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Level Set Approach for Capturing Interface Position of Annular Two-Phaseflow

Taherkhani, Morteza | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45656 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Nouri-Borujerdi, Ali
  7. Abstract:
  8. Numerical simulation of air-water annular two-phase flow in a tube is carried out by using level set method for determining position of interface between two phases. Governing equations include continuity, momentum and level set equations that considered for each phase. The finite difference scheme is used to discretize the differential equations. The SIMPLE algorithm is adopted to solve the discretized equations for linking continuity and momentum equation. An unequally spaced staggered grid size for flow field is adopted. The Level Set method is used to capture interface position between two phases. To increase the accuracy of solution at level set equation, 5th order finite difference and compact upwind scheme is used for spatial discretization and 4th order Rung-Kutta method for temporal term for discretizing the level set equation. The results have shown that liquid film thickness increase along the tube and gaseous core reaches to fully developed condition faster than liquid film. Increasing the gaseous core velocity make liquid film thickness grows less and increasing liquid film velocity make liquid film thickness grow smoothly. In this work, the fully developed region, axial velocity profile is compared with analytical solution, that a good corresponding is seen.
  9. Keywords:
  10. Interfaces ; Annular Two Phase Flow ; Level Set Method ; Simple Algorithm

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