Springer - Heat Conduction - Mathematical Models and Analytical Solutions - 2008.pdf

Heat Conduction
Liqiu Wang · Xuesheng Zhou · Xiaohao Wei
Heat Conduction
Mathematical Models and Analytical Solutions
123
Liqiu Wang
Xuesheng Zhou
Xiaohao Wei
Department of Mechanical Engineering
The University of Hong Kong
Pokfulam Road
Hong Kong
. China
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ISBN-13 978-3-540-74028-5 e-ISBN-13 978-3-540-74303-3
DOI -3-540-74303-3
Library of Congress Control Number: 2007932886
© 2008 Springer-Verlag Berlin Heidelberg
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Preface
As an important transport process, heat conduction is governed by the first law of
thermodynamics, or the conservation of energy. The heat-conduction equation is its
mathematical representation for heat conduction processes. However, we can have
different types of heat-conduction equations depending on which constitutive re-
lations of heat flux density, the relations between the heat flux density vector and
the temperature gradient, are used. The dual-phase-lagging constitutive relation was
first propos