Mathematical model of warming up a cold hand by contact with a hot pipe

• Autorzy: Siedlecka Urszula

Identyfikatory

DOI

10.17512/jamcm.2025.2.05

• Języki publikacji: EN

Abstrakty

EN

In this article, the problem of heating a cold hand squeezing a pipe through which hot water flows is considered. The mathematical model concerns a one-dimensional axisymmetric problem in cylindrical coordinates. The aim of the research is to estimate the probability of different degrees of burns depending on the temperature of the flowing hot water, the pipe material, and the heating time. This probability is estimated using the Arrhenius integral. The considered problem is solved numerically using the finite volume method. Numerical examples of simulations for various pipe materials are presented.

Słowa kluczowe

EN

heat conduction; tissue burns; Arrhenius integral

PL

przewodzenie ciepła; oparzenia tkanek; całka Arrheniusa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2025
• Tom: Vol. 24, nr 2
• Strony: 61--70
• Opis fizyczny: Bibliogr. 15 poz., rys.

Twórcy

autor

Siedlecka Urszula

• Department of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).