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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 105
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by:
Paper 61
A Tessellated Continuum Method for the Analysis of Fractal-Like Cellular Heat Exchangers K. Davey, R. Prosser and C. Jiang
School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Lancashire, United Kingdom K. Davey, R. Prosser, C. Jiang, "A Tessellated Continuum Method for the Analysis of Fractal-Like Cellular Heat Exchangers", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 61, 2014. doi:10.4203/ccp.105.61
Keywords: heat exchangers, heat transfer, pre-fractals, tessellated continua, finite elements.
Summary
This paper presents ongoing research work directed towards the thermal analysis of
cellular heat exchangers. A novel approach is explored which involves the
representation of cellular heat exchanger designs with pre-fractals. Utilised here are
hole-fill maps whose function is to map elements in a pre-fractal to tiles in a
tessellated continuum. The purpose of this approach is to enable thermal analysis to
be performed on tessellated continua as opposed to analysis on relatively complex
fractal structures. The work reported in this paper is focused on two-dimensional
fractal designs and in particular the classical Sierpinski gasket is chosen to test out the
theories. Temperature distributions on both pre-fractals and tessellated continua are
presented for different heat loading and cooling. The work demonstrates the
feasibility of the approach where cooling channels in a pre-fractal manifest as line
heat sinks in the corresponding tessellated continuum.
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