Abstract:
The jet mixing of water in crude oil pipelines by single nozzle and
multi-nozzle mixers was studied by dividing the mixing domain into to
three regions. the penetration. near field and farfield regions. At
the penetration region the quantitative experimental data were aided
by a flow visualisation study in an attempt to to form fundamental
semi-empirical correlations to estimate the entrainment rate of
stratified water from the bottom and the Sauter mean diameter of
the entrained water droplets for a single nozzle jet mixer.
The flow field diagnostics into the near field region. defined as the
region where high level of swirl and mixing is occuring. were
conducted theoretically using computational fluid dynamic code
"Phoenics" and experimentally through LOA measurements and flow
visualisation. The entrainment rate found in penetration region was
treated as a source term for theoretical analysis.
Experimental analysis of this region was conducted in single phase
flow for two mixer nozzles i) Single nozzle mixer and ii). Existing
multi-nozzle mixer. Experimental results have revealed that the swirl
velocities decay faster for higher velocity ratios and their
dependence on Reynolds number (in the range 27600 to 48400) is weak.
Higher velocity ratios would generate and dissipate higher levels of
energy, therefore break up water droplets to smaller sizes and
increase the eddy viscosity. The dispersion strength due to swirl
decays faster and the gravity settling begins earlier.
As the flow reaches downstream. approximately four diameters. the
distribution of velocities (mean and RMS) flattens out and their
magnitude begins to close up for the two mixers. when their momentum
ratios are equal.
It
was also shown that the swirl velocities (at
axis) die away. approximately at the same axial point for both of the
nozzles. The multi-nozzle mixer is shown to be better in two
characteristics; i). The mixing is faster and ii) The jet energy is
more evenly distributed in the vicinity of the injection cross
section. hence improving the quality of the droplet size distribution.
Besides providing information to aid understanding of the complex flow
in the mixer zone. the experimental data is believed to be of
sufficient quality and quantity to improve the present simple
modelling procedures as well as to be used as test cases for
assessment of the predictive accuracy of more elaborate computational
models.
Comparision with computational results (of low velocity ratios) shows
the agreement with swirl velocities is reasonable. but not always
acceptable for mean axial velocities. However. the computational model
predicts the near field jet trajectory reasonably well. The flow
visualisation of dispersion of passive contaminant agrees
qualitatively with the contours of the passive contaminant.
In the far field region. where the swirl has decayed. the flow behaves
two dimensionally. Therefore. an exact solution was obtained for two
dimensional water conservation equation. The boundary conditions were
specified by using sticking probability constants. A relationship was
obtained to specify eddy viscosity through turbulent kinetic energy.
The turbulent kinetic energy and swirl decay were estimated from LDA
experimental data. This solution can be used to study the developing
characteristics of water concentration profiles along the far field
region of the pipeline.