Stability and Mixing of a Vertical Axisymmetric Buoyant Jet in Shallow Water |
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Authors: | C P Kuang Joseph H W Lee |
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Institution: | (1) Department of Geotechnical Engineering, Tongji University, Shanghai, China;(2) Department of Civil Engineering, The University of Hong Kong, Pokfulam, Hong Kong, China |
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Abstract: | The stability, mixing and effect of downstream control on axisymmetric turbulent buoyant jets discharging vertically into
shallow stagnant water is studied using 3D Reynolds-averaged Navier–Stokes equations (RANS) combined with a buoyancy-extended
k –ε model. The steady axisymmetric turbulent flow, temperature (or tracer concentration) and turbulence fields are computed using
the finite volume method on a high resolution grid. The numerical predictions demonstrate two generic flow patterns for different
turbulent heated jet discharges and environmental parameters (i) a stable buoyant discharge with the mixed fluid leaving the
vertical jet region in a surface warm water layer; and (ii) an unstable buoyant discharge with flow recirculation and re-entrainment
of heated water. A stratified counterflow region always appears in the far-field for both stable and unstable buoyant discharges.
Provided that the domain radius L exceeds about 6H, the near field interaction and hence discharge stability is governed chiefly by the jet momentum length scale to depth ratio
lM/H, regardless of downstream control. The near field jet stability criterion is determined to be lM/H = 3.5. A radial internal hydraulic jump always exists beyond the surface impingement region, with a 3- to 6-fold increase
in dilution across the jump compared with vertical buoyant jet mixing. The predicted stability category, velocity and temperature/concentration
fields are well-supported by experiments of all previous investigators. |
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Keywords: | buoyant jet environmental hydraulics initial dilution jet stability k – ε model mixing and transport radial internal hydraulic jump stratified flow thermal discharge turbulence modelling |
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