LAPSE:2023.5876
Published Article

LAPSE:2023.5876
A Similarity Model of the Cooling Process of Fluids during Transportation
February 23, 2023
Abstract
This article presents a description of a novel method for the identification of a decrease in the temperature of a liquid medium transported by railroad tank cars. No exact analytical solution exists for this phenomenon; therefore, the authors of this article have prepared a mathematical expression for the cooling process of the transported fluid by applying a dimensional analysis, which facilitated the identification of the dimensionless criteria using the relevant dimensional parameters. A functional dependence between the criteria can be identified through a physical or numerical experiment. In this case, a database of the results from a detailed numerical model was used; however, its disadvantage is that the calculation takes much longer than in a simpler similarity model. The output of the similarity model was a function of the average temperature of the fluid at a time applicable to various alternatives in the geometrical, physical, and boundary conditions. The standard deviation of the difference between the temperatures predicted by the similarity model and those calculated by the numerical simulation Tmod − Tsim represented 4.8% relative to the simulated fluid temperature.
This article presents a description of a novel method for the identification of a decrease in the temperature of a liquid medium transported by railroad tank cars. No exact analytical solution exists for this phenomenon; therefore, the authors of this article have prepared a mathematical expression for the cooling process of the transported fluid by applying a dimensional analysis, which facilitated the identification of the dimensionless criteria using the relevant dimensional parameters. A functional dependence between the criteria can be identified through a physical or numerical experiment. In this case, a database of the results from a detailed numerical model was used; however, its disadvantage is that the calculation takes much longer than in a simpler similarity model. The output of the similarity model was a function of the average temperature of the fluid at a time applicable to various alternatives in the geometrical, physical, and boundary conditions. The standard deviation of the difference between the temperatures predicted by the similarity model and those calculated by the numerical simulation Tmod − Tsim represented 4.8% relative to the simulated fluid temperature.
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Keywords
cooling, dimensional analysis, mathematical model, numerical simulation
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Suggested Citation
Brestovič T, Čarnogurská M, Příhoda M, Lázár M, Pyszko R, Jasminská N. A Similarity Model of the Cooling Process of Fluids during Transportation. (2023). LAPSE:2023.5876
Author Affiliations
Brestovič T: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
Čarnogurská M: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
Příhoda M: Department of Thermal Engineering, Faculty of Materials Science and Technology, VSB−Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic
Lázár M: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia [ORCID]
Pyszko R: Department of Thermal Engineering, Faculty of Materials Science and Technology, VSB−Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic [ORCID]
Jasminská N: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
Čarnogurská M: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
Příhoda M: Department of Thermal Engineering, Faculty of Materials Science and Technology, VSB−Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic
Lázár M: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia [ORCID]
Pyszko R: Department of Thermal Engineering, Faculty of Materials Science and Technology, VSB−Technical University of Ostrava, 708 33 Ostrava-Poruba, Czech Republic [ORCID]
Jasminská N: Department of Power Engineering, Faculty of Mechanical Engineering, Technical University of Košice, 04200 Košice, Slovakia
Journal Name
Processes
Volume
9
Issue
5
First Page
802
Year
2021
Publication Date
2021-05-03
ISSN
2227-9717
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Original Submission
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PII: pr9050802, Publication Type: Journal Article
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LAPSE:2023.5876
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https://doi.org/10.3390/pr9050802
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Feb 23, 2023
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