Document Type : Research Paper

Abstract

In this research, the positive mixing length and trajectory characteristics of a buoyant jet was investigated. Jet flux is dependent on parameters such as initial velocity, port diameter, concentration of jet and flow conditions in the receiving fluid. A buoyant jet fluid governing equation with relevant logical assumptions was used to drive the required dimensionless functions using dimensional analysis. A physical model was built to evaluate the function of these parameters. Testing was done at varying velocities, concentrations and initial port diameters. The length of the falling jet trajectory was analyzed as the ratio of trajectory length to port diameter versus relative trajectory elevation. The results showed that increasing jet diameter and jet momentum had a significant effect on jet trajectory. Increasing jet fluid density caused a density gradient between the jet and receiving fluid and a change in the buoyancy forces involved which had a major influence on the length of the falling jet trajectory. Hence at a given density, increasing the diameter from 5-8 mm or 8-15 mm decreased the densimetric Froude number 30-40% for different velocities and the ratio of the length of positive flux buoyancy to port diameter decreased 20-35%. Findings showed that doubling the increase in density decreased the length of positive flux buoyancy 5-20%.

Keywords

Ahadiyan, J., Musavi Jahromi, S. H. 2009a. Simulation of buoyant jet properties at the downstream of power plant using thermal gradient. National Conferences of Dam and Ppower Plant. Tehran. Iran.
Ahadiyan, J., Musavi Jahromi, S. H. 2009b. Evaluation of jet flow momentum in the shallow water using Flow-3D. International Conference of Resource Management. Tabriz. Iran.
Albertson, M. L., Dai, Y. B., Jenson, R. A. and Rouse, H. 1950. Diffusion of submerged jets. Trans. Am. Soc. Civil Eng. 115, 639-664.
Cuthberston Alan, J. S., Peter, A. and Davis, P. A. 2008. Deposition from Particle-Laden, round, turbulent, horizontal, buoyant jets in stationary and coflowing receiving fluids. J. Hydraul. Eng. 134(4): 390-402.
Cardoso, S. S. S.and Zarrebini, M. 2001a. Convection driven by particle settling surrounding a turbulent plume. Chem. Eng. Sci. 56, 3365-3375.
 Cardoso, S. S. S. and Zarrebini, M. 2001b. Sedimentation of polydispersed particles from a turbulent plume. Chem. Eng. Sci. 56, 4725-4736.
Del Bene, J. V., Jirka, G. and Largier, J. 1994. Ocean brine disposal. Desalination. 97(1-3), 365-372.
Fischer, H. B. 1971. The dilution of an undersea sewage cloud by salt fingers. Water Res. 5, 909-915.
Jirka, G. H. 2004. Integral model for turbulent buoyant jets in unbounded stratified flows. Part 1: Single round jet. Environ. Fluid Mech. 4, 1-56.
Jirka, G. H. 2006. Integral model for turbulent buoyant jets in unbounded stratified flows. Part 2: Plane jet dynamics resulting from multiport diffuser jets. Environ. Fluid Mech. 6, 43-100.
Kunze, E. 1987. Limits on growing, finite-length fingers: A Richardson number constraint. J. Mar. Res. 45, 533-556.
Kunze. E. 1995. Quantifying salt-fingering fluxes in the ocean. Double-diffusive convection. Brandt, A. and Fernando, J. (Eds.) AGU Geophysical Monograph. 94, 313-320
Law, W.A., Fun Ho, W. and Monismith, G. S. 2004. Double diffusive effect on desalination discharges. J. Hydraul. Eng. 122(11): 450-457.
Maxworthy, T. 1983. The dynamics of double diffusive gravity currents. J. Fluid Mech. 128, 259-282.
Turner, J. S. 1967. Salt fingers a density interface. Deep-Sea Res. Oceanogr. Abst. 14, 599-611
Turner, J. S. 1998. Stratification and circulation produced by heating and evaporation on a shelf. J. Mar. Res. 56, 855-904