Analytic solution of one-dimensional steady-state Pennes' bioheat transfer equation in cylindrical coordinates

Journal of Thermal Science

Volumn 13, Issue 3, 2004, Pages 255-258

  Yue, Kai ^a   Zhang, Xinxin ^a   Yu, Fan ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

Analytic solution; Bessel functions; Bioheat transfer; Pennes' equation

Indexed keywords

BESSEL FUNCTIONS; HEAT TRANSFER; LIVING SYSTEMS STUDIES; METABOLISM; ONE DIMENSIONAL; TEMPERATURE DISTRIBUTION;

ANALYTIC SOLUTION; BIOHEAT TRANSFER EQUATION; BLOOD PERFUSION; PENNES EQUATION;

THERMAL CONDUCTIVITY;

EID: 9444270425     PISSN: 10032169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11630-004-0039-y     Document Type: Article

References (10)

1. Diller, K R, Valvano, J W, Pearce, J A. Bioheat Transfer. London, Springer: The CRC Handbook of Thermal Engineering 2000, 2000. 4-114-4-176
2. Chato, J C. Reflections on the History of Heat and Mass Transfer in Bioengineering. ASME Journal of Biomechanical Eng., 1981, 103: 97-101
3. Shitzer, A, Chato, J C. Analytical Solutions to the Problem of Transient Heat Transfer in Living Tissue. ASME Journal of Biomechanical Eng., 1978, 100: 202-210
4. Bardati, F, Gerosa, G. On the Solution of the Non-linear Bio-heat Equation. Journal of Biomechanics, 1990, 23: 791-798
5. Pennes, H H. Analysis of Tissue and Arterial Temperatures in the Resting Human Torearm. Journal of Applied Physiology, 1948, (1): 93-122
6. Diller, K R, Ryan, T P. Heat Transfer in Living System: Current Opportunities. Transactions of the ASME, 1998, 120: 810-829
7. Ozisik, M N, Yu, C M. Heat Conduction. Beijing: Higher Education Press. 1983. 712-715
8. Wang, B X, Wang, Y M. Study on the Basic Equations of Biomedical Heat Transfer. Transport Phenomena Science and Technology. Beijing: Higher Education Press. 1992. 773-776
9. Werner, J, Buse, M. Three-dimensional Simulation of Cold and Warm Defence in Man. J. Appl. Physiol., 1988, 65(3): 1110-1118
10. Stolwijk, J A J. A Mathematical Model of Physiological Temperature Regulation in Man. NASA, 1971: CR-1855