Variational finite element approach to a heat flow problem in human limbs

An attempt has been made to study cross sectional temperature distribution in in-vivo tissues of a human limb employing variational finite element approach. The outermost surface of the limb is assumed to be exposed to the atmosphere. The physiological and physical parameters like rate of metabolic...

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Main Authors: V. P. Saxena, M. P. Gupta
Format: Article
Language:English
Published: Wiley 1994-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171294001079
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author V. P. Saxena
M. P. Gupta
author_facet V. P. Saxena
M. P. Gupta
author_sort V. P. Saxena
collection DOAJ
description An attempt has been made to study cross sectional temperature distribution in in-vivo tissues of a human limb employing variational finite element approach. The outermost surface of the limb is assumed to be exposed to the atmosphere. The physiological and physical parameters like rate of metabolic heat generation (rmhg), blood mass flow rate (bmfr) and thermal conductivity are assumed to vary in the subregions independently. Numerical results have been obtained for various cases of practical interest.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1994-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d4d107e2666741ce8ebe8280d69804862025-02-03T06:48:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117477177810.1155/S0161171294001079Variational finite element approach to a heat flow problem in human limbsV. P. Saxena0M. P. Gupta1School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, IndiaSchool of Mathematics and Allied Sciences, Jiwaji University, Gwalior, IndiaAn attempt has been made to study cross sectional temperature distribution in in-vivo tissues of a human limb employing variational finite element approach. The outermost surface of the limb is assumed to be exposed to the atmosphere. The physiological and physical parameters like rate of metabolic heat generation (rmhg), blood mass flow rate (bmfr) and thermal conductivity are assumed to vary in the subregions independently. Numerical results have been obtained for various cases of practical interest.http://dx.doi.org/10.1155/S0161171294001079metabolic heat generation; blood mass flow; thermal conductivity; finite element method.
spellingShingle V. P. Saxena
M. P. Gupta
Variational finite element approach to a heat flow problem in human limbs
International Journal of Mathematics and Mathematical Sciences
metabolic heat generation; blood mass flow; thermal conductivity; finite element method.
title Variational finite element approach to a heat flow problem in human limbs
title_full Variational finite element approach to a heat flow problem in human limbs
title_fullStr Variational finite element approach to a heat flow problem in human limbs
title_full_unstemmed Variational finite element approach to a heat flow problem in human limbs
title_short Variational finite element approach to a heat flow problem in human limbs
title_sort variational finite element approach to a heat flow problem in human limbs
topic metabolic heat generation; blood mass flow; thermal conductivity; finite element method.
url http://dx.doi.org/10.1155/S0161171294001079
work_keys_str_mv AT vpsaxena variationalfiniteelementapproachtoaheatflowprobleminhumanlimbs
AT mpgupta variationalfiniteelementapproachtoaheatflowprobleminhumanlimbs