### Abstract

A general three-dimensional bioheat equation for local tissue heat transfer has been derived with less assumptions, exploiting a volume averaging theory commonly used in fluid-saturated porous media. The volume averaged energy equations obtained for the arterial blood, venous blood and tissue were combined together to form a single energy equation in terms of the tissue temperature alone. The resulting energy equation turns out to be remarkably simple as we define the effective thermal conductivity tensor, which accounts not only for the countercurrent heat exchange mechanism but also for the thermal dispersion mechanism. The present equation for local tissue heat transfer naturally reduces to the Weinbaum-Jiji equation for the unidirectional case.

Original language | English |
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Pages (from-to) | 739-746 |

Number of pages | 8 |

Journal | Heat and Mass Transfer/Waerme- und Stoffuebertragung |

Volume | 46 |

Issue number | 7 |

DOIs | |

Publication status | Published - Aug 1 2010 |

### ASJC Scopus subject areas

- Condensed Matter Physics
- Fluid Flow and Transfer Processes

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## Cite this

*Heat and Mass Transfer/Waerme- und Stoffuebertragung*,

*46*(7), 739-746. https://doi.org/10.1007/s00231-010-0619-1