Large-scale numerical analysis of materials processing systems: High-temperature crystal growth and molten glass flows

• Published in: Computer methods in applied mechanics and engineering Vol. 112; no. 1; pp. 69 - 89
• Main Authors: Derby, Jeffrey J., Brandon, Simon, Salinger, Andrew G., Xiao, Qiang
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 1994; Elsevier
• Subjects: Cross-disciplinary physics: materials science; rheology; Exact sciences and technology; Growth from melts; zone melting and refining; Materials science; Methods of crystal growth; physics of crystal growth; Physics; Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation; Theory and models of film growth; Numerical analysis; Flow(fluid); Glass; Theoretical study; Czochralski method; High temperature; Bridgman method; Crystal growth from melts
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/0045-7825(94)90019-1

We present Galerkin finite element computations of heat transfer and fluid dynamics in high-temperature materials processing systems. Examples are presented of how large-scale numerical simulations have been used to gain insight into the workings of several processes, specifically the growth of large, single crystals and the flow characteristics of molten glass. These systems are characterized by nonlinear interactions between field and interfacial phenomena — the transport of momentum, heat and mass and effects of solidification and capillarity. Additional complications are caused by the effects of internal radiative energy transport within participating media (internal radiation).