WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES
Side shoots and plant branches unlike trunks are often not rectilinear — they can be compared with various mathematical curves. Xylem of such branches copies their curvilinearity. It motivates the spatial curvature of the chains of its tracheids and vessels. A mathematical model of water lifting and...
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| Format: | Article |
| Language: | Russian |
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Don State Technical University
2013-09-01
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| Series: | Advanced Engineering Research |
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| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/424 |
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| author | Iosif Anshelevich Kipnis Yury Mikhailovich Vernigorov |
| author_facet | Iosif Anshelevich Kipnis Yury Mikhailovich Vernigorov |
| author_sort | Iosif Anshelevich Kipnis |
| collection | DOAJ |
| description | Side shoots and plant branches unlike trunks are often not rectilinear — they can be compared with various mathematical curves. Xylem of such branches copies their curvilinearity. It motivates the spatial curvature of the chains of its tracheids and vessels. A mathematical model of water lifting and distribution caused by the surface tension forces in the symmetrical curved capillary branches of various configurations is considered. The process analysis shows that with the expansion in number of branches, water advancing in the curvilinear capillary system increases. Water volume rising in the side curvilinear capillary branches, other factors being equal, is greater than in rectilinear ones. It is found that the total water rise height in the vertical (rectilinear) capillary — if there are side curvilinear capillaries — increases, and it does not depend on the type of the function that describes the curvature of the lateral curvilinear capillaries. |
| format | Article |
| id | doaj-art-9a955abca6484f82916fa52f27ee2dfd |
| institution | Kabale University |
| issn | 2687-1653 |
| language | Russian |
| publishDate | 2013-09-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj-art-9a955abca6484f82916fa52f27ee2dfd2025-08-20T03:35:40ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532013-09-01135-611011910.12737/1288417WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIESIosif Anshelevich Kipnis0Yury Mikhailovich Vernigorov1“KASIOR” Research and Production Company (“NPF KASIOR” LLC). RussiaDon State Technical University. RussiaSide shoots and plant branches unlike trunks are often not rectilinear — they can be compared with various mathematical curves. Xylem of such branches copies their curvilinearity. It motivates the spatial curvature of the chains of its tracheids and vessels. A mathematical model of water lifting and distribution caused by the surface tension forces in the symmetrical curved capillary branches of various configurations is considered. The process analysis shows that with the expansion in number of branches, water advancing in the curvilinear capillary system increases. Water volume rising in the side curvilinear capillary branches, other factors being equal, is greater than in rectilinear ones. It is found that the total water rise height in the vertical (rectilinear) capillary — if there are side curvilinear capillaries — increases, and it does not depend on the type of the function that describes the curvature of the lateral curvilinear capillaries.https://www.vestnik-donstu.ru/jour/article/view/424curvilinear capillarybranchxylemtranspirationplantmodel. |
| spellingShingle | Iosif Anshelevich Kipnis Yury Mikhailovich Vernigorov WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES Advanced Engineering Research curvilinear capillary branch xylem transpiration plant model. |
| title | WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES |
| title_full | WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES |
| title_fullStr | WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES |
| title_full_unstemmed | WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES |
| title_short | WATER RISE MATHEMATICAL MODEL IN SIMPLE CURVILINEAR CAPILLARIES |
| title_sort | water rise mathematical model in simple curvilinear capillaries |
| topic | curvilinear capillary branch xylem transpiration plant model. |
| url | https://www.vestnik-donstu.ru/jour/article/view/424 |
| work_keys_str_mv | AT iosifanshelevichkipnis waterrisemathematicalmodelinsimplecurvilinearcapillaries AT yurymikhailovichvernigorov waterrisemathematicalmodelinsimplecurvilinearcapillaries |