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A volumetrically heated jet: large-eddy structure and entrainment characteristics

Published online by Cambridge University Press:  26 April 2006

G. S. Bhat
Affiliation:
Centre for Atmospheric Sciences, Indian Institute of Science, Bangalore 560 012, India
R. Narasimha
Affiliation:
Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore 560 094, India

Abstract

We report here an experimental study of a round vertical liquid jet that, after achieving a self-preserving state, is subjected to volumetric heating between two diametral stations. The heat injection is achieved by applying a voltage across the stations, the jet fluid having been rendered electrically conducting by the addition of acid. Using laser-induced fluorescence, digital image processing and laser-Doppler anemometry, the flow properties of the jet have been studied in detail. It is found that, with sufficient heating, the jet no longer grows linearly with height, and the decay of both centreline velocity and turbulence intensity is arrested, and may even be reversed just beyond the zone of heat addition; nevertheless the entrainment decreases, which is at variance with the hypotheses often made for modelling it. This behaviour is here attributed to the disruptive influence that, as the present experiments show, the volumetric heating has on the large-scale vortical structures in the jet, which are known to be largely responsible for the engulfment of ambient fluid that is the first step in the entrainment process. It is shown that a new non-dimensional heat release number correlates the observed data on changes in jet width. An integral model that would describe the effect of local heating is proposed, and implications for cloud development in the atmosphere are discussed.

