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Author: Yuan Dong
Publisher: Springer
ISBN: 3662484854
Category : Science
Languages : en
Pages : 145
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Book Description
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.
Author: Yuan Dong
Publisher: Springer
ISBN: 3662484854
Category : Science
Languages : en
Pages : 145
Get Book Here
Book Description
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.
Author: Alexander Vakhrushev
Publisher: BoD – Books on Demand
ISBN: 9535131818
Category : Science
Languages : en
Pages : 195
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Book Description
In recent years, nanotechnology is the basis for the development of modern production. This determined the urgency of the intensive development of the new direction of mechanics and nanomechanics, for the scientific description of nanotechnological processes and the solution of several topical nanotechnology problems. Topics included in the book cover a wide range of research in the field of nanomechanics: thermomass theory of nanosystems; deformation of nanomaterials; interface mechanics of assembly carbon nanotube; nanomechanics on surface; molecular interactions and transformations; nanomechanical sensors, nanobeams, and micromembranes; nanostructural organic and inorganic materials; green synthesis of metallic nanoparticles. The main goal of these works is the establishment of the nanosystem macroparameter dependence on its nanoparameters using nanomechanics. This book will be useful for engineers, technologists, and researchers interested in methods of nanomechanics and in advanced nanomaterials with complex behavior and their applications.
Author: Antonio Sellitto
Publisher: Springer
ISBN: 3319272063
Category : Science
Languages : en
Pages : 188
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Book Description
This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of nonequilibrium thermodynamics, going beyond the local-equilibrium. The book includes six main chapters, together with a preface and a final section devoted to the future perspectives, as well as an extensive bibliography.
Author: Alexander I. Zhmakin
Publisher: Springer Nature
ISBN: 3031259734
Category : Science
Languages : en
Pages : 419
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Book Description
This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems.
Author: Hai-Dong Wang
Publisher: Springer Science & Business Media
ISBN: 3642539777
Category : Science
Languages : en
Pages : 124
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Book Description
This book mainly focuses on the theoretical and experimental study of non-Fourier heat conduction behavior. A novel thermomass theory is used as the theoretical basis, which provides a general heat conduction equation for the accurate prediction of non-Fourier heat conduction. In order to prove the validity of this thermomass theory, a large current was used to heat the metallic nanofilm at the minimum temperature of 3 K. The measured average temperature of the nanofilm was notably higher than the prediction of Fourier’s heat diffusion equation, while matching well with the general heat conduction equation. This is the first time that steady non-Fourier heat conduction has been observed. Moreover, this book concerns the role of electron-phonon interaction in metallic nanofilms, which involves the breakdown of the Wiedemann-Franz law at low temperatures and interfacial thermal resistance at femtosecond timescales. Readers will find useful information on non-Fourier heat conduction and the latest advances in the study of charge and heat transport in metallic nanofilms.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 234
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Book Description
Rapid progress has been made in the manufacture of microelectronic and thermoelectric devices. With continuous decrease in the size of devices and structures, the manipulation and control of phonon-mediated heat transfer on the nano-/micro-scale is becoming a bottleneck for the development of many nano-/micro-technologies. To advance these technologies, it is necessary to understand the fundamental mechanisms of thermal transport at nano-/micro-scale. The new feature of heat transfer in nano-/micro-scale systems is non-diffusive thermal transport which cannot be described by Fourier's law. However, current nano-thermometry of non-diffusive heat transfer still focuses on studying the effective thermal conductivity within the framework of Fourier's law due to a lack of a well-accepted non-diffusive model. The molecular dynamics (MD) and full spectral Boltzmann transport equation (BTE) are unpractical to be applied for experimental data analysis due to their prohibited computational cost. For Gray BTE and other macroscopic models such as Cattaneo-Vernotte (CV) equation, Guyer-Krumhansl (GK) equation, Dual-phase-lag (DPL) equation and et al., they cannot capture the non-diffusive heat transport accurately. In this thesis we will develop a high-fidelity model that can accurately describe phonon transport at nano-/micro-scale regime and can replace Fourier's law for experimental data analysis. The new model named enhanced gray (EG) model is derived from the phonon Boltzmann transport equation (BTE) by considering the second-order terms in Taylor expansion of phonon density distribution. In the proposed enhanced gray BTE (EG-BTE), two parameters associated with inherent material properties, i.e., the ballistic mean free time and the diffusive relaxation time, are used to characterize the non-diffusive nature of heat conduction. Theoretical solutions of EG-BTE based on Fourier transform are presented in three-dimensional domain for transient thermal grating (TTG) experiments and time domain thermo-reflectance (TDTR) experiments. The reconstructed thermal decays by EG-BTE are in excellent match with the measured signal traces in TTG and TDTR experiments, which demonstrates the validity of our new model. For problems where analytical solutions are not available, an implicit lattice Boltzmann method (LBM) is developed to solve the EG-BTE, which is unconditionally stable and computationally efficient. As an illustrative application, the phonon transport in cryogenic crystals is studied by implicit LBM simulation based on EG-BTE. The heat-pulse experiment conducted in cryogenic crystals observed the only direct evidence of ballistic heat transport. The successive interpretation of this benchmark case by EG-BTE provides a better understanding of the physical nature of non-diffusive heat transfer. The proposed EG-BTE opens a new avenue to study the unique features of non-diffusive heat transfer. The current interpretations of TDTR experiments is limited by Fourier's law. For example, the measurements of effective thermal conductivity within the framework of Fourier's law will provide little insight for non-diffusive heat transfer. By deriving the analytical solution of EG-BTE for TDTR experiments, a new theoretical framework based on EG-BTE that can remove the limit of Fourier law for experimental data analysis is developed and proved. Some unique material thermal properties of non-diffusive heat conduction can be characterized, such as the ballistic mean free time and the diffusive relaxation time. But further development and improvement of the theoretical tool are required to understand other features of non-diffusive heat transfer, such as the interfacial thermal conductance, which can be our future work.
