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Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems (2016)

Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems

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"Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems" by Yuan Dong is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

This 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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Best For: Researchers and students in environmental physics and nanotechnology focusing on heat conduction.
Focus: Non-Fourier heat conduction, irreversible thermodynamics, and size effects on thermal conductivity in nanosystems.
Covers: Thermomass theory, phonon Boltzmann equation, entropy production, temperature, Onsager reciprocal relation, and phonon gas dynamics.
Why It Matters: Provides a theoretical framework linking microscopic and macroscopic descriptions of heat conduction, enabling prediction of thermal conductivity in nanoscale systems.

"Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems" by Yuan Dong is a mathematics book and learning resource focused on Thermal Effects. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Thermal Effects

Author: Yuan Dong

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

This 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.

AuthorYuan Dong
PublisherSpringer
Published2015-10-23
ISBN-139783662484838
BindingHardcover
LanguageEnglish
SubjectsScience
TopicThermal Effects
SeriesSpringer Theses

Format: Hardcover

Language: English

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