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Natalia Parfentyeva, Sabina Paulauskaitė
Approximate solutions to problems in building thermal physics
| Conference Information: |
9th International Conference on Environmental
Engineering, MAY 22-24, 2014 Vilnius, LITHUANIA |
| Source: |
ICEE-2011 - International Conference on Environmental
Engineering |
| Book Series: |
International Conference on Environmental Engineering
(ICEE) Selected papers |
| ISSN: |
ISSN 2029-7092 online |
| ISBN: |
978-609-457-640-9 / 978-609-457-690-4 CD |
| Year: |
2014 |
| Publisher: |
Vilnius Gediminas Technical University Press Technika |
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Abstract
Examples of approximate solutions to some building thermal physics problems, such as the definition of temperature, concentration and
moisture fields, are presented. All the above problems require solving a heat equation in the presence of a heat transfer component and
taking into account the parameters’ dependence on the potential. To obtain the solutions, the Karman integral method, the comparison
theorem and variational methods have been used. The obtaining of approximate solutions allows for the analysis of the dependence
of time-dependent potentials on various parameters, and verification of the solutions obtained by numerical methods. Also, the
benefits of and the need for obtaining approximate solutions in certain cases are shown. The effectiveness of approximation methods for
solving complex equation systems and nonlinear problems is explained.
Keywords: approximate solutions, temperature, diffusion, nonlinear problems.
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