Experimental Validation of Model Heat Transfer in Rectangular Hole Beams Using Modern Dimensional Analysis

Ildiko Renata Száva, Daniela Șova, Dani Peter, Pavel Élesztős, Ioan Száva and Sorin Vlase
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Ildiko Renata Száva: Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brasov, Romania
Daniela Șova: Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brasov, Romania
Dani Peter: Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brasov, Romania
Pavel Élesztős: Department of Mechanics, University of Bratislava, 814 99 Bratislava, Slovakia
Ioan Száva: Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brasov, Romania
Sorin Vlase: Department of Mechanical Engineering, Transilvania University of Brașov, B-dul Eroilor 20, 500036 Brasov, Romania

Mathematics, 2022, vol. 10, issue 3, 1-23

Abstract: Based on the Szirtes’ modern dimensional analysis (MDA), the authors apply the theory to a real structure in order to validate by experimental measurements its applicability. After a presentation of the basic elements of the model law (ML), deduced for two relevant cases, the authors conceived the set of prototypes and models, based on the case of an actual construction pillar, physically performed at scales of 1:1, 1:2, and 1:4. The combination of these structural elements, made at different scales, resulted in three sets of prototypes and models. In this paper, taking into consideration the ML for two relevant cases, the following are presented: the original test stand of these structural elements; block diagram of the original electronic heating and control system; the basic considerations regarding the particularity of this heating system from the point of view of heat transfer; measurement data, obtained for both nonthermally protected elements and for those protected with layers of intumescent paints. In the last part of the paper, the values obtained by rigorous direct measurements with those offered by the ML on the elements considered as prototypes and models are compared. Almost identical values were obtained from the direct measurements with those provided by the ML, thus resulting in the validation of these laws. The same thermal regimes were applied to all these structural elements, with registration of every parameter related to these thermal regimes. Depending on the role of a structural element within a certain set (prototype-model), some of the measurement data were considered as data acquired directly through measurements, and others served as reference elements for those for which we had to obtain through the model law. In the last part of the paper, the sizes obtained by rigorous direct measurements are compared with those offered by the model law on the elements considered as prototypes and models. Identical practical values of the quantities were obtained from the direct measurements with those provided by the model law, thus resulting in the validation of these laws.

Keywords: physics; geometric analogy; similitude; rectangular beam; modern dimensional analysis; model law; straight rod (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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