Modelling of temperature field with physical characteristics dependence on temperature
The model of a metal plate heating by laser beam, taking into account the dependence of density, heat capacity and heat conduction of material on the temperature, is considered in the paper. For describing the temperature distribution, three-dimensional nonlinear unsteady heat conduction equation is...
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| Format: | Article |
| Language: | English |
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PC Technology Center
2013-10-01
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| Series: | Tehnologìčnij Audit ta Rezervi Virobnictva |
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| Online Access: | http://journals.uran.ua/tarp/article/view/18218 |
| Summary: | The model of a metal plate heating by laser beam, taking into account the dependence of density, heat capacity and heat conduction of material on the temperature, is considered in the paper. For describing the temperature distribution, three-dimensional nonlinear unsteady heat conduction equation is used. For its solution the coordinate wise splitting method was used, which reduces the three dimensional problem to a sequence of one-dimensional. At each time step, a system of nonlinear algebraic equations is formed, for its solving the Newton’s method was used. The system of linear algebraic equations with a tridiagonal matrix is formed at each iтteraсtion. For reducing the dimensionality of generating systems, the method for constructing adaptive difference grids was used, in which nodes are concentrated in the areas of large solution gradients. The model can be applied to compare the results obtained with regard to the dependence of physical characteristics of material on the temperature and without it. |
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| ISSN: | 2226-3780 2312-8372 |