Minimum Specific Energy and Critical Flow Conditions in Open Channels

In open channels, the relationship between the specific energy and the flow depth exhibits a minimum, and the corresponding flow conditions are called critical flow conditions. Herein they are re-analysed on the basis of the depth-averaged Bernoulli equation. At critical flow, there is only one possible flow depth, and a new analytical expression of that characteristic depth is developed for ideal-fluid flow situations with non-hydrostatic pressure distribution and non-uniform velocity distribution. The results are applied to relevant critical flow conditions : e.g., at the crest of a spillway. The finding may be applied to predict more accurately the discharge on weir and spillway crests

The known unknowns of hydraulic engineering

Hydraulic engineers and researchers deal with scientific challenges involving turbulent flow motion and its interactions with the surroundings. Turbulent flows are characterised by unpredictable behaviour, and little systematic research has yet been conducted in natural systems. This paper discusses the implications of recent developments in affordable instrumentation previously characterised by intrinsic weaknesses that adversely affect the quality of the signal outputs. A challenging application is the unsteady turbulence field in tidal bores. The interactions between open channel flows and movable boundaries and atmosphere illustrate another aspect of our limited knowledge. Rapid siltation of reservoirs and air entrainment in turbulent free-surface flows are discussed. In both applications, hydraulic engineers require some broad-based expertise. In turn the education of future hydraulic engineers is of vital importance

Hydraulic engineering in the 21st century: Where to?

For centuries, hydraulic engineers were at the forefront of science. The last forty years marked a change of perception in our society with a focus on environmental sustainability and management, particularly in developed countries. Herein, the writer illustrates his strong belief that the future of hydraulic engineering lies upon a combination of innovative engineering, research excellence and higher education of quality. This drive continues a long tradition established by eminent scholars like Arthur Thomas IPPEN, John Fisher KENNEDY and Hunter ROUSE

Spatial variation in physio-chemistry in a small river estuary

The understanding of riverine and estuarine mixing processes remains limited, and the predictions are highly sensitive to specific features of the natural system. One reason is the very complex variations of hydrodynamic and physio-chemical properties with the tidal phase. This study presents the results of two field works during which a range of flow and chemical parameters were recorded simultaneously at several locations along a small sub-tropical estuary. The studies were conducted in contrasted conditions: wet and dry conditions. The field measurements indicated that the hydrodynamics and water conductivity were dominated by the tidal forcing, and to a lesser extent by the freshwater inputs. There were generally significantly greater differences between longitudinal sites than between vertical depths, although some marked differences were observed between the upper and lower estuarine zones. The comparative results between wet and dry field studies illustrated some marked stratification in wet weather along all the estuary, implying that the surface samples were not representative of the average water column properties. Overall the complexity of the hydrodynamics and water quality has some impact on the water quality modelling of the system

Introducing Originality and Innovation in Engineering Teaching: The Hydraulic Design of Culverts

Recently the teaching of engineering design has become a presentation of standards and codes rather than the learning of sound design practices. Too many students request formulae and equations to solve a design exercise and they fail to develop any design originality. The present student attitude leads to young graduate engineers without critical ability and innovative flair. The writer has developed an innovative hydraulic design exercise based upon culvert design. Each design exercise could lead to more than one correct design per student in the class. Students have to learn basic design calculations based upon lecture material, notes, field visits and laboratory experiment. The practical component (laboratory, field visit) contributes significantly to their understanding of the complete system, including some basic safety and professional issues

Preliminary measurements of turbulence and environmental parameters in a sub-tropical estuary of Eastern Australia

In natural systems, mixing is driven by turbulence, but current knowledge is very limited in estuarine zones where predictions of contaminant dispersion are often inaccurate. A series of detailed field studies was conducted in a small subtropical creek in eastern Australia. Hydrodynamic, physio-chemical and ecological measurements were conducted simultaneously to assess the complexity of the estuarine zone and the interactions between turbulence and environment. The measurements were typically performed at high frequency over a tidal cycle. The results provide an original data set to complement long-term monitoring and the basis for a more detailed study of mixing in sub-tropical systems. Unlike many long-term observations, velocity and water quality scalars were measured herein with sufficient spatial and temporal resolutions to determine quantities of interest in the study of turbulence, while ecological indicators were sampled systematically and simultaneously. In particular the results yielded contrasted outcomes, and the finding impacts on the selection process for key water quality indicators

Discussion of "transcritical flow due to channel contraction" by O. Castro-Orgaz, J. V. Giraldez, and J. L. Ayuso

The design of channel contraction is not obvious when transcritical or near-critical flows take place. The concept of critical flow conditions was first developed by Bélanger (1828) and later expanded by Bakhmeteff (1912, 1932). Bélanger and Bakhmeteff both defined the concept of critical flow in relation to the singularity of the backwater equation. Herein further applications of transcritical flow in channel contraction are discussed and a solution of the critical flow singularity is presented

Estimating void fraction in a hydraulic jump by measurements of pixel intensity

A hydraulic jump is a sudden transition from supercritical to subcritical flow. It is characterized by a highly turbulent roller region with a bubbly two-phase flow structure. The present study aims to estimate the void fraction in a hydraulic jump using a flow visualization technique. The assumption that the void fraction in a hydraulic jump could be estimated based on images' pixel intensity was first proposed by Mossa and Tolve (J Fluids Eng 120:160-165, 1998). While Mossa and Tolve (J Fluids Eng 120:160-165, 1998) obtained vertically averaged air concentration values along the hydraulic jump, herein we propose a new visualization technique that provides air concentration values in a vertical 2-D matrix covering the whole area of the jump roller. The results obtained are found to be consistent with new measurements using a dual-tip conductivity probe and show that the image processing procedure (IPP) can be a powerful tool to complement intrusive probe measurements. Advantages of the new IPP include the ability to determine instantaneous and average void fractions simultaneously at different locations along the hydraulic jump without perturbing the flow, although it is acknowledged that the results are likely to be more representative in the vicinity of sidewall than at the center of the flume

Pair-particle separation statistics of drifters in tidal shallow water

In estuaries and natural water channels, the estimate of turbulent diffusivity is important to the modelling of scalar transport and mixing. Data from multiple deployments of low and high resolution clusters of GPS-drifters are used to examine dispersive behaviour of a small tidal estuary. Relative dispersion from pair-particle separation and finite scale Lyapunov exponents (FSLEs) are employed. Relative dispersion within the natural channel indicates weaker than Richardson’s power law exponent in the range of 1 – 2. The FLSE scales as λ ~ δ in a small spatial scale range of δ ~ 2 – 10 m. The FSLE analysis suggests the presence of exponential dispersive behaviour, i.e. chaotic mixing at medium to large spatial scales. The results provide insights into accurately parameterizing unresolved mixing processes in typical tidal shallow bounded estuary