Far Eastern Mathematical Journal

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Mathematical modeling of heat transfer in biological fluids during laser thermotherapy of cysts


Tereshko D. A., Kudryashov A. P.

2023, issue 1, P. 134-137
DOI: https://doi.org/10.47910/FEMJ202311


Abstract
The paper proposes a mathematical model of heat transfer by a jet of hot liquid that occurs during laser thermotherapy of cysts. This model is semiempirical, since the hot jet is set using sources obtained from the analysis of experimental data. Based on this model, a series of computational experiments were carried out for different laser powers.

Keywords:
partial differential equations, numerical simulation, heat and mass transfer in liquids, applications in medicine.

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References

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[2] R. V. Fursenko, V. M. Chudnovskii, S. S. Minaev, J. Okajima, “Mechanism of high velocity jet formation after a gas bubble collapse near the micro fiber immersed in a liquid”, Int. J. Heat Mass Tranf., 163 (2020), 120420.
[3] A. V. Kulik, S. N. Mokrin, A. M. Kraevskii, S. S. Minaev, M. A. Guzev, V. M. Chudnovskii, “Features of dynamics of a jet flow generated on a laser heater by surface boiling of liquid”, Tech. Phys. Lett., 48:1 (2022), 60–63.

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