Scour Analysis in High Vertical Drop Shallow Using Numerical and Physical Models
The "vertical drop Structure" is one of the basic types used in channel system flow. Drops are used as slope breakers in some parts of channels where we encounter supercritical slopes. Scour is a dynamic phenomenon that is visible in vertical drop tail water depth. Because of complexity of Scour process and simultaneous testing of variables' effective compliance, studies are still underway to determine the accuracy of the equations and provide possible explanation for this phenomenon. These investigations include field or laboratory experiments under special conditions where mathematical models have been often used to provide an explicit result. Using the laboratorial physical modeling, this research explores the impact of a vertical drop flow rate on the balance of forces at the scour depth below a high vertical drop . Satisparametery results have been obtained by changing several of the parameters like sediments grading, tail water depth and flow rate. In order to specify a set of effective parameters, dimensional analysis has been used to show the scour hole dimensions. Also, computer software FLOW-3D was used to simulate the numerical modeling of Scour below a high vertical drop. The data from numerical simulation is then compared with physical modeling resulting in the great compatibility and correlation.
Scour below a high vertical drop
Experimental results on scour below a high vertical drop (drop height/critical depth >1) in uniform sands and gravels are presented. The experimental results are used to describe the effects of important parameters, identified from the dimensional analysis, on equilibrium scour depth. The important observations are that the equilibrium scour depth increases with increase in densimetric Froude number, whereas the scour depth decreases with increase in sediment size and tailwater depth. The time scale of scour depth that follows an exponential law is determined. The nondimensional time scale decreases with increase in densimetric Froude number.
Modeling Coherent Backscattering Errors in Fiber Optic Gyroscopes for Sources of Arbitrary Line Width
We present a new model of the noise and drift induced by coherent backscattering in a fiber optic gyroscope (FOG) interrogated with a light source of arbitrary temporal coherence. This study is critical to understand whether a FOG driven with a laser instead of a broadband source can attain high sensitivity and stability, which would have the overwhelming benefit of improving the FOG scale factor stability by at least ten-fold and would enable the use of FOGs for inertial navigation of aircrafts. Analytical and numerical solutions bring to light two significant new predictions. First, coherent-backscattering noise can be made negligibly small by utilizing a laser with a very narrow linewidth (less than ~ 20 kHz), although in this regime the drift is high. Second, by using a laser with a broad linewidth (greater than ~ 10 MHz), both the noise and the drift are low enough for aircraft inertial navigation. The dependencies of the noise and drift on fiber loss, loop coupling coefficient, and backscattering coefficient are also presented to define the optimum mode of operation of this new class of FOGs.