Conduction of heat through one- and multilayer slabs

A differential-difference approach

Jouko Pakanen

Research output: Contribution to journalArticleScientificpeer-review

4 Citations (Scopus)

Abstract

A novel method for calculating transient heat flow through slabs and walls is presented. The method is based on differential-difference equation of heat conduction with continuous space variable and discretized time variable. The method needs no nodal points inside the slab during computation of temperatures. Thus the time step need not be adjusted according to the thin layers of the wall. Because differential-difference solutions are partly numerical, better accuracy is achieved by analytical methods. However, in multilayer environments the new method turns out to be more straightforward, since no transcendental equations need to be solved numerically, contrary to analytical methods.
Original languageEnglish
Pages (from-to)67-91
Number of pages25
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume30
Issue number1
DOIs
Publication statusPublished - 1996
MoE publication typeA1 Journal article-refereed

Fingerprint

Conduction
Multilayer
Multilayers
slabs
Heat
conduction
heat
difference equations
Difference equations
Analytical Methods
Heat conduction
heat transmission
conductive heat transfer
Heat transfer
Transient Flow
Numerical Accuracy
Differential-difference Equations
Transcendental
Heat Flow
Thin Layer

Cite this

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title = "Conduction of heat through one- and multilayer slabs: A differential-difference approach",
abstract = "A novel method for calculating transient heat flow through slabs and walls is presented. The method is based on differential-difference equation of heat conduction with continuous space variable and discretized time variable. The method needs no nodal points inside the slab during computation of temperatures. Thus the time step need not be adjusted according to the thin layers of the wall. Because differential-difference solutions are partly numerical, better accuracy is achieved by analytical methods. However, in multilayer environments the new method turns out to be more straightforward, since no transcendental equations need to be solved numerically, contrary to analytical methods.",
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}

Conduction of heat through one- and multilayer slabs : A differential-difference approach. / Pakanen, Jouko.

In: Numerical Heat Transfer, Part B: Fundamentals, Vol. 30, No. 1, 1996, p. 67-91.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Conduction of heat through one- and multilayer slabs

T2 - A differential-difference approach

AU - Pakanen, Jouko

PY - 1996

Y1 - 1996

N2 - A novel method for calculating transient heat flow through slabs and walls is presented. The method is based on differential-difference equation of heat conduction with continuous space variable and discretized time variable. The method needs no nodal points inside the slab during computation of temperatures. Thus the time step need not be adjusted according to the thin layers of the wall. Because differential-difference solutions are partly numerical, better accuracy is achieved by analytical methods. However, in multilayer environments the new method turns out to be more straightforward, since no transcendental equations need to be solved numerically, contrary to analytical methods.

AB - A novel method for calculating transient heat flow through slabs and walls is presented. The method is based on differential-difference equation of heat conduction with continuous space variable and discretized time variable. The method needs no nodal points inside the slab during computation of temperatures. Thus the time step need not be adjusted according to the thin layers of the wall. Because differential-difference solutions are partly numerical, better accuracy is achieved by analytical methods. However, in multilayer environments the new method turns out to be more straightforward, since no transcendental equations need to be solved numerically, contrary to analytical methods.

U2 - 10.1080/10407799608915072

DO - 10.1080/10407799608915072

M3 - Article

VL - 30

SP - 67

EP - 91

JO - Numerical Heat Transfer, Part B: Fundamentals

JF - Numerical Heat Transfer, Part B: Fundamentals

SN - 1040-7790

IS - 1

ER -