Theoretical Analysis and Semianalytical Solutions for a Turbulent Buoyant Hydrogen-Air Jet

Semianalytical solutions are developed for turbulent hydrogen-air plume. We derived analytical expressions for plume centerline variables (radius, velocity, and density deficit) in terms of a single universal function, called plume function. By combining the obtained analytical expressions of centerline variables with empirical Gaussian expressions of the mean variables, we obtain semianalytical expressions for mean quantities of hydrogen-air plume (velocity, density deficit, and mass fraction).

[1]  Matthew N. Swain,et al.  Passive ventilation systems for the safe use of hydrogen , 1996 .

[2]  G. Michaux,et al.  Solutions for turbulent buoyant plumes rising from circular sources , 2008 .

[3]  F. Steward Prediction of the Height of Turbulent Diffusion Buoyant Flames , 1970 .

[4]  P. H. Thomas,et al.  THE SIZE OF FLAMES FROM NATURAL FIRES , 1962 .

[5]  Jason H. Middleton,et al.  Scale diagrams for forced plumes , 1973, Journal of Fluid Mechanics.

[6]  G. Batchelor,et al.  Heat convection and buoyancy effects in fluids , 1954 .

[7]  M. Nakano,et al.  Forced ventilation for sensing-based risk mitigation of leaking hydrogen in a partially open space , 2010 .

[8]  William G. Houf,et al.  Investigation of small-scale unintended releases of hydrogen : momentum-dominated regime , 2008 .

[9]  Aamir Shabbir,et al.  Experiments on a round turbulent buoyant plume , 1994, Journal of Fluid Mechanics.

[10]  F. P. Ricou,et al.  Measurements of entrainment by axisymmetrical turbulent jets , 1961, Journal of Fluid Mechanics.

[11]  Vladimir AGRANAT,et al.  CFD Modeling of Hydrogen Releases and Dispersion in Hydrogen Energy Station , 2004 .

[12]  B. Morton,et al.  Modeling fire plumes , 1965 .

[13]  P. Crapper,et al.  Non boussinesq forced plumes , 1977 .

[14]  Masami Nakano,et al.  The sensing-based adaptive risk mitigation of leaking hydrogen in a partially open space , 2009 .

[15]  Hiroshi Kanayama,et al.  Numerical simulation of leaking hydrogen dispersion behavior in a partially open space , 2008 .

[16]  Matthew N. Swain,et al.  Hydrogen leakage into simple geometric enclosures , 2003 .

[17]  William G. Houf,et al.  Analytical and experimental investigation of small-scale unintended releases of hydrogen , 2008 .

[18]  Gary R. Hunt,et al.  Virtual origin correction for lazy turbulent plumes , 2001, Journal of Fluid Mechanics.

[19]  Kazuo Matsuura Effects of the geometrical configuration of a ventilation system on leaking hydrogen dispersion and accumulation , 2009 .

[20]  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.

[21]  The hydrogen laminar jet , 2010 .

[22]  Boundary layer theory approach to the concentration layer adjacent to the ceiling wall of a hydrogen leakage: Axisymmetric impinging and far regions , 2009 .

[23]  H. Fischer Mixing in Inland and Coastal Waters , 1979 .

[24]  William G. Houf,et al.  Investigation of small-scale unintended releases of hydrogen: Buoyancy effects , 2008 .

[25]  Boundary layer theory approach to the concentration layer adjacent to a ceiling wall of a hydrogen leakage: Far region , 2008 .

[26]  Shigeki Kikukawa,et al.  Consequence analysis and safety verification of hydrogen fueling stations using CFD simulation , 2008 .

[27]  William K. George,et al.  Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet , 1994, Journal of Fluid Mechanics.

[28]  A. Townsend The mechanism of entrainment in free turbulent flows , 1966, Journal of Fluid Mechanics.

[29]  H. Kanayama,et al.  Integral solutions for selected turbulent quantities of small-scale hydrogen leakage: A non-buoyant jet or momentum-dominated buoyant jet regime , 2009 .

[30]  Boundary layer theory approach to the concentration layer adjacent to a ceiling wall at impinging region of a hydrogen leakage , 2008 .

[31]  Shuyu Sun,et al.  Turbulent Buoyant Jet of a Low-Density Gas Leaks into High-Density Ambient: Hydrogen Leakage in Air , 2011 .

[32]  M. El-Amin Non-Boussinesq turbulent buoyant jet resulting from hydrogen leakage in air , 2009 .

[33]  H. Kanayama,et al.  Similarity consideration of the buoyant jet resulting from hydrogen leakage , 2009 .

[34]  M. Delichatsios,et al.  Strong Turbulent Buoyant Plumes. I. Similarity , 1980 .

[35]  Analytical solutions for turbulent non-Boussinesq plumes , 2005 .

[36]  Paul Linden,et al.  Similarity considerations for non-Boussinesq plumes in an unstratified environment , 1996 .