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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 8, Page 1380 (Mi zvmmf11607)

This article is cited in 3 papers

Mathematical physics

Numerical simulation of phase transfer during cryosurgery for an irregular tumor using hybrid approach

Surabhi Nishadaa, Rama Bhargavab

a Department of Mathematics, Indian Institute of Technology Roorkee, India
b D.G. Roorkee College of Engineering, Roorkee, India

Abstract: In the current paper, numerical simulation has been performed for the two dimensional time dependent Pennes’ heat transfer model which is solved for irregular diseased tumor cells. An elliptic cryoprobe of varying sizes is taken at the center of the computational domain in such a manner that the location of the probe is fixed throughout the computation. The phase transition occurs due to the effect of probe with infusion of different nanoparticles Au, Al$_2$O$_3$, Fe$_3$O$_4$. The cooling performance of these nanoparticles injected at very low temperature, has been studied by implementing hybrid FEM/EFGM method in which the whole domain is decomposed into two subdomains. The results are shown in terms of temperature profile inside the computational domain. Rate of cooling is obtained for various nanoparticles and it is observed that infusion of Au nanoparticles is very much efficient on increasing the heating rate than other nanoparticles. Such numerical scheme has direct applications where the domain is irregular.

Key words: cryosurgery, hybrid FEM/EFGM, nanoparticles.

UDC: 51-76

Received: 29.01.2023
Revised: 23.03.2023
Accepted: 28.04.2023

Language: English

DOI: 10.31857/S0044466923080112


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:8, 1511–1526

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