Abstract:
Extensive laboratory investigations and then stringent analysis have been done to study
the different aspects of turbulence hydraulics in open channel (with and without PKW) under
multiple hydraulic conditions. Two types of flume, with different width have been utilized for
the experimentation. The first flume of smaller width (50 cm) has been only utilized for head
reduction study and to evaluate head discharge relationship. This study has been carried out to
show the general utility of Piano Key Weir and appraisal for the estimation of approximate
design discharge. The rest of the experimentation has been done in the second flume (260 cm)
under different hydraulic conditions.
The preliminary step of this study is to investigate hydraulic advantage of Piano Key
Weir in comparison to rectangular weir in open channel. On the other hand, bed shear stress
and velocity distribution around hydraulic structures such as Piano Key Weir can be an
important aspect for the efficiency improvement and local mechanism development. An
investigation on the turbulent kinetic energy and octant events distribution around Piano Key
Weir is substantive to understand the mechanism of local transport and to determine which
turbulence properties affect the local momentum transport. This dissertation examined in depth
the bed shear stress methodology, velocity distribution and turbulent kinetic energy variations
and bursting events in the approach flow domain of Piano Key Weir. The goal of the study is to
investigate some alternative approaches for flow & turbulence characteristics and their
significance in the upstream of Piano Key Weir.
By using Piano Key Weir, up to 80% of head reduction has been achieved in
comparison with rectangular weir of same width. Nonlinear empirical relationship has been
established considering Q/LB as function of average head over Piano Key Weir crest. Selection
of instrument using principal component analysis has been carried out. Acoustic Doppler
Velocimeter has been qualified as better instrument under assumed conditions. Raw Acoustic
Doppler Velocimeter data contain noise, which has been removed using available noise
removal techniques. Noise removal using state space threshold has been applied. After
application of noise removal technique on datasets, the occurrence of change in mean and mean
velocity fluctuations (turbulence) has been estimated. It has been found that second order
velocity (turbulence or mean velocity fluctuations) has higher correlation than first order (mean
velocity) with available noise.
Over hydraulically smooth boundary, local shear stress estimates using Turbulent
Kinetic Energy and Modified Turbulent Kinetic Energy; has been found very similar at higher
iv
aspect ratio but more variations have observed for a smaller aspect ratio The Turbulent Kinetic
Energy method has also been found to be the most suitable to estimate the local stresses near
Piano Key Weir due to the presence of three dimensional local equilibrium conditions.
Range of mean longitudinal velocity has happened to be increasing as moved away
from the Piano Key Weir (0 to 3.5 cm/s @X=0 from 2 to 4.5 cm/s @X=30). The profiles of
transverse velocity indicate that due to presence of wall; mean transverse velocity is at lower
range near wall but at the same time also with higher uncertainty near wall. Velocity
distribution in the YZ plane has been found to be highly nonlinear.
Range of turbulent kinetic energy is increased below the 30% of the flow depth. Average
standard deviation of turbulent kinetic energy has been estimated 0.65 cm2/s2/mass (z>0.3).
Below that relative depth (z < 0.3) the average standard deviation increased more than four
times i.e. 4.8 cm2/s2/mass.
The average velocity and turbulent intensities near inlet key, in both directions
(longitudinal & transverse), have also been investigated in a steady open channel flow with
PKW. Peak value of turbulent kinetic energy is decreasing with decrease of Q/h (increase in
flow resistance) and flow resistance is increased after introduction of PKW in channel. As flow
resistance increased peak value is getting decreased by 22.18 to 0.83 cm2/s2 per unit mass.
Irrespective of any condition with or without structure, position of Centroid lies below 0.3h,
where h is the depth of flow. Region of occurring maximum turbulent kinetic energy is in
between 0.15 h to 0.30 h, when the experiments have been done without Piano Key Weir.
The average contribution of sweep and ejection displays increasing trend with high
strength turbulence events. Probability of occurrence of the events (highly turbulent) H12 has
been found maximum 5% in the entire flow domain, considering two dimensional events.
Extended study for three dimensional octant events show that the probability of occurrence
(H12) increased up to 10%. It shows the relative importance of three dimensional analyses to
gather more precise information. In absence of three dimensional data, a new parameter
turbulent ratio is defined and tested by author. This new parameter is capable of extract the
turbulent character of flow in the upstream of PKW.