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ISSN 2029-7092 online
ISBN 978-609-457-690-4 CD
ISBN 978-609-457-640-9
Energy for Buildings

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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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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