Finite element modeling of heat propagation of a complete rod of constant cross-section
In this paper, the definition of the temperature distribution field for a rod made of heat-resistant alloy EI48 is introduced. The authors consider for the study a complete rod of circular cross-section of radius R, of limited length L. Studied body is under the influence of a heat flow q f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2022-12-01
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| Series: | Қарағанды университетінің хабаршысы. Физика сериясы |
| Online Access: | https://physics-vestnik.ksu.kz/apart/2022-108-4/10.pdf |
| _version_ | 1797686586666647552 |
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| author | B.Z. Kenzhegulov S.B. Kenzhegulova D.B. Alibiyev A.Sh. Kazhikenova |
| author_facet | B.Z. Kenzhegulov S.B. Kenzhegulova D.B. Alibiyev A.Sh. Kazhikenova |
| author_sort | B.Z. Kenzhegulov |
| collection | DOAJ |
| description | In this paper, the definition of the temperature distribution field for a rod made of heat-resistant alloy EI48 is introduced. The authors consider for the study a complete rod of circular cross-section of radius R, of limited length L. Studied body is under the influence of a heat flow q from the surface over the entire cross-sectional area of the left end, and heat exchange with the environment occurs on the cross-sectional area of the right end. The rod is thermally insulated along the side surface. The authors consider two cases: the first is the heat flow with intensity q can be set on the area of a small circle with radius r <R, the second is the heat flow can be set on its part, that is, on the area 2 2 R . During the study, the authors showed that during the thermomechanical process, the strength of each section of the load-bearing structural elements is significantly influenced by the temperature distribution field. The influence of high temperature on the morphology of heat-resistant alloys is also shown. This leads to the fact that in some parts of the structural elements the temperature will be acceptable, and in some — critical. As a result, rapid wear of structural elements and loss of their physical qualities occur. Therefore, mathematical modeling of temperature distribution field for a body of various configurations is an urgent problem. The article presents a method for constructing a mathematical model and a corresponding computational algorithm that allows solving a class of problems to determine the regularities of the temperature distribution field in the elements of rod-shaped structures. To do this, the authors used the energy-variation principle in combination with the finite element method. |
| first_indexed | 2024-03-12T01:08:06Z |
| format | Article |
| id | doaj.art-baa858662a014d7887f5bc47819485e5 |
| institution | Directory Open Access Journal |
| issn | 2518-7198 2663-5089 |
| language | English |
| last_indexed | 2024-03-12T01:08:06Z |
| publishDate | 2022-12-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Физика сериясы |
| spelling | doaj.art-baa858662a014d7887f5bc47819485e52023-09-14T08:47:47ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Физика сериясы2518-71982663-50892022-12-0110849410510.31489/2022PH4/94-105Finite element modeling of heat propagation of a complete rod of constant cross-sectionB.Z. KenzhegulovS.B. KenzhegulovaD.B. AlibiyevA.Sh. Kazhikenova In this paper, the definition of the temperature distribution field for a rod made of heat-resistant alloy EI48 is introduced. The authors consider for the study a complete rod of circular cross-section of radius R, of limited length L. Studied body is under the influence of a heat flow q from the surface over the entire cross-sectional area of the left end, and heat exchange with the environment occurs on the cross-sectional area of the right end. The rod is thermally insulated along the side surface. The authors consider two cases: the first is the heat flow with intensity q can be set on the area of a small circle with radius r <R, the second is the heat flow can be set on its part, that is, on the area 2 2 R . During the study, the authors showed that during the thermomechanical process, the strength of each section of the load-bearing structural elements is significantly influenced by the temperature distribution field. The influence of high temperature on the morphology of heat-resistant alloys is also shown. This leads to the fact that in some parts of the structural elements the temperature will be acceptable, and in some — critical. As a result, rapid wear of structural elements and loss of their physical qualities occur. Therefore, mathematical modeling of temperature distribution field for a body of various configurations is an urgent problem. The article presents a method for constructing a mathematical model and a corresponding computational algorithm that allows solving a class of problems to determine the regularities of the temperature distribution field in the elements of rod-shaped structures. To do this, the authors used the energy-variation principle in combination with the finite element method.https://physics-vestnik.ksu.kz/apart/2022-108-4/10.pdf |
| spellingShingle | B.Z. Kenzhegulov S.B. Kenzhegulova D.B. Alibiyev A.Sh. Kazhikenova Finite element modeling of heat propagation of a complete rod of constant cross-section Қарағанды университетінің хабаршысы. Физика сериясы |
| title | Finite element modeling of heat propagation of a complete rod of constant cross-section |
| title_full | Finite element modeling of heat propagation of a complete rod of constant cross-section |
| title_fullStr | Finite element modeling of heat propagation of a complete rod of constant cross-section |
| title_full_unstemmed | Finite element modeling of heat propagation of a complete rod of constant cross-section |
| title_short | Finite element modeling of heat propagation of a complete rod of constant cross-section |
| title_sort | finite element modeling of heat propagation of a complete rod of constant cross section |
| url | https://physics-vestnik.ksu.kz/apart/2022-108-4/10.pdf |
| work_keys_str_mv | AT bzkenzhegulov finiteelementmodelingofheatpropagationofacompleterodofconstantcrosssection AT sbkenzhegulova finiteelementmodelingofheatpropagationofacompleterodofconstantcrosssection AT dbalibiyev finiteelementmodelingofheatpropagationofacompleterodofconstantcrosssection AT ashkazhikenova finiteelementmodelingofheatpropagationofacompleterodofconstantcrosssection |