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Analytical Solution of Two Layered Flow in Transition to Approach Controlled Flow
Ghazi Nezami, Arefeh | 2019
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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 52533 (09)
- University: Sharif University of Technology
- Department: Civil Engineering
- Advisor(s): Jamali, Mirmosadegh
- Abstract:
- In nature, tidal currents are visible in gorges and in saltwater and freshwater collisions. In the study of behavior of different types of flow, it is usually assumed that the pressure is hydrostatic and the equations are solved based on this assumption. In the Approach Controlled regime observed during the double layer in 1993, the modeling performed using the equations derived from this assumption did not fit the results of the experiments. This demonstrates the inability of the hydrostatic pressure assumption to solve this particular regime. Hence, the equations were written on the basis of non-hydrostatic pressure and then the observed results were in accordance with the results of the experiments. In this thesis, first, using Euler equations and assuming non-rotational flow in each layer using dynamic and kinematic boundary conditions, the governing equations for the two-layer flow in non-constant and permanent conditions are obtained by using the expansion of equations with Perturbation approximation. They came and were examined twice. The terms used in non-steady state equations were analyzed and their significance was studied. In order to achieve this problem by applying Approach-Controlled flow regime modeling that cannot be predicted by hydrostatic theory, it was concluded that no equations can be neglected in these equations. Modeling of the obtained equations was performed using different numerical methods in steady and non-steady state conditions and their results were verified by comparing the results with previous studies
- Keywords:
- Two Layer Flow ; Numerical Modeling ; Analytical Solution ; Perturbation Method ; Approach Controlled Flow
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