Biomedical Engineering Reference
In-Depth Information
1
A General Set of Bioheat Transfer Equations
Based on th e Volume Averaging Theory
Akira Nakayama
Department of Mechanical Engineering, Shizuoka University,
Johoku, Hamamatsu, Japan
School of Civil Engineering and Architecture,
Wuhan Polytechnic University, Wuhan, P.R. China
Fujio Kuwahara
Department of Mechanical Engineering, Shizuoka University,
Johoku, Hamamatsu, Japan
Wei Liu
School of Energy and Power Engineering, Huazhong University
of Science and Technology, Wuhan, P.R. China
CONTENTS
1.1
Introduction .................................................................
2
1.2
Volume Averaging Procedure ...............................................
4
1.3
Governing Equation for Blood Flow ........................................
7
1.4
Two-Energy Equation Model for Blood Flow and Tissue ..................
8
1.4.1
Related Work .......................................................
8
1.4.2
Two-Energy Equation Model Based on VAT .......................
9
1.4.3
Pennes Model .......................................................
12
1.4.4
Wulff Model and Klinger Model ....................................
13
1.4.5
Chen and Holmes Model ............................................
14
1.5
Three-Energy Equation Model for Countercurrent Heat Transfer
in a Circulatory System ....................................................
15
1.5.1
Related Work .......................................................
15
1.5.2
Three-Energy Equation Model Based on the Volume
Averaging Theory ...................................................
16
1.5.3
Keller and Seiler Model .............................................
19
1.5.4
Chato Model ........................................................
20
1.5.5
Roetzel and Xuan Model ...........................................
20
1.5.6
Weinbaum-Jiji Model and Bejan Model ............................
21
1.6
Effect of Spatial Distribution of Perfusion Bleed-Off Rate on Total
Countercurrent Heat Transfer ..............................................
23
1
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