Inertial effects in the rotationally driven melt motion during the Czochralski growth of silicon crystals with a strong axial magnetic field

Mathematics

• Silicon 81%
• Interior Layer 79%
• Crystal 60%
• Magnetic Field 55%
• Secondary Flow 55%
• Motion 41%
• Vertical 31%
• Intersection 25%
• Free Surface 24%
• Radial velocity 18%
• Electric Current 17%
• Furnace 16%
• Crystal Growth 16%
• Solenoid 15%
• Predictor-corrector Methods 15%
• Experimental Study 14%
• Perturbation Technique 13%
• Stream Function 13%
• Diagonalization 13%
• Conductor 12%
• Inertia 12%
• Singular Perturbation 12%
• Transport Equation 12%
• Vorticity 11%
• Poisson's equation 11%
• Defects 11%
• Governing equation 10%
• Composite 10%
• Fourth Order 10%
• Adjacent 9%
• Nonlinear Equations 9%
• Gradient 8%
• Interaction 8%

Engineering & Materials Science

• Crystal growth from melt 100%
• Crystals 57%
• Magnetic fields 50%
• Silicon 45%
• Secondary flow 40%
• Crystal growth 16%
• Crucibles 15%
• Perturbation techniques 15%
• Poisson equation 14%
• Solenoids 14%
• Electric currents 13%
• Vorticity 13%
• Nonlinear equations 12%
• Molten materials 11%
• Current density 11%
• Furnaces 10%
• Defects 7%
• Composite materials 6%

Physics & Astronomy

• secondary flow 35%
• silicon 31%
• intersections 29%
• magnetic fields 28%
• crystals 27%
• predictor-corrector methods 15%
• Hartmann number 12%
• crucibles 10%
• solenoids 10%
• Poisson equation 10%
• electric current 9%
• radial velocity 9%
• vorticity 9%
• inertia 9%
• nonlinear equations 9%
• crystal growth 8%
• furnaces 8%
• field strength 8%
• conductors 7%
• current density 6%
• perturbation 6%
• gradients 6%
• composite materials 5%
• defects 5%
• interactions 3%