Modern Method to Analyze the Heat Transfer in a Symmetric Metallic Beam with Hole

Abstract

The paper aims to use Modern Dimensional Analysis to study the heat transmission through a rectangular bar with a hole. The problem is very important for monitoring a structure, made of such bars, to protect it from fire. The original part of the work is represented by the application of this nonconventional method in the field of heat transfer in bars of rectangular-tubular section. During system heating, the properties of the material change dramatically at high temperatures, which can lead to the collapse of the entire system. The Laws of the Model, further applied to the two sets of independent variables, provide the complete sets of dimensionless variables, which cannot be offered by any of the classical methods (such as Geometric Analogy, Theory of Similarity, and Classical Dimensional Analysis). The validation of the method was made experimental on both unprotected structural elements and those thermally protected with layers of intumescent paints, widely used in the field of fire protection. Finite Element Method was too applied to obtain the field of temperature in order to validate the model.

Modern Dimensional Analysis Based on Fire-Protected Steel Members’ Analysis Using Multiple Experiments

“…As mentioned before in [64], the authors, based on the deduced ML in [57], performed a searching experimental investigation in order to validate the obtained ML for the case of the unprotected (without an intumescent paint layer) steel members.…”

“…Their applicability is strongly limited due to several shortcomings [35][36][37][38][39][40][41][42][43][44][45], analysed in detail by the authors in [1,[46][47][48][49][50][51][52][53][54][55][56][57][58]. Even CDA represents a relatively general approach; it also has several limits, including representing a relatively chaotic procedure in the identification of the dimensionless variables π j , j = 1, .…”

“…On the contrary, its new version, developed by Szirtes in [59,60] and referred to hereinafter as Modern Dimensional Analysis (MDA), offers a very flexible and efficient approach which is easy to apply by any common researcher. In their previous contributions, the advantages of MDA in different engineering areas were analysed and illustrated [1,[55][56][57][58]61]. One of their major fields of applicability was the heat transfer problem in massive-as well as tubular cross-sectional steel structural elements [55][56][57][58][61][62][63][64].…”

“…In their previous contributions, the advantages of MDA in different engineering areas were analysed and illustrated [1,[55][56][57][58]61]. One of their major fields of applicability was the heat transfer problem in massive-as well as tubular cross-sectional steel structural elements [55][56][57][58][61][62][63][64].…”

Symmetry in Applied Continuous Mechanics 2022

“…The statistics for this Special Issue related to published or rejected items were as follows [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]: 25 total submissions, 15 published papers (60%), and 10 rejected papers (40%). The geographical distribution of the authors of published papers is shown in Table 1, in which it can be seen that 50 authors are from seven different countries.…”