Type
Research Article
Copyright
© 1996 Cambridge University Press

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References

Bhat, G. S., Narasimha, R. & Arakeri, V. H. 1989 A new method of producing local enhancement of buoyancy in liquid flows. Exps. Fluids 7, 99102.Google Scholar
Broadwell, J. E. & Breidenthal, R. E. 1982 A simple model of mixing and chemical reaction in a turbulent shear flow. J. Fluid Mech. 125, 397410.Google Scholar
Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.Google Scholar
Dahm, W. J. A. & Dimotakis, P. E. 1990 Mixing at large Schmidt number in the self-similar far field of turbulent jets. J. Fluid Mech. 217, 299330.Google Scholar
Dimotakis, P. E., Miake-Lye, R. C. & Papantoniou, D. A. 1983 Structure and dynamics of round turbulent jets. Phys. Fluids 26, 31853192.Google Scholar
Elavarasan, R, Bhat, G. S., Narasimha, R. & Prabhu, A. 1995 An experimental study of a jet with local buoyancy enhancement. Fluid Dyn. Res. 16, 189202.Google Scholar
Emanuel, K. A. 1994 Atmospheric Convection. Oxford University Press.
Fiedler, H. E. 1987 Coherent structures. In Advances in Turbulence, Proc. 1st Euro. Turb. Conf., Lyon 1986, pp. 320336. Springer.
Fox, D. G. 1970 Forced plume in a stratified fluid. J. Geophys. Res. 75, 68186835.Google Scholar
Guilbault, G. C. 1973 Practical Fluorescence. Marcel Dekker.
Gutmark, E. & Ho, C. M. 1983 Preferred modes and spreading rates of jets. Phys. Fluids 26, 29322938.Google Scholar
Hermanson, J. C. & Dimotakis, P. E. 1989 Effects of heat release in a turbulent shear layer. J. Fluid Mech. 199, 333375.Google Scholar
Hirst, E. 1972 Zone of flow establishment for round buoyant jets. Water Resources Res. 8, 12341246.Google Scholar
Hunt, J. C. R. 1993 Atmospheric jets and plumes. In Recent Research Advances in the Fluid Mechanics of Turbulent Jets and Plumes Proc. NATO Advanced Study Institute, Viano di Castelo, pp. 309334. Kluwer.
Hussain, F. 1986 Coherent structures and turbulence. J. Fluid Mech. 173, 303356.Google Scholar
Hussein, J. H., Capp, S. P. & George, H. K. 1994 Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric turbulent jet. J. Fluid Mech. 258, 3175.Google Scholar
Iribarne, J. V. & Godson, W. L. 1973 Atmospheric Thermodynamics. D. Reidel.
LaMontagne, R. G. & Telford, J. W. 1983 Cloud top mixing in small cumuli. J. Atmos. Sci. 40, 21482156.Google Scholar
LeMone, M. A. & Zipser, E. 1980 Cumulonimbus vertical velocity events in GATE. Part I: diameter, intensity, and mass flux. J. Atmos. Sci. 37, 24442457.Google Scholar
Liepmann, D. & Gharib, M. 1992 The role of streamwise vorticity in the near-field entrainment of round jets. J. Fluid Mech. 245, 643668.Google Scholar
List, E. J. & Imberger, J. 1973 Turbulent entrainment in buoyant jets and plumes. J. Hydraul. Div. ASCE 99, 14611474.Google Scholar
Ludlam, F. H. 1980 Clouds and Storms. Pennsylvania University Press.
Morton, B. R. 1968 Turbulent structure in cumulus models. Intl Conf. on Cloud Physics, Toronto, Aug. 1968.
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A 234, 123.Google Scholar
Narasimha, R. & Prabhu, A. 1972 Equilibrium and relaxation in turbulent wakes. J. Fluid Mech. 54, 117.Google Scholar
Narasimha, R. & Sreenivasan, K. R. 1973 Relaminarization in highly accelerated turbulent boundary layers. J. Fluid Mech. 61, 417447.Google Scholar
Paluch, I. R. 1979 The entrainment mechanism in Colorado cumuli. J. Atmos. Sci. 36, 24672478.Google Scholar
Papanicolaou, P. N. & List, E. J. 1988 Investigations of round vertical turbulent buoyant jets. J. Fluid Mech. 195, 341391.Google Scholar
Papantoniou, D. & List, E. J. 1989 Large-scale structure in the far field of buoyant jets. J. Fluid Mech. 209, 151190.Google Scholar
Prabhu, A., Narasimha, R. & Sreenivasan, K. R. 1974 Distorted wakes. Adv. Geophys. 18B, 317328.Google Scholar
Ricou, F. P. & Spalding, D. B. 1961 Measurements of entrainment by axisymmetrical turbulent jets. J. Fluid Mech. 11, 2132.Google Scholar
Riehl, H. 1979 Climate and Weather in the Tropics. Academic Press.
Roshko, A. 1976 Structure of turbulent shear flows: a new look. AIAA J. 14, 13491357.Google Scholar
Roshko, A. 1993 Instability and turbulence in shear flows. In Theoretical and Applied Mechanics 1992. Elsevier.
Simpson, J. 1983 Cumulus clouds: early aircraft observations and entrainment hypotheses. In Mesoscale Meteorology (ed. D. K. Lilly & T. Gal-Chen), pp. 355445. D. Reidel.
Squires, P. & Turner, J. S. 1962 An entraining jet model for cumulonimbus updrafts. Tellus 14, 422434.Google Scholar
Telford, J. W. 1975 Turbulence, entrainment, and mixing in cloud dynamics. PAGEOPH 113, 10671084.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.
Tso, J. & Hussain, F. 1989 Organised motions in a fully developed turbulent axisymmetric jet. J. Fluid Mech. 203, 425448.Google Scholar
Turner, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
Turner, J. S. 1986 Turbulent entrainment: the development of entrainment assumption and its application to geophysical flows. J. Fluid Mech. 173, 431471.Google Scholar
Viswanath, P. R., Narasimha, R. & Prabhu, A. 1978 Visualization of relaminarizing flows. J. Indian Inst. Sci. 60, 159165.Google Scholar
Walker, D. A. 1987 A fluorescence technique for measurement of concentration in mixing liquids. J. Phys. E: Sci. Instrum. 20, 217224.Google Scholar
Warner, J. 1970 On steady-state one-dimensional models of cumulus convection. J. Atmos. Sci. 27, 10351040.Google Scholar
Warner, J. 1977 Time variation of updraft and water content in small cumulus clouds. J. Atmos. Sci. 34, 13061312.Google Scholar
Wygnanski, L. & Fiedler, H. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577612.Google Scholar
Yoda, M., Hesselink, L. & Mungal, M. G. 1992 The evolution and nature of large-scale structures in the turbulent jet. Phys. Fluids A 4, 803811.Google Scholar
Yoda, M., Hesselink, L. & Mungal, M. G. 1994 Instantaneous three-dimensional concentration measurements in the self-similar region of a round high-Schmidt-number jet. J. Fluid Mech. 279, 313350.Google Scholar