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CRITICAL TIMES OF HEAT AND MASS TRANSPORT THROUGH MULTIPLE LAYERS

Part of: Thermodynamics and heat transfer

Published online by Cambridge University Press:  27 January 2011

ROSLYN HICKSON
ROSLYN HICKSON*
Affiliation:
National Centre for Epidemiology and Population Health, Australian National University, Canberra, ACT 0200, Australia (email: Roslyn.Hickson@anu.edu.au)
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Abstract

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Keywords

heat and mass transferreaction diffusioncritical timemultilayertime scaletime lagcomposite materialslaminateseffective diffusivityeffective reactivity

MSC classification

Secondary: 80A20: Heat and mass transfer, heat flow
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 171 - 172
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

[1]Hickson, R. I., Barry, S. I. and Mercer, G. N., ‘Critical times in multilayer diffusion. Part 1: Exact solutions’, Int. J. Heat Mass Trans. 52(25–26) (2009), 5776–5783; Based on part of the work in Chapter 3.CrossRefGoogle Scholar
[2]Hickson, R. I., Barry, S. I. and Mercer, G. N., ‘Critical times in multilayer diffusion. Part 2: Approximate solutions’, Int. J. Heat Mass Trans. 52(25–26) (2009), 5784–5791; Based on the work in Chapter 4.CrossRefGoogle Scholar
[3]Hickson, R. I., Barry, S. I. and Mercer, G. N., ‘Exact and numerical solutions for effective diffusivity and time lag through multiple layers’, ANZIAM J. (E) 50 (2009), C682–C695; Based on part of the work in Chapter 3; http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1386.Google Scholar
[4]Hickson, R. I., Barry, S. I., Mercer, G. N. and Sidhu, H. S., ‘Finite difference schemes for multilayer diffusion’, submitted to J. Math. Comput. Model.; Based on part of the work in Chapter 3.Google Scholar
[5]Hickson, R. I., Barry, S. I. and Sidhu, H. S., ‘Critical times in one- and two-layered diffusion’, Aust. J. Eng. Educ. 15(2) (2009), 77–84; Based on part of the work in Chapter 3; http://www.engineersmedia.com.au/journals/aaee/pdf/AJEE_15_2_Hickson.pdf.Google Scholar
[6]Hickson, R. I., Barry, S. I., Sidhu, H. S. and Mercer, G. N., ‘Critical times in single-layer reaction diffusion’, submitted to Int. J. Heat Mass Trans.; Based on part of the work in Chapter 6.Google Scholar
[7]Hickson, R. I., Barry, S. I., Sidhu, H. S. and Mercer, G. N., ‘Critical times in multilayer reaction diffusion’, submitted to the Int. J. Heat Mass Trans.; Based on part of the work in Chapter 6.Google Scholar
[8]Landman, K. and McGuinness, M., ‘Mean action time for diffusive processes’, J. Appl. Math. Decis. Sci. 4(2) (2000), 125–141.Google Scholar
[9]McGuinness, M., Sweatman, W., Boawan, D. and Barry, S., ‘Annealing steel coils’ (eds. T. Marchant, M. Edwards and G. Mercer) (2009); Proceedings of the 2008 MISG2009.Google Scholar