Unsteady state temperature fields in a slab induced by line sources

Jaakko Saastamoinen

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

Abstract

Solutions for the unsteady state temperature fields and heat fluxes from the surfaces due to single or multiple line sources in a slab and in a semi-infinite solid are derived by using integral transform techniques.
The convective boundary condition (boundary condition of the third kind) is applied at the surfaces. Responses to a step change in the coil power are given. Also a cyclic case is studied, in which power in coils is alternately switched on and off as described by a cyclic square wave function.
As an application the use of a floor or a wall as storage of heat from electric cables is discussed and equations applicable for dimensioning of the heat storage system and simulation of operation are given. The temperature isotherms generated by a line source are approximately circular in the vicinity of the line source.
Based on this an approximate method to calculate heat losses in steady state from single or several pipes in a slab or ground with convective heat transfer at surface is illustrated.
Original languageEnglish
Pages (from-to)756-765
JournalInternational Journal of Heat and Mass Transfer
Volume50
Issue number3 - 4
DOIs
Publication statusPublished - 2007
MoE publication typeA1 Journal article-refereed

Fingerprint

unsteady state
slabs
Temperature distribution
temperature distribution
coils
Electric cables
Boundary conditions
boundary conditions
heat storage
heat
integral transformations
Heat storage
convective heat transfer
square waves
Wave functions
Heat losses
cables
Isotherms
Heat flux
heat flux

Keywords

  • line source
  • transient heat conduction
  • heat storage
  • electric heating
  • heat losses from pipes
  • heat flux
  • heat transfer

Cite this

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title = "Unsteady state temperature fields in a slab induced by line sources",
abstract = "Solutions for the unsteady state temperature fields and heat fluxes from the surfaces due to single or multiple line sources in a slab and in a semi-infinite solid are derived by using integral transform techniques. The convective boundary condition (boundary condition of the third kind) is applied at the surfaces. Responses to a step change in the coil power are given. Also a cyclic case is studied, in which power in coils is alternately switched on and off as described by a cyclic square wave function. As an application the use of a floor or a wall as storage of heat from electric cables is discussed and equations applicable for dimensioning of the heat storage system and simulation of operation are given. The temperature isotherms generated by a line source are approximately circular in the vicinity of the line source. Based on this an approximate method to calculate heat losses in steady state from single or several pipes in a slab or ground with convective heat transfer at surface is illustrated.",
keywords = "line source, transient heat conduction, heat storage, electric heating, heat losses from pipes, heat flux, heat transfer",
author = "Jaakko Saastamoinen",
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language = "English",
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Unsteady state temperature fields in a slab induced by line sources. / Saastamoinen, Jaakko.

In: International Journal of Heat and Mass Transfer, Vol. 50, No. 3 - 4, 2007, p. 756-765.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Unsteady state temperature fields in a slab induced by line sources

AU - Saastamoinen, Jaakko

PY - 2007

Y1 - 2007

N2 - Solutions for the unsteady state temperature fields and heat fluxes from the surfaces due to single or multiple line sources in a slab and in a semi-infinite solid are derived by using integral transform techniques. The convective boundary condition (boundary condition of the third kind) is applied at the surfaces. Responses to a step change in the coil power are given. Also a cyclic case is studied, in which power in coils is alternately switched on and off as described by a cyclic square wave function. As an application the use of a floor or a wall as storage of heat from electric cables is discussed and equations applicable for dimensioning of the heat storage system and simulation of operation are given. The temperature isotherms generated by a line source are approximately circular in the vicinity of the line source. Based on this an approximate method to calculate heat losses in steady state from single or several pipes in a slab or ground with convective heat transfer at surface is illustrated.

AB - Solutions for the unsteady state temperature fields and heat fluxes from the surfaces due to single or multiple line sources in a slab and in a semi-infinite solid are derived by using integral transform techniques. The convective boundary condition (boundary condition of the third kind) is applied at the surfaces. Responses to a step change in the coil power are given. Also a cyclic case is studied, in which power in coils is alternately switched on and off as described by a cyclic square wave function. As an application the use of a floor or a wall as storage of heat from electric cables is discussed and equations applicable for dimensioning of the heat storage system and simulation of operation are given. The temperature isotherms generated by a line source are approximately circular in the vicinity of the line source. Based on this an approximate method to calculate heat losses in steady state from single or several pipes in a slab or ground with convective heat transfer at surface is illustrated.

KW - line source

KW - transient heat conduction

KW - heat storage

KW - electric heating

KW - heat losses from pipes

KW - heat flux

KW - heat transfer

U2 - 10.1016/j.ijheatmasstransfer.2006.07.001

DO - 10.1016/j.ijheatmasstransfer.2006.07.001

M3 - Article

VL - 50

SP - 756

EP - 765

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 3 - 4

ER -