Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning
The finning of heat-transmitting surfaces is widely used in technics for heat-exchange surface increasing. The finning forms are rather various. The finning not only increases a heat-exchange surface, but also renders the big influence at stream hydrodynamics, and thus at heat-emission factor. The m...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | Russian |
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Journal of Mechanical Engineering
2018
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| Онлайн доступ: | https://journals.uran.ua/jme/article/view/121479 |
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| Назва журналу: | Journal of Mechanical Engineering |
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Journal of Mechanical Engineering| id |
journalsuranuajme-article-121479 |
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ojs |
| institution |
Journal of Mechanical Engineering |
| collection |
OJS |
| language |
Russian |
| topic |
R-functions theory Ritz method heat transfer fuel element cladding polyzonal and herring-bone finning 3D-printer УДК 517.95 518.517 теория R-функций метод Ритца теплообмен оболочка ТВЭЛа полизональное оребрение УДК 517.95 518.517 теорія R-функцій метод Рітца теплообмін оболонка ТВЕЛа полізональне оребрення УДК 517.95 518.517 |
| spellingShingle |
R-functions theory Ritz method heat transfer fuel element cladding polyzonal and herring-bone finning 3D-printer УДК 517.95 518.517 теория R-функций метод Ритца теплообмен оболочка ТВЭЛа полизональное оребрение УДК 517.95 518.517 теорія R-функцій метод Рітца теплообмін оболонка ТВЕЛа полізональне оребрення УДК 517.95 518.517 Максименко-Шейко, К. В. Литвинова, Ю. С. Шейко, Т. И. Хажмурадов, М. А. Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| topic_facet |
R-functions theory Ritz method heat transfer fuel element cladding polyzonal and herring-bone finning 3D-printer УДК 517.95 518.517 теория R-функций метод Ритца теплообмен оболочка ТВЭЛа полизональное оребрение УДК 517.95 518.517 теорія R-функцій метод Рітца теплообмін оболонка ТВЕЛа полізональне оребрення УДК 517.95 518.517 |
| format |
Article |
| author |
Максименко-Шейко, К. В. Литвинова, Ю. С. Шейко, Т. И. Хажмурадов, М. А. |
| author_facet |
Максименко-Шейко, К. В. Литвинова, Ю. С. Шейко, Т. И. Хажмурадов, М. А. |
| author_sort |
Максименко-Шейко, К. В. |
| title |
Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_short |
Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_full |
Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_fullStr |
Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_full_unstemmed |
Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_sort |
mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning |
| title_alt |
Математическое моделирование теплообмена при течении жидкости для ТВЭЛа с полизональным оребрением оболочки Математическое моделирование теплообмена при течении жидкости для ТВЭЛа с полизональным оребрением оболочки |
| description |
The finning of heat-transmitting surfaces is widely used in technics for heat-exchange surface increasing. The finning forms are rather various. The finning not only increases a heat-exchange surface, but also renders the big influence at stream hydrodynamics, and thus at heat-emission factor. The more favourable finning forms (so-called polyzonal and herring-bone) have been developed during experiments with various finning methods of fuel element claddings. The lacks of herring-bone surfaces are the high labour input and the cost price of manufacturing. These lacks can be removed due to the 3D-printing technology, since the advantages of 3D-printers using are the decrease of the cost price of production manufacturing, the reduction of its occurrence terms at the market, the modeling of objects of any form and complexity, the speed and high accuracy of manufacturing, the possibility of use of the various materials maintaining high temperature, intensive mechanical loadings and influence of harmful chemical substances. It is necessary to create the computer 3D-model of desirable object during preparation for 3D-printing. The analysis of classical representations has shown that their practical application is limited or demands significant efforts for construction of models of complex geometrical objects. One of the most perspective is the functional representation based at the using of implicit mathematical functions language with constructive tools of the R-functions theory developed by academician V.L. Rvachev. The developed techniques of construction of the equations of various finning surfaces at the R-functions theory basis and their subsequent 3D-realization are shown. The research of hydrodynamical and temperature fields at polyzonal finning of fuel element cladding are resulted. The consecutive construction of the longitudinal, polyzonal and herring-bone finnings equations of the fuel element claddings allows to track the algorithm complication process due to corresponding superpositions in the initial equation which kind does not change. It is one of examples of advantage of the geometrical objects' analytical identification realized with the R-functions help. The analytical description of the designed objects enables to use symbolic geometrical parameters, complicated superposition of functions consequently allowing to change the design elements of these objects. The results of the velocity and temperature fields research for various values of twisting parameter, testifying that the warming up in the intercostal zone increases with increase in value of twisting parameter, are shown. |
