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Fractal morphology of deposits in heat exchangers and their physical properties

Gomatam, Jagannathan and Mulholland, Anthony J. (2001) Fractal morphology of deposits in heat exchangers and their physical properties. Fractals, 9 (1). pp. 31-50. ISSN 0218-348X

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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.

Item type: Article
ID code: 2015
Keywords: Mathematics, General, Modelling and Simulation, Geometry and Topology, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 25 Mar 2007
    Last modified: 04 Sep 2014 10:35
    URI: http://strathprints.strath.ac.uk/id/eprint/2015

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