## Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in NanosystemsThis thesis studies the general heat conduction law, irreversible thermodynamics and the size effect of thermal conductivity exhibited in nanosystems from the perspective of recently developed thermomass theory. The derivation bridges the microscopic phonon Boltzmann equation and macroscopic continuum mechanics. Key concepts such as entropy production, temperature and the Onsager reciprocal relation are revisited in the case of non-Fourier heat conduction. Lastly, useful expressions are extracted from the picture of phonon gas dynamics and are used to successfully predict effective thermal conductivity in nanosystems. |

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### Contents

1 | |

2 Dynamical Governing Equations of NonFourier Heat Conduction | 21 |

3 General Entropy Production Based on Dynamical Analysis | 42 |

4 Nonequilibrium Temperature in NonFourier Heat Conduction | 59 |

5 Dynamical Analysis of Onsager Reciprocal Relations ORR | 78 |

6 Dynamical Analysis of Heat Conduction in Nanosystems and Its Application | 101 |

7 Conclusion | 133 |

### Other editions - View all

Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in ... Yuan Dong No preview available - 2016 |

Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in ... Yuan Dong No preview available - 2015 |

### Common terms and phrases

based on Eq boundary effect Cimmelli coefficient conduction in nanosystems cross-plane CV model ð Þ defined density diffusion Dong drift velocity driving force effective MFP effective thermal conductivity energy of thermomass entropy production equation of phonon equilibrium system expression of entropy film fluid forces and fluxes Fourier’s law friction force Galilean invariance graphene Guo ZY heat conduction law heat flux Heat Mass Transf heat transport heat wave in-plane induced Int J Heat internal energy kinetic energy linear regression mechanical energy molecular momentum balance equation momentum transport nanofilms and nanowires nanosystems nanowires non-Fourier heat conduction nonequilibrium temperature Onsager reciprocal relation phonon Boltzmann equation phonon distribution function phonon gas phonon MFPs Phys Rev Lett Poiseuille flow prediction proportional q ¼ quasi-momentum relaxation second sound Sellitto side of Eq speed stagnant temperature static temperature temperature gradient term thermodynamic equilibrium thermomass theory transport processes variables viscosity