Pressure on a Submerged Plate Undergoing Streamwise Rotation: Theory and Validating Experiments

Pressure on a Submerged Plate Undergoing Streamwise Rotation: Theory and Validating Experiments

DOI: 10.4018/978-1-5225-3079-4.ch009
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Abstract

In this chapter theoretical expressions are developed for the pressure loading on a vertical flat plate bounding an upstream reservoir with the plate undergoing rotational streamwise oscillation in close proximity to a bounding surface beneath the plate. The flow field in the reservoir can be decomposed into two parts. The first component of the flow field is due to only the rotational vibratory motion of the rigid weir plate (about some point on the weir plate), while the gate remains entirely closed with no discharge. The second component of the flow field results from the up-and-down vibration of the weir plate. Data from model scale testing in the laboratory and field tests on full-scale Tainter gates show excellent to good agreement with the theoretical predictions, validating the use of the theory.
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Introduction

The geometry of a Tainter gate on a dam crest in complicated, involving a curved gate surface and a curved gate crest. Simplifying these surfaces by modeling them as planar surfaces with vertical and horizontal faces (in the case of the upstream reservoir), a solution can be found for the pressure loading on the gate. In this chapter, we develop the theoretical framework for using analyses similar to those in Chapters 4, 5, and 7 to determine fluctuating pressures due to push-and draw vibrations and due to discharge fluctuations, in-water to in-air frequency ratios, and in-water damping. Data from model scale testing in the laboratory and field tests on full-scale Tainter gates show excellent to good agreement with the theoretical predictions, validating the use of the theory.

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