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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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.