Analytical solutions of pennes bio-heat transfer equation with a blood vessel

H. W. Huang, C. L. Chan

Research output: Contribution to journalArticlepeer-review

62 Scopus citations


The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are obtained and presented.

Original languageEnglish (US)
Pages (from-to)208-212
Number of pages5
JournalJournal of Biomechanical Engineering
Issue number2
StatePublished - May 1994

ASJC Scopus subject areas

  • Biomedical Engineering
  • Physiology (medical)


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