Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs
The main object of this paper is to Introduce the Pseudo Analytic Finite Partition method and to illustrate its use in solving physiological heat distribution problems pertaining to limbs and similar body organs. A two dimensional circular region resembling the cross section of a human or animal lim...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000475 |
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| author | V. P. Saxena J. S. Bindra |
| author_facet | V. P. Saxena J. S. Bindra |
| author_sort | V. P. Saxena |
| collection | DOAJ |
| description | The main object of this paper is to Introduce the Pseudo Analytic Finite
Partition method and to illustrate its use in solving physiological heat distribution
problems pertaining to limbs and similar body organs. A two dimensional circular
region resembling the cross section of a human or animal limb is considered. The
biological properties are assumed to vary along the radial direction. The theoretical
model incorporates the effect of blood mass flow and metabolic heat generation. The
region is divided into annular sub-regions and Ritz variational finite element method
is applied along the radial direction, while for the angular direction, Fourier Series
has been used due to uniformity in each annular part. |
| format | Article |
| id | doaj-art-c441e024cda84bc4852ca455f5983b28 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c441e024cda84bc4852ca455f5983b282025-02-03T05:57:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112240340810.1155/S0161171289000475Pseudo-analytic finite partition approach to temperature distribution problem in Human limbsV. P. Saxena0J. S. Bindra1School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, IndiaDepartment of Applied Sciences, Mathematics Section, G.N. Engineering College, Ludhiana, IndiaThe main object of this paper is to Introduce the Pseudo Analytic Finite Partition method and to illustrate its use in solving physiological heat distribution problems pertaining to limbs and similar body organs. A two dimensional circular region resembling the cross section of a human or animal limb is considered. The biological properties are assumed to vary along the radial direction. The theoretical model incorporates the effect of blood mass flow and metabolic heat generation. The region is divided into annular sub-regions and Ritz variational finite element method is applied along the radial direction, while for the angular direction, Fourier Series has been used due to uniformity in each annular part.http://dx.doi.org/10.1155/S0161171289000475 |
| spellingShingle | V. P. Saxena J. S. Bindra Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs International Journal of Mathematics and Mathematical Sciences |
| title | Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs |
| title_full | Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs |
| title_fullStr | Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs |
| title_full_unstemmed | Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs |
| title_short | Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs |
| title_sort | pseudo analytic finite partition approach to temperature distribution problem in human limbs |
| url | http://dx.doi.org/10.1155/S0161171289000475 |
| work_keys_str_mv | AT vpsaxena pseudoanalyticfinitepartitionapproachtotemperaturedistributionprobleminhumanlimbs AT jsbindra pseudoanalyticfinitepartitionapproachtotemperaturedistributionprobleminhumanlimbs |