Simulation of Multiphase Flow in Non-Circular Capillaries Using SPH

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Fayazbakhsh, Mohammad Ali | 2008

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 39449 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Kazemzadeh Hannani, Siamak; Taghizadeh Manzari, Mehrdad
Abstract:
In this thesis an SPH method is used for simulating multiphase two- and three-dimensional Newtonian fluid flows. The weakly compressible algorithm consists of two steps of prediction and correction. In the prediction step, the velocity field is integrated forward in time without enforcing incompressibility. The correction step consists of enforcing incompressibility by solving the pressure Poisson equation which creates a trade-off between the pressure and density variations. The surface tension force is applied in the linear momentum conservation equation by the divergence of the surface stress tensor. Advanced techniques are applied to achieve better convergence and reduce pressure-related problems. Surface tension is simulated in three dimensional capillaries with non-circular sections. Some benchmark problems are solved to show the ability of this method for solving multiphase flows and the results are compared with those shown in the literature
Keywords:
Surface Tension ; Multiphase Flow ; Smoothed Particle Hydrodynamics (SPH) ; Capillary Tube

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