A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement
An unconventional method for solving the heat transfer problem for free convection near the vertical surfaces of the enclosing structures is proposed. It is based on the laws of thermodynamics of irreversible processes. A variational principle is used to find the unknown functions that analytically...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201817003012 |
| _version_ | 1818731975802880000 |
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| author | Aksenov Andrey |
| author_facet | Aksenov Andrey |
| author_sort | Aksenov Andrey |
| collection | DOAJ |
| description | An unconventional method for solving the heat transfer problem for free convection near the vertical surfaces of the enclosing structures is proposed. It is based on the laws of thermodynamics of irreversible processes. A variational principle is used to find the unknown functions that analytically express the velocity fields and other flow quantities in the boundary layer near the vertical walls. A variational formulation of the hydrodynamic and thermal boundary layer near a vertical plane surface in conditions of free convection is given. It is given an analytical solution of the problem of the distribution of the vertical component of velocity and temperature in the wall boundary layer in the laminar flow. Theoretical formulas for the thickness of the boundary layer are obtained, as well as for the local and mean values of convective heat transfer coefficient. |
| first_indexed | 2024-12-17T23:26:13Z |
| format | Article |
| id | doaj.art-739371bb634f45b0a91fd54f00375e17 |
| institution | Directory Open Access Journal |
| issn | 2261-236X |
| language | English |
| last_indexed | 2024-12-17T23:26:13Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | MATEC Web of Conferences |
| spelling | doaj.art-739371bb634f45b0a91fd54f00375e172022-12-21T21:28:46ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011700301210.1051/matecconf/201817003012matecconf_spbwosce2018_03012A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movementAksenov AndreyAn unconventional method for solving the heat transfer problem for free convection near the vertical surfaces of the enclosing structures is proposed. It is based on the laws of thermodynamics of irreversible processes. A variational principle is used to find the unknown functions that analytically express the velocity fields and other flow quantities in the boundary layer near the vertical walls. A variational formulation of the hydrodynamic and thermal boundary layer near a vertical plane surface in conditions of free convection is given. It is given an analytical solution of the problem of the distribution of the vertical component of velocity and temperature in the wall boundary layer in the laminar flow. Theoretical formulas for the thickness of the boundary layer are obtained, as well as for the local and mean values of convective heat transfer coefficient.https://doi.org/10.1051/matecconf/201817003012 |
| spellingShingle | Aksenov Andrey A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement MATEC Web of Conferences |
| title | A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| title_full | A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| title_fullStr | A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| title_full_unstemmed | A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| title_short | A variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| title_sort | variational method in the problem of convective heat transfer near the vertical plane of the outer building fence in terms of free air movement |
| url | https://doi.org/10.1051/matecconf/201817003012 |
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