Author: Klaus D. Sattler
Publisher: CRC Press
ISBN: 1351260553
Category : Science
Languages : en
Pages : 4153
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Book Description
This 21st Century Nanoscience Handbook will be the most comprehensive, up-to-date large reference work for the field of nanoscience. Handbook of Nanophysics, by the same editor, published in the fall of 2010, was embraced as the first comprehensive reference to consider both fundamental and applied aspects of nanophysics. This follow-up project has been conceived as a necessary expansion and full update that considers the significant advances made in the field since 2010. It goes well beyond the physics as warranted by recent developments in the field. Key Features: Provides the most comprehensive, up-to-date large reference work for the field. Chapters written by international experts in the field. Emphasises presentation and real results and applications. This handbook distinguishes itself from other works by its breadth of coverage, readability and timely topics. The intended readership is very broad, from students and instructors to engineers, physicists, chemists, biologists, biomedical researchers, industry professionals, governmental scientists, and others whose work is impacted by nanotechnology. It will be an indispensable resource in academic, government, and industry libraries worldwide. The fields impacted by nanoscience extend from materials science and engineering to biotechnology, biomedical engineering, medicine, electrical engineering, pharmaceutical science, computer technology, aerospace engineering, mechanical engineering, food science, and beyond.
Author: Klaus D. Sattler
Publisher: CRC Press
ISBN: 1000497429
Category : Science
Languages : en
Pages : 371
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Book Description
This up-to-date reference is the most comprehensive summary of the field of nanoscience and its applications. It begins with fundamental properties at the nanoscale and then goes well beyond into the practical aspects of the design, synthesis, and use of nanomaterials in various industries. It emphasizes the vast strides made in the field over the past decade – the chapters focus on new, promising directions as well as emerging theoretical and experimental methods. The contents incorporate experimental data and graphs where appropriate, as well as supporting tables and figures with a tutorial approach.
Author: Frédéric Barbaresco
Publisher: MDPI
ISBN: 3038977462
Category : Science
Languages : en
Pages : 260
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Book Description
For the 250th birthday of Joseph Fourier, born in 1768 in Auxerre, France, this MDPI Special Issue will explore modern topics related to Fourier Analysis and Heat Equation. Modern developments of Fourier analysis during the 20th century have explored generalizations of Fourier and Fourier–Plancherel formula for non-commutative harmonic analysis, applied to locally-compact, non-Abelian groups. In parallel, the theory of coherent states and wavelets has been generalized over Lie groups. One should add the developments, over the last 30 years, of the applications of harmonic analysis to the description of the fascinating world of aperiodic structures in condensed matter physics. The notions of model sets, introduced by Y. Meyer, and of almost periodic functions, have revealed themselves to be extremely fruitful in this domain of natural sciences. The name of Joseph Fourier is also inseparable from the study of the mathematics of heat. Modern research on heat equations explores the extension of the classical diffusion equation on Riemannian, sub-Riemannian manifolds, and Lie groups. In parallel, in geometric mechanics, Jean-Marie Souriau interpreted the temperature vector of Planck as a space-time vector, obtaining, in this way, a phenomenological model of continuous media, which presents some interesting properties. One last comment concerns the fundamental contributions of Fourier analysis to quantum physics: Quantum mechanics and quantum field theory. The content of this Special Issue will highlight papers exploring non-commutative Fourier harmonic analysis, spectral properties of aperiodic order, the hypoelliptic heat equation, and the relativistic heat equation in the context of Information Theory and Geometric Science of Information.
Author: Cristian Ravariu
Publisher: BoD – Books on Demand
ISBN: 1789233046
Category : Technology & Engineering
Languages : en
Pages : 254
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Book Description
The Green Electronics book is intended to stimulate people's thinking toward the new concepts of an environment-friendly electronics - the main challenge in the future. The book offers multiple solutions to push the classical electronic industry toward green concepts, aided by nanotechnologies, with revolutionary features that provide low power consumption in electronics, use biomaterials for integrated structures, and include environmental monitoring tools. Based on organic semiconductors/insulators without toxic precursors, green electronic technologies launched promising devices like OLED, OTFT, or nano-core-shell transistors. The Green Electronics book successfully presents the recent directions collected worldwide and leaves free space for continuing year by year with new subtopics.