Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue

Abstract This manuscript introduces a theoretical model to study the problem of heat and mass transfer in biological tissues in a magnetic field, which simulates cancer treatment using thermal therapy. In particular, this model incorporates the influence of the Brownian motion and thermal thermophor...

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Main Authors: R. S. Kamel, A. M. Ismaeel, F. M. Hady
Format: Article
Language:English
Published: Springer 2023-11-01
Series:SN Applied Sciences
Subjects:
Online Access:https://doi.org/10.1007/s42452-023-05527-0
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author R. S. Kamel
A. M. Ismaeel
F. M. Hady
author_facet R. S. Kamel
A. M. Ismaeel
F. M. Hady
author_sort R. S. Kamel
collection DOAJ
description Abstract This manuscript introduces a theoretical model to study the problem of heat and mass transfer in biological tissues in a magnetic field, which simulates cancer treatment using thermal therapy. In particular, this model incorporates the influence of the Brownian motion and thermal thermophoresis of nanoparticles. Firstly, the non-linear governing equations of motion are transformed into ordinary differential equations using similarity transformations, then solved numerically according to appropriate boundary conditions using MATLAB built-in solver- bvp4c. All parameters and their impacts on the flow have been investigated and studied. The model predictions showed that increasing the heat absorption by nanoparticles in the tissue increases the tumour temperature, which helps to improve the therapeutic efficiency and reduce the concentration of nanoparticles. Hence, the results of this study could enhance the effectiveness of thermal therapy for malignancies. Article Highlights The transport of nanoparticles (NPs) to the deep tissue is improved when the heat transfer coefficient is raised. The temperature of interstitial fluid significantly reduces the velocity of the interstitial fluid. Exposing tumours to an external heat source enhances the NP delivery to the tumour.
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spelling doaj.art-6b4f009bbe774169ac9e85dc09e5deb32023-11-12T12:26:39ZengSpringerSN Applied Sciences2523-39632523-39712023-11-0151211110.1007/s42452-023-05527-0Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissueR. S. Kamel0A. M. Ismaeel1F. M. Hady2Department of Mathematics, Faculty of Science, Assiut UniversityDepartment of Mathematics, Faculty of Science, Assiut UniversityDepartment of Mathematics, Faculty of Science, Assiut UniversityAbstract This manuscript introduces a theoretical model to study the problem of heat and mass transfer in biological tissues in a magnetic field, which simulates cancer treatment using thermal therapy. In particular, this model incorporates the influence of the Brownian motion and thermal thermophoresis of nanoparticles. Firstly, the non-linear governing equations of motion are transformed into ordinary differential equations using similarity transformations, then solved numerically according to appropriate boundary conditions using MATLAB built-in solver- bvp4c. All parameters and their impacts on the flow have been investigated and studied. The model predictions showed that increasing the heat absorption by nanoparticles in the tissue increases the tumour temperature, which helps to improve the therapeutic efficiency and reduce the concentration of nanoparticles. Hence, the results of this study could enhance the effectiveness of thermal therapy for malignancies. Article Highlights The transport of nanoparticles (NPs) to the deep tissue is improved when the heat transfer coefficient is raised. The temperature of interstitial fluid significantly reduces the velocity of the interstitial fluid. Exposing tumours to an external heat source enhances the NP delivery to the tumour.https://doi.org/10.1007/s42452-023-05527-0Thermal therapyBrownian motionThermophoresisNewtonian nanofluidVertical blood vesselBoundary layer
spellingShingle R. S. Kamel
A. M. Ismaeel
F. M. Hady
Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
SN Applied Sciences
Thermal therapy
Brownian motion
Thermophoresis
Newtonian nanofluid
Vertical blood vessel
Boundary layer
title Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
title_full Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
title_fullStr Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
title_full_unstemmed Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
title_short Numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
title_sort numerical study for a newtonian nanofluid over a vertical cylindrical vessel surrounded by a hot tissue
topic Thermal therapy
Brownian motion
Thermophoresis
Newtonian nanofluid
Vertical blood vessel
Boundary layer
url https://doi.org/10.1007/s42452-023-05527-0
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