| publisher |
Journal of Mechanical Engineering |
| publishDate |
2018 |
| url |
https://journals.uran.ua/jme/article/view/121479 |
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2024-06-01T14:43:51Z |
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journalsuranuajme-article-1214792018-01-22T11:39:33Z Mathematical modeling of heat exchanger with liquid flow for tube with polyzone finning Математическое моделирование теплообмена при течении жидкости для ТВЭЛа с полизональным оребрением оболочки Математическое моделирование теплообмена при течении жидкости для ТВЭЛа с полизональным оребрением оболочки Максименко-Шейко, К. В. Литвинова, Ю. С. Шейко, Т. И. Хажмурадов, М. А. R-functions theory Ritz method heat transfer fuel element cladding polyzonal and herring-bone finning 3D-printer УДК 517.95 518.517 теория R-функций метод Ритца теплообмен оболочка ТВЭЛа полизональное оребрение УДК 517.95 518.517 теорія R-функцій метод Рітца теплообмін оболонка ТВЕЛа полізональне оребрення УДК 517.95 518.517 The finning of heat-transmitting surfaces is widely used in technics for heat-exchange surface increasing. The finning forms are rather various. The finning not only increases a heat-exchange surface, but also renders the big influence at stream hydrodynamics, and thus at heat-emission factor. The more favourable finning forms (so-called polyzonal and herring-bone) have been developed during experiments with various finning methods of fuel element claddings. The lacks of herring-bone surfaces are the high labour input and the cost price of manufacturing. These lacks can be removed due to the 3D-printing technology, since the advantages of 3D-printers using are the decrease of the cost price of production manufacturing, the reduction of its occurrence terms at the market, the modeling of objects of any form and complexity, the speed and high accuracy of manufacturing, the possibility of use of the various materials maintaining high temperature, intensive mechanical loadings and influence of harmful chemical substances. It is necessary to create the computer 3D-model of desirable object during preparation for 3D-printing. The analysis of classical representations has shown that their practical application is limited or demands significant efforts for construction of models of complex geometrical objects. One of the most perspective is the functional representation based at the using of implicit mathematical functions language with constructive tools of the R-functions theory developed by academician V.L. Rvachev. The developed techniques of construction of the equations of various finning surfaces at the R-functions theory basis and their subsequent 3D-realization are shown. The research of hydrodynamical and temperature fields at polyzonal finning of fuel element cladding are resulted. The consecutive construction of the longitudinal, polyzonal and herring-bone finnings equations of the fuel element claddings allows to track the algorithm complication process due to corresponding superpositions in the initial equation which kind does not change. It is one of examples of advantage of the geometrical objects' analytical identification realized with the R-functions help. The analytical description of the designed objects enables to use symbolic geometrical parameters, complicated superposition of functions consequently allowing to change the design elements of these objects. The results of the velocity and temperature fields research for various values of twisting parameter, testifying that the warming up in the intercostal zone increases with increase in value of twisting parameter, are shown. Приведены разработанные методики построения уравнений различных поверхностей оребрения на основе теории R-функций с их последующей реализацией на 3D-принтере и исследования гидродинамических и температурных полей при полизональном оребрении оболочки ТВЭЛа. В ходе экспериментов с различными методами оребрения оболочек ТВЭЛов были разработаны более выгодные формы оребрения, так называемые полизональное и шевронное, реализацию которых предлагается выполнять на 3D-принтере. С точки зрения универсальности одним из наиболее перспективных выглядит функциональное представление с конструктивными возможностями теории R-функций. Приведены результаты исследования поля скоростей и температурного поля для различных значений параметров закрутки и оребрения. Наведено розроблені методики побудови рівнянь різних поверхонь оребрення на основі теорії R-функцій з подальшою реалізацією на 3D-принтері та дослідження гідродинамічних і температурних полів при полізональному оребренні оболонки ТВЕЛа. У ході експериментів з різними методами оребрення оболонок ТВЕЛів були розроблені найбільш вигідні форми оребрення, так звані полізональне і шевронне, реалізацію яких пропонується виконувати на 3D-принтері. З погляду універсальності одним з найбільш перспективних є функціональне представлення з конструктивними можливостями теорії R-функцій. Наведено результати дослідження поля швидкостей і температурного поля для різних значень параметрів закрутки та оребрення. Journal of Mechanical Engineering Проблемы машиностроения Проблеми машинобудування 2018-01-22 Article Article application/pdf https://journals.uran.ua/jme/article/view/121479 Journal of Mechanical Engineering; Vol. 20 No. 4 (2017); 58-63 Проблемы машиностроения; Том 20 № 4 (2017); 58-63 Проблеми машинобудування; Том 20 № 4 (2017); 58-63 2709-2992 2709-2984 ru https://journals.uran.ua/jme/article/view/121479/116596 Copyright (c) 2018 К. В. Максименко-Шейко, Ю. С. Литвинова, Т. И. Шейко, М. А. Хажмурадов https://creativecommons.org/licenses/by-nd/4.0 |