Self-Preserving Properties of Unsteady Round Buoyant Turbulent Plumes and Thermals in Still Fluids

The self-preserving properties of round buoyant turbulent starting plumes and starting jets in unstratified environments. The experiments involved dye-containing salt water sources injected vertically downward into still fresh water within a windowed tank. Time-resolved images of the flows were obtained using a CCD camera. Experimental conditions were as follows: source diameters of 3.2 and 6.4 mm, source/ambient density ratios of 1.070 and 1,150, source Reynolds numbers of 4,000-11,000, source Froude numbers of 10-82, volume of source fluid for thermals comprising cylinders having the same cross-sectional areas as the source exit and lengths of 50-382 source diameters, and stream-wise flow penetration lengths up to 110 source diameters and 5.05 Morton length scales from the source. Near-source flow properties varied significantly with source properties but the flows generally became turbulent and then became self-preserving within 5 and 20-30 source diameters from the source, respectively. Within the self-preserving region, both normalized streamwise penetration distances and normalised maximum radial penetration distances as functions of time were in agreement with the scaling relationships for the behavior of self-preserving round buoyant turbulent flows to the following powers: time to the 3/4 power for starting plumes and to the 1/2 power for thermals. Finally, the virtual origins of thermals were independent of source fluid volume for the present test conditions.

[1]  E. J. List,et al.  Large-scale structure in the far field of byoyant jets , 1989, Journal of Fluid Mechanics.

[2]  J. Middleton The asymptotic behaviour of a starting plume , 1975, Journal of Fluid Mechanics.

[3]  J. Turner,et al.  The ‘starting plume’ in neutral surroundings , 1962, Journal of Fluid Mechanics.

[4]  Norbert Adolph Lange,et al.  Handbook of chemistry , 1944 .

[5]  R. A. Seban,et al.  Turbulent buoyant jets in unstratified surroundings , 1976 .

[6]  Francesco Tamanini,et al.  Turbulence measurements in an axisymmetric buoyant plume , 1977 .

[7]  B. Morton Weak thermal vortex rings , 1960, Journal of Fluid Mechanics.

[8]  E. J. List Turbulent Jets and Plumes , 1982 .

[9]  R. S. Scorer,et al.  Experiments on convection of isolated masses of buoyant fluid , 1957, Journal of Fluid Mechanics.

[10]  G. Faeth,et al.  Erratum: “Self-Preserving Properties of Unsteady Round Nonbuoyant Turbulent Starting Jets and Puffs in Still Fluids” [ASME J. Heat Transfer, 124, pp. 460–469 (2002)] , 2003 .

[11]  J. Turner,et al.  The dynamics of spheroidal masses of buoyant fluid , 1964, Journal of Fluid Mechanics.

[12]  J. Turner,et al.  Buoyant vortex rings , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[13]  Richard M. Lueptow,et al.  Transient positively and negatively buoyant turbulent round jets , 1999 .

[14]  P.-K. Wu,et al.  EFFECTS OF INITIAL FLOW CONDITIONS ON PRIMARY BREAKUP OF NONTURBULENT AND TURBULENT ROUND LIQUID JETS , 1995 .

[15]  C. H. Chen,et al.  On Prediction and Unified Correlation for Decay of Vertical Buoyant Jets , 1979 .

[16]  J. Turner,et al.  Buoyancy Effects in Fluids , 1973 .

[17]  James A. Fay,et al.  Unsteady burning of unconfined fuel vapor clouds , 1977 .

[18]  Z. Dai,et al.  Velocity Statistics of Round, Fully Developed, Buoyant Turbulent Plumes , 1995 .

[19]  W. Snyder,et al.  Laboratory simulation of the rise of buoyant thermals created by open detonation , 2000, Journal of Fluid Mechanics.

[20]  James G. Quintiere,et al.  Salt water modeling of fire induced flows in multicompartment enclosures , 1986 .

[21]  R. Bigoni,et al.  Temperature-field structure within atmospheric buoyant thermals , 1984, Journal of Fluid Mechanics.

[22]  Feng Wu,et al.  Round buoyant laminar and turbulent plumes , 1981 .

[23]  C. Yih Turbulent buoyant plumes , 1977 .

[24]  I. H. Campbell,et al.  Turbulent fountains in an open chamber , 1990 .

[25]  J. Turner,et al.  Buoyant Plumes and Thermals , 1969 .

[26]  M. Delichatsios,et al.  Time similarity analysis of unsteady buoyant plumes in neutral surroundings , 1979, Journal of Fluid Mechanics.

[27]  E. John List,et al.  Investigations of round vertical turbulent buoyant jets , 1988, Journal of Fluid Mechanics.

[28]  Z. Dai,et al.  Structure of Round, Fully Developed, Buoyant Turbulent Plumes , 1994 .

[29]  Hunter Rouse,et al.  Gravitational Convection from a Boundary Source , 1952 .

[30]  G. Faeth,et al.  Self-Preserving Properties of Unsteady Round Nonbuoyant Turbulent Starting Jets and Puffs in Still Fluids , 2001, Heat Transfer: Volume 4 — Combustion and Energy Systems.

[31]  Z. Dai,et al.  Velocity/Mixture Fraction Statistics of Round, Self-Preserving, Buoyant Turbulent Plumes , 1995 .

[32]  Geoffrey Ingram Taylor,et al.  Turbulent gravitational convection from maintained and instantaneous sources , 1956, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[33]  W. Baines,et al.  Turbulent fountains in a closed chamber , 1993, Journal of Fluid Mechanics.