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Modelling laser percussion drilling

Modelling laser percussion drilling. Kees Verhoeven. Overview. The process Laser induced melting Splashing & Solidification NumLab in this project. Overview. The process Laser induced melting Splashing & Solidification NumLab in this project. Melting. Splashing. Solidification.

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Modelling laser percussion drilling

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  1. Modelling laser percussion drilling Kees Verhoeven Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  2. Overview • The process • Laser induced melting • Splashing & Solidification • NumLab in this project Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  3. Overview • The process • Laser induced melting • Splashing & Solidification • NumLab in this project Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  4. Melting Splashing Solidification The process Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  5. The process: analysis • Time scales: • Melting to sec. • Splashing sec. • Gas dynamics sec. • One dimensional model for melting • ‘Shallow water’ equations for splashing and solidification • One dimensional model for recoil pressure Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  6. Overview • The process • Laser induced melting • Splashing & Solidification • NumLab in this project Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  7. Stefan formulation • Heat equation in both regions • Stefan condition • Energy supply Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  8. Enthalpy method • Heat equation in enthalpy form • Enthalpy known function of temperature Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  9. Comparison • Front-tracking and front-fixing methods vs. fixed-domain methods • Enthalpy method can deal with ‘mushy’ regions • Enthalpy method easily extended to 2D Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  10. Overview • The process • Laser induced melting • Splashing & Solidification • NumLab in this project Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  11. Splashing & Solidification • Dimensionless parameters • Assumptions • Inviscid • Irrotational • Leading-order effects • Recoil pressure (splashing) • Convection vs. diffusion (solidification) Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  12. Solidification • Unknowns: • Equations: • Conservation of mass • Burgers’ equation • Heat equation Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  13. Solidification: numerics SLM Burgers SLM Mass Heat eq. Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  14. Note that: • Burgers’ equation exhibits shocks • Velocity has compact support, so leading edge shock • This shock appears in the equation for conservation of mass • Melt amasses behind leading edge shock Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  15. Overview • The process • Laser induced melting • Splashing & Solidification • NumLab in this project Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  16. Solidification: numerics SLM Burgers SLM Mass Heat eq. Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  17. Using different packages • Sepran (FEM) • PPPack (Splines) • LaPack • VTK (Visualisation) • Own codes (Matlab, C/C++) Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  18. Example 1: Burgers & mass Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  19. Example 2: Visualisation Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

  20. Example 2: Visualisation Modelling laser percussion drilling - A-DAY ’01 - 22/11/01

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