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Numerical Simulation of Turbulent Cavitating Flows Using Two-Equation k-ϵ Turbulence Model

Dehghanan, Sara | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45356 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Hejranfar, Kazem
  7. Abstract:
  8. In the current study, the numerical simulation of the turbulent cavitating flows is performed by solving the preconditioned, homogenous, multiphase Navier-Stokes equations. For the turbulence modeling, the standard two-equation k-ϵ model is used. The baseline differential equations system is comprised of the mixture volume, mixture momentum and constituent volume fraction equations together with two equations for the turbulence kinetic energy k and the turbulence energy dissipation rate ϵ. For the calculation of the eddy viscosity near the wall boundary, appropriate turbulence damping functions are applied to modify the source terms of the ϵ equation. The system of governing equations is discretized using a central difference finite volume scheme. Both turbulent noncavitating and cavitating flows are computed in this work. To account for density jumps across the cavity interface, the numerical dissipation terms with appropriate density and pressure sensors are used. The numerical simulation of steady turbulent cavitating flows around the NACA66 (MOD) hydrofoil and also an axisymmetric hemispherical fore-body is performed for different conditions by applying the k-ϵ turbulence model and the results obtained are compared with the available numerical and experimental results. The effects of various numerical and physical parameters on the accuracy and performance of the solution are also examined. Results show that the solution algorithm presented is accurate and efficient for computing noncavitating/cavitating turbulent flows over 2D/axisymmetric geometries
  9. Keywords:
  10. K-Epsilon Turbulence Model ; Multiphase Navier-Stokes Equation ; Cavitation Flow ; Axisymmetric Model ; Central Difference Finite Volume Method

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