Fractal morphology of deposits in heat exchangers and their physical properties

Jagannathan Gomatam, Anthony J. Mulholland

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Our fundamental hypothesis in this paper is that aggregated deposits grown on a substrate can be construed as media endowed with fractal properties over a finite range of temporal and spatial scales. We present image analysis of industrial deposits that confirm their fractal morphology and then derive an equation governing the thermal conductivity which displays an explicit dependence on the box-counting fractal dimension. We also study the percolation properties of shuffled Sierpinski carpets (SSC) by developing a real space renormalization group (RSRG) theory approach. The theoretical results are critically discussed with reference to the numerical solution of the steady-state heat equation in simulated fouling material.
LanguageEnglish
Pages31-50
Number of pages19
JournalFractals
Volume9
Issue number1
DOIs
Publication statusPublished - Mar 2001

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Heat Exchanger
Physical property
Fractals
Heat exchangers
Fractal
Deposits
Physical properties
Box-counting Dimension
Sierpinski Carpet
Group theory
State Equation
Group Theory
Fractal dimension
Fouling
Thermal Conductivity
Image Analysis
Fractal Dimension
Heat Equation
Renormalization Group
Image analysis

Cite this

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Fractal morphology of deposits in heat exchangers and their physical properties. / Gomatam, Jagannathan; Mulholland, Anthony J.

In: Fractals, Vol. 9, No. 1, 03.2001, p. 31-50.

Research output: Contribution to journalArticle

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