Conduction of Heat Through One- And Multilayer Slabs: A Differential-Difference Approach

Pakanen, Jouko

doi:10.1080/10407799608915072

Cited by 5 publications

(2 citation statements)

References 5 publications

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“…The applied differential-difference approach was earlier introduced by Pakanen (1996). He used the method in computing conduction of heat through slabs.…”

Section: The Complete Solution Of the Differential-difference Equationmentioning

confidence: 99%

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A Differential-difference Approach for the Modeling of Electrical Floor Heating Systems

Pakanen

Saastamoinen

2009

Journal of Building Physics

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During recent years, many papers have been published concerning dimensioning, analysis, and control of floor heating. A central issue in all these activities is to create a suitable model, which explains the thermal behavior of the floor and its environment. The article introduces a differential-difference approach, which is believed to be new in floor heating modeling. The proposed method is applied in a slab, a semi-infinite and infinite solid, which are connected to electrical heating. The results are compared with the corresponding analytical solution. This also concerns the proportional heating control applied in the infinite solid. The comparison reveals the characteristic features of the differential-difference solution, which are briefly discussed. The first results are encouraging and show good model behavior.

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“…The applied differential-difference approach was earlier introduced by Pakanen (1996). He used the method in computing conduction of heat through slabs.…”

Section: The Complete Solution Of the Differential-difference Equationmentioning

confidence: 99%

“…In the above equation, index n refers to the time step np, starting from the current time instant n ¼ 0. If x is finite, functions a n (x) and b n (x) consist of algebraic hyperbolic functions (Pakanen, 1996), defined as…”

Section: The Complete Solution Of the Differential-difference Equationmentioning

confidence: 99%

A Differential-difference Approach for the Modeling of Electrical Floor Heating Systems

Pakanen

Saastamoinen

2009

Journal of Building Physics

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Heat transfer — a review of 1996 literature

Eckert

Goldstein

Ibele

et al. 2000

International Journal of Heat and Mass Transfer

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A Sequential One-Dimensional Solution for the Sideways Heat Equation in a Semi-Infinite, Finite, and Multilayer Slab

Pakanen

2012

Numerical Heat Transfer, Part B: Fundamentals

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Conduction of Heat Through One- And Multilayer Slabs: A Differential-Difference Approach

Cited by 5 publications

References 5 publications

A Differential-difference Approach for the Modeling of Electrical Floor Heating Systems

A Differential-difference Approach for the Modeling of Electrical Floor Heating Systems

Heat transfer — a review of 1996 literature

A Sequential One-Dimensional Solution for the Sideways Heat Equation in a Semi-Infinite, Finite, and Multilayer Slab

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