### Abstract

This paper is investigating the transient solution for a heat conduction problem in solids with insulated boundary. This class of problem is often encountered in automotive brake and clutch systems where the frictional heat generated at contact surface is much larger than that the system is capable of dissipating. The heat conduction equation can be solved through the superposition of the homogenous solution and the particular solution. The use of the steady state solution as a particular solution can however result in a lack of numerical accuracy because of its order of magnitude driven by the nearly insulated boundary. A special solution form is proposed for the particular solution to account for such boundary condition. The proposed solution was tested in the context of a typical clutch disk sliding between two non-conductive rigid bodies. The solution has proven to be time efficient and free of numerical accuracy associated with the order of magnitude of the particular solution.

Original language | English |
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Title of host publication | 2008 Proceedings of the ASME Summer Heat Transfer Conference, HT 2008 |

Pages | 321-326 |

Number of pages | 6 |

Volume | 1 |

Publication status | Published - 2009 |

Event | 2008 ASME Summer Heat Transfer Conference, HT 2008 - Jacksonville, FL, United States Duration: Aug 10 2008 → Aug 14 2008 |

### Other

Other | 2008 ASME Summer Heat Transfer Conference, HT 2008 |
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Country | United States |

City | Jacksonville, FL |

Period | 8/10/08 → 8/14/08 |

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### ASJC Scopus subject areas

- Fluid Flow and Transfer Processes
- Mechanical Engineering

### Cite this

*2008 Proceedings of the ASME Summer Heat Transfer Conference, HT 2008*(Vol. 1, pp. 321-326)