ON THE CONTROL OF THE HEAT CONDUCTION

Mathematical models of thermo control processes in a rectangular plate are considered. In the model under consideration, the temperature inside a plate is controlled by heat exchange through one boundary while the other three are insulated. The control parameter is a function that satisfies certain...

Full description

Bibliographic Details
Main Author: Yusuf Ergashivich Fayziev
Format: Article
Language:English
Published: IIUM Press, International Islamic University Malaysia 2018-06-01
Series:International Islamic University Malaysia Engineering Journal
Online Access:https://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/796
id doaj-f0694edb6ed34b679602efe603d89496
record_format Article
spelling doaj-f0694edb6ed34b679602efe603d894962020-11-25T03:00:25ZengIIUM Press, International Islamic University MalaysiaInternational Islamic University Malaysia Engineering Journal1511-788X2289-78602018-06-0119116817710.31436/iiumej.v19i1.796604ON THE CONTROL OF THE HEAT CONDUCTIONYusuf Ergashivich Fayziev0National University of UzbekistanMathematical models of thermo control processes in a rectangular plate are considered. In the model under consideration, the temperature inside a plate is controlled by heat exchange through one boundary while the other three are insulated. The control parameter is a function that satisfies certain integral equations. Sufficient conditions for achieving the given projection of the temperature at a fixed point on the plate and given average temperature are studied. ABSTRAK: Model matematik bagi proses kawalan suhu dalam bekas segi empat tepat telah dipilih. Melalui model ini, suhu bekas dikawal dengan menukar haba melalui salah satu sisi bekas, manakala tiga sisi lain telah ditebat. Parameter kawalan ini ialah fungsi, di mana ia sesuai dengan persamaan sesetengah integral. Keadaan sesuai bagi mencapai suhu tetap bekas seperti cadangan dan suhu purata yang diberikan turut dikaji.https://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/796
collection DOAJ
language English
format Article
sources DOAJ
author Yusuf Ergashivich Fayziev
spellingShingle Yusuf Ergashivich Fayziev
ON THE CONTROL OF THE HEAT CONDUCTION
International Islamic University Malaysia Engineering Journal
author_facet Yusuf Ergashivich Fayziev
author_sort Yusuf Ergashivich Fayziev
title ON THE CONTROL OF THE HEAT CONDUCTION
title_short ON THE CONTROL OF THE HEAT CONDUCTION
title_full ON THE CONTROL OF THE HEAT CONDUCTION
title_fullStr ON THE CONTROL OF THE HEAT CONDUCTION
title_full_unstemmed ON THE CONTROL OF THE HEAT CONDUCTION
title_sort on the control of the heat conduction
publisher IIUM Press, International Islamic University Malaysia
series International Islamic University Malaysia Engineering Journal
issn 1511-788X
2289-7860
publishDate 2018-06-01
description Mathematical models of thermo control processes in a rectangular plate are considered. In the model under consideration, the temperature inside a plate is controlled by heat exchange through one boundary while the other three are insulated. The control parameter is a function that satisfies certain integral equations. Sufficient conditions for achieving the given projection of the temperature at a fixed point on the plate and given average temperature are studied. ABSTRAK: Model matematik bagi proses kawalan suhu dalam bekas segi empat tepat telah dipilih. Melalui model ini, suhu bekas dikawal dengan menukar haba melalui salah satu sisi bekas, manakala tiga sisi lain telah ditebat. Parameter kawalan ini ialah fungsi, di mana ia sesuai dengan persamaan sesetengah integral. Keadaan sesuai bagi mencapai suhu tetap bekas seperti cadangan dan suhu purata yang diberikan turut dikaji.
url https://journals.iium.edu.my/ejournal/index.php/iiumej/article/view/796
work_keys_str_mv AT yusufergashivichfayziev onthecontroloftheheatconduction
_version_ 1724698332114190336