Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform
Abstract
A mathematical model of thin glass sheet drawing has been developed. This model includes momentum, heat and mass balance equations. The density, viscosity and specific heat of the glass were calculated as functions of temperature, and the glass emissivity was defined and calculated as a function of both temperature and glass thickness. Two ordinary differential equations were obtained and solved using the Runge-Kutte method. The results of the numerical simulation were compared with the experimental data and good agreement between them was found.
Keywords:
glass drawing / model / simulation / rectangular preformSource:
Glass Technology, 1998, 39, 5, 166-172Publisher:
- Society of Glass Technology
URI
https://www.ingentaconnect.com/content/sgt/gt/1998/00000039/00000005/3905166;jsessionid=68d6gbp3meu3q.x-ic-live-03https://cer.ihtm.bg.ac.rs/handle/123456789/4204
Collections
Institution/Community
IHTMTY - JOUR AU - Milutinović Nikolić, Aleksandra AU - Jančić, Radmila AU - Aleksić, Radoslav PY - 1998 UR - https://www.ingentaconnect.com/content/sgt/gt/1998/00000039/00000005/3905166;jsessionid=68d6gbp3meu3q.x-ic-live-03 UR - https://cer.ihtm.bg.ac.rs/handle/123456789/4204 AB - A mathematical model of thin glass sheet drawing has been developed. This model includes momentum, heat and mass balance equations. The density, viscosity and specific heat of the glass were calculated as functions of temperature, and the glass emissivity was defined and calculated as a function of both temperature and glass thickness. Two ordinary differential equations were obtained and solved using the Runge-Kutte method. The results of the numerical simulation were compared with the experimental data and good agreement between them was found. PB - Society of Glass Technology T2 - Glass Technology T1 - Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform VL - 39 IS - 5 SP - 166 EP - 172 UR - https://hdl.handle.net/21.15107/rcub_cer_4204 ER -
@article{ author = "Milutinović Nikolić, Aleksandra and Jančić, Radmila and Aleksić, Radoslav", year = "1998", abstract = "A mathematical model of thin glass sheet drawing has been developed. This model includes momentum, heat and mass balance equations. The density, viscosity and specific heat of the glass were calculated as functions of temperature, and the glass emissivity was defined and calculated as a function of both temperature and glass thickness. Two ordinary differential equations were obtained and solved using the Runge-Kutte method. The results of the numerical simulation were compared with the experimental data and good agreement between them was found.", publisher = "Society of Glass Technology", journal = "Glass Technology", title = "Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform", volume = "39", number = "5", pages = "166-172", url = "https://hdl.handle.net/21.15107/rcub_cer_4204" }
Milutinović Nikolić, A., Jančić, R.,& Aleksić, R.. (1998). Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform. in Glass Technology Society of Glass Technology., 39(5), 166-172. https://hdl.handle.net/21.15107/rcub_cer_4204
Milutinović Nikolić A, Jančić R, Aleksić R. Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform. in Glass Technology. 1998;39(5):166-172. https://hdl.handle.net/21.15107/rcub_cer_4204 .
Milutinović Nikolić, Aleksandra, Jančić, Radmila, Aleksić, Radoslav, "Mathematical modelling and simulation of drawing thin glass sheet from a rectangular preform" in Glass Technology, 39, no. 5 (1998):166-172, https://hdl.handle.net/21.15107/rcub_cer_4204 .