Unsteady inertial flow in channels of variable porosity
Date Issued
2006
Date
2006
Author(s)
Lu, Chi-Wei
DOI
zh-TW
Abstract
The goal of the present thesis is to investigate shallow water flows propagating through a medium of variable porosity. One particular case considered is a dam-break wave partially reflected and transmitted at a vertical porous boundary. The contents of this thesis include the derivation of governing equations, experimental methods, image analysis and the numerical modeling. In the derivation of the governing equations we will introduce how to use the Hamilton’s principle of least action to account for added mass effects. Image processing will offer some sample way to solve the radial distortion problem in 2D. Besides, we will show how to use piston to do dam-break experiment without using a sluice gate. Finally, we use experimental and numerical results to characterize the influence of inertia and added mass on the wave propagation.
Subjects
可變性多孔介質層
附加質量
淺水波
variable porous media
added mass
shallow flow
Type
thesis
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