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Numerical Simulation of Solid-fluid Mixture in Magnetic Field (MRF) Using Smoothed Particle Hydrodynamics (SPH) Method

Dini, Afrand | 2014

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45760 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Taghizadeh Manzari, Mehrdad; Kazemzadeh Hannani, Siamak
  7. Abstract:
  8. This work is related to the research in the fields of particulate flow with the presence of external magnetic field and simulating movements of particles till making chain of particles. Using direct numerical simulation method for a two-way coupling of fluid and magnetic governing equations makes a more roboust and precise method. Also, using some assumptions simplified general maxwell equations to set of magnetostatic equations. these eqautions are solved by the boundary element method and the integral equations. Using analytic integrals and calculation of magnetic intensity are some techniques suggested for improving the preciesion of the presented work. the magnetic force and torques can be calculated with the integration of maxwell stress tensor over the body of each particles and added to the Newton’s second law for describing the motion of solid particles. Solving fluid equations takes place by smoothed particle hydrodynamics method and the existed code in the SePeHr pachage. Using the suggested Hashemi and Fatehi approach to implement the solid boundary, choosing the best approach of calculation of the first and second spatial derivatives and correction of mass conservation equation are some special features of this code which makes it more stable, precise and robust. The proposed method is validated by solving a 2d benchmark, moving 2 circular solid particle in a cavity domain with stokes flow. In this problem effects of different parameters are considered and the results are compared to those of the articles. At the end, Number of particles increases to three and four and the results are obtained and disccused
  9. Keywords:
  10. Maxwell Equations ; Hydrodynamics ; Magnetorheological (MR)Fluid ; Direct Numerical Simulation (DNS) ; Boundary Element Method

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