R. and Kaye, N. G.: Virtual origin correction for lazy turbulent plumes, J. Fluid. Mech., 435, 377–396, 2001.; Landel, J. R., Caulfield, C. P., and Woods, A.: Meandering due to large eddies and the statistically self-similar dynamics of quasi-two-dimensional jets, J. Fluid Mech., 692, 347–368, 2012.; Lee, J. H. W. and Chu, V. H.: Turbulent jets and plumes: A lagrangian approach, Kluwer Academic Publishers, the Netherlands, 2003.; List, E. J.: Turbulent jets and plumes, Annu. Rev. Fluid Mech. 14, 189–212, 1982.; López, P.: Turbulent mixing by gravitational convection: experimental modelling and application to atmospheric situations, Ph.D. thesis, Complutense University of Madrid, Spain, 2004.; López, P., Cano, J. L., and Redondo, J. M.: An experimental model of mixing processes generated by an array of top-heavy turbulent plumes, Il Nuovo Cimento, 31 C, 679–698, 2008.; Mahjoub, O. B., Redondo, J. M., and Babiano, A.: Structure functions in complex flows, Appl. Sci. Res., 59, 299–313, 1998.; Matulka, A., Redondo, J. M., and Carrillo, A.: Experiments in stratified and rotating decaying 2D flows, Il Nuovo Cimento, 31 C, 757–770, 2008.; Morton, B. R.: Forced plumes, J. Fluid Mech., 5, 151–163, 1959.; Kaminski, E., Tait, S., And Carazzo, G.: Turbulent entraiment in jets with arbitrary buoyancy, J. Fluid. Mech., 526, 361–376, 2005.; Morton, B. R.: The choice of conservation equations for plume models, J. Geophys. Res., 30, 7409–7416, 1971.; Morton, B. R., Taylor, G. I., and Turner, J. S.: Turbulent gravitational convection from maintained and instantaneous sources, P. Roy. Soc. Lond. A Mat., 234, 1–23, 1956.; Nielsen, P. V.: Displacement ventilation-theory and design, Ph.D. thesis, Aalborg University, Aalborg, Denmark, 1993.; Redondo, J. M., Fernando, J. H., And Pares, S.: Cloud entrainment by internal or external turbulence, in: Mixing in Geophysical Flows, edited by: Redondo, J. M. and Metais, O., CIMNE, Barcelona, 1995.; Redondo, J. M. and Yagüe, C.: Plume entrainment in stratified flows, in: Recent advances in the fluid mechanics of turbulent jets and plumes, edited by: Davies, P. A. and Valente-Neves, M. J., NATO ASI Series E: Applied Sciences, 255, 209–222, 1994.; Squires, P. and Turner, J. S.: An entraining jet model for cumulo-nimbus updraughts, Tellus, XIV, 422–434, 1962.; Sreenivas, K. R. and Prasap, A. K.: Vortex dynamics model for entrainment in jets and plumes, Phys. Fluids, 12, 2101, doi:10.1063/1.870455, 2000.; Stommel, H.: Entrainment of air into a cumulus cloud, J. Meteorol., 4, 91–94, 1947.; Tate, P. M.: The rise and dilution of buoyant jets and their behaviour in an internal wave field, Ph.D. thesis, University of New South Wales, Sydney, Australia, 2002.; Turner, J. S.: The starting plume in neutral surroundings, J. Fluid. Mech., 13, 356–368, 1962.; Turner, J. S.: Turbulent entrainment: the development of the entrainment assumption and its application to geophysical flows, J. Fluid Mech., 173, 431–471, 1986.; Vindel, J. M., Yagüe, C., and Redondo, J. M.: Relationship between intermittency and stratfication, Il Nuovo Cimento, 31 C, 669–678, 2008.; Wright, S.: Buoyant jets in density-stratified crossflow, J. Hydraul


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