Theoretical And Experimental Studies On Non Fourier Heat Conduction Based On Thermomass Theory PDF Download
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Author | : Hai-Dong Wang |
Publisher | : Springer Science & Business Media |
Total Pages | : 124 |
Release | : 2014-02-07 |
Genre | : Science |
ISBN | : 3642539777 |
Download Theoretical and Experimental Studies on Non-Fourier Heat Conduction Based on Thermomass Theory Book in PDF, ePub and Kindle
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 | : Alexander I. Zhmakin |
Publisher | : Springer Nature |
Total Pages | : 419 |
Release | : 2023-07-01 |
Genre | : Science |
ISBN | : 3031259734 |
Download Non-Fourier Heat Conduction Book in PDF, ePub and Kindle
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 | : Yuan Dong |
Publisher | : Springer |
Total Pages | : 145 |
Release | : 2015-10-14 |
Genre | : Science |
ISBN | : 3662484854 |
Download Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems Book in PDF, ePub and Kindle
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 | : Richard (Chunhui) Yang |
Publisher | : Springer |
Total Pages | : 324 |
Release | : 2019-07-01 |
Genre | : Technology & Engineering |
ISBN | : 3030176770 |
Download Robotics and Mechatronics Book in PDF, ePub and Kindle
This book gathers the proceedings of the ISRM 2017, the fifth IFToMM International Symposium on Robotics and Mechatronics, which was jointly organised by the School of Computing, Engineering and Mathematics at Western Sydney University, Australia and by the IFToMM Technical Committee on Robotics and Mechatronics. The respective contributions showcase the latest advances, trends and future challenges in Computer Modelling and Simulation, Kinematics and Dynamics of Multi-Body Systems, Advanced Dynamics and Control Methods, Linkages and Mechanical Controls, Parallel Manipulators, Mechanism Design, Sensors and Actuators, Mobile Robotics: Navigation and Motion Planning, Bio-inspired Robotics, Micro/Nano-Robotics and Complex Robotic Systems.
Author | : Antonio Sellitto |
Publisher | : Springer |
Total Pages | : 188 |
Release | : 2016-02-03 |
Genre | : Science |
ISBN | : 3319272063 |
Download Mesoscopic Theories of Heat Transport in Nanosystems Book in PDF, ePub and Kindle
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 | : |
Publisher | : |
Total Pages | : 234 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download Non-diffusive Heat Conduction in Nano-/micro-scale Structures Book in PDF, ePub and Kindle
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 | : Arkadi Berezovski |
Publisher | : Springer |
Total Pages | : 222 |
Release | : 2017-05-05 |
Genre | : Science |
ISBN | : 3319569341 |
Download Internal Variables in Thermoelasticity Book in PDF, ePub and Kindle
This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.
Author | : Kimberlee Chiyoko Collins |
Publisher | : