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TWO-DIMENSIONAL HEAT TRANSFER AND THERMAL STRESS ANALYSIS IN THE FLOAT GLASS PROCESS

Busuladzic, Ines
http://rave.ohiolink.edu/etdc/view?acc_num=akron1176767377

Abstract Details

2007, Master of Science, University of Akron, Applied Mathematics.
We consider the glass manufacturing process where the glass floats on a tin layer through a furnace and the temperature of the glass changes from 1100 degrees C at the entrance to 600 degrees C at the exit from the furnace. Two float glass systems, a pure-layer and a multi-layer system, are considered. For each system asymptotic analysis is performed on the governing equations and corresponding boundary conditions. The small parameter is the ratio of the glass height to its length. The asymptotic analysis results in a simpler heat transfer model that is subsequently solved numerically. Further, analysis of thermal stresses in the glass ribbon is performed under plane strain assumption, so that the strain (but not stress) transversal to the axis of the ribbon vanish. No-stress boundary conditions are imposed on the remaining parts of the boundary of the ribbon. The asymptotic analysis is performed on thermal stresses up to and including third order terms in order to obtain a solution valid up to first order in the small parameter. Once the thermal stresses are determined, we optimize the temperature of the air to minimize the longitudinal thermal stresses while the temperature of the glass is fixed at 1100 degrees C at the entrance and 600 degrees C and at the exit from the furnace.
Dmitry Golovaty (Advisor)
heat transfer; thermal stresses; float glass; temperature; asymptotic expansion; optimization

Recommended Citations

Citations

  • Busuladzic, I. (2007). TWO-DIMENSIONAL HEAT TRANSFER AND THERMAL STRESS ANALYSIS IN THE FLOAT GLASS PROCESS [Master's thesis, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176767377

    APA Style (7th edition)

  • Busuladzic, Ines. TWO-DIMENSIONAL HEAT TRANSFER AND THERMAL STRESS ANALYSIS IN THE FLOAT GLASS PROCESS. 2007. University of Akron, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1176767377.

    MLA Style (8th edition)

  • Busuladzic, Ines. "TWO-DIMENSIONAL HEAT TRANSFER AND THERMAL STRESS ANALYSIS IN THE FLOAT GLASS PROCESS." Master's thesis, University of Akron, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=akron1176767377

    Chicago Manual of Style (17th edition)

akron1176767377
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© 2007, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.