Coupling of conductive, convective and radiative heat transfer in Czochralski crystal growth process

Effect of crucible geometry on melt convection and interface shape during Kyropoulos growth of sapphire single crystal

“…Validaty of the use of Fluent in crystal growth simulations can be found elsewhere (e.g. [16,17]), which will not repeated here. As shown in Fig.…”

Temperature distribution in an inductively heated CZ crucible

“…Next, a magnetic stream function, c B , is defined as c B ¼ rA y ðx; r; tÞ (8) for the solution of Eq. (7).…”

“…It has been revealed by some researchers [8][9][10][11] that in addition to the radiative heat transfer, the conductive and natural convective heat transfer at the surface of the crucible may also play important roles to the temperature field in the crucible. Therefore, those heat transfer mechanisms are also considered in the corresponding numerical analysis for the whole CZ crystal growth system.…”