Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms

Simulating and analyzing thermal behavior in the human body is crucial for various biomedical applications. The skin, composed of multiple layers, is connected to the vascular bed, which comprises venules and capillaries. Blood, the body's primary thermoregulator, flows towards the tissue throu...

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Main Authors: K.R. Sreegowrav, R. Indira, Sushma M. Puranik, S. Jagadeesha, S.J. Vishwanatha, K. Ganesh Kumar
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X25000711
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author K.R. Sreegowrav
R. Indira
Sushma M. Puranik
S. Jagadeesha
S.J. Vishwanatha
K. Ganesh Kumar
author_facet K.R. Sreegowrav
R. Indira
Sushma M. Puranik
S. Jagadeesha
S.J. Vishwanatha
K. Ganesh Kumar
author_sort K.R. Sreegowrav
collection DOAJ
description Simulating and analyzing thermal behavior in the human body is crucial for various biomedical applications. The skin, composed of multiple layers, is connected to the vascular bed, which comprises venules and capillaries. Blood, the body's primary thermoregulator, flows towards the tissue through capillaries and away through venules. These blood vessels, separated by a thin layer of tissue, prevent mixing while enabling efficient heat exchange. Understanding this counterflow mechanism is vital for studying heat transfer within the vascular bed. In this study, the capillary, tissue, and venule are modeled as regions 1, 2, and 3, respectively, forming a three-layered rectangular channel. Heat transfer occurs via diffusion through the semi-permeable tissue layer, with slip conditions applied at its interface. The bioheat transport equation, combined with the Navier-Stokes equation, governs the thermal and fluid behavior. Analytical expressions for velocity are derived for all regions, while the temperature distribution, transformed into integral equations, is solved numerically. The resulting system of linear equations provides insights into the thermal dynamics within the vascular bed, with findings represented graphically.
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institution Kabale University
issn 2214-157X
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publishDate 2025-03-01
publisher Elsevier
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series Case Studies in Thermal Engineering
spelling doaj-art-2c25a9c0e03745799b1ea09f4b03b6b62025-02-03T04:16:43ZengElsevierCase Studies in Thermal Engineering2214-157X2025-03-0167105811Numerical study of bioheat transfer in a vascular bed with counter-flow mechanismsK.R. Sreegowrav0R. Indira1Sushma M. Puranik2S. Jagadeesha3S.J. Vishwanatha4K. Ganesh Kumar5School of Applied Sciences, REVA University, Bengaluru - 560064, Karnataka, IndiaDepartment of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, 560s064, IndiaDepartment of Mathematics, RV Institute of Technology and Management, Bengaluru, 560076, IndiaDepartment of Mathematics, Nitte Meenakshi Institute of Technology, Bengaluru, 560s064, IndiaDepartment of Mechanical Engineering, NMAM Institute of Technology, (Nitte Deemed to be University), Nitte, Karkala, India; Corresponding author.Department of Mathematics, NMAM Institute of Technology, Nitte (Deemed to be University), Nitte, Karkala, India; Corresponding author.Simulating and analyzing thermal behavior in the human body is crucial for various biomedical applications. The skin, composed of multiple layers, is connected to the vascular bed, which comprises venules and capillaries. Blood, the body's primary thermoregulator, flows towards the tissue through capillaries and away through venules. These blood vessels, separated by a thin layer of tissue, prevent mixing while enabling efficient heat exchange. Understanding this counterflow mechanism is vital for studying heat transfer within the vascular bed. In this study, the capillary, tissue, and venule are modeled as regions 1, 2, and 3, respectively, forming a three-layered rectangular channel. Heat transfer occurs via diffusion through the semi-permeable tissue layer, with slip conditions applied at its interface. The bioheat transport equation, combined with the Navier-Stokes equation, governs the thermal and fluid behavior. Analytical expressions for velocity are derived for all regions, while the temperature distribution, transformed into integral equations, is solved numerically. The resulting system of linear equations provides insights into the thermal dynamics within the vascular bed, with findings represented graphically.http://www.sciencedirect.com/science/article/pii/S2214157X25000711Counter flowCapillariesVascular bedVenuleBioheat transfer
spellingShingle K.R. Sreegowrav
R. Indira
Sushma M. Puranik
S. Jagadeesha
S.J. Vishwanatha
K. Ganesh Kumar
Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
Case Studies in Thermal Engineering
Counter flow
Capillaries
Vascular bed
Venule
Bioheat transfer
title Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
title_full Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
title_fullStr Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
title_full_unstemmed Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
title_short Numerical study of bioheat transfer in a vascular bed with counter-flow mechanisms
title_sort numerical study of bioheat transfer in a vascular bed with counter flow mechanisms
topic Counter flow
Capillaries
Vascular bed
Venule
Bioheat transfer
url http://www.sciencedirect.com/science/article/pii/S2214157X25000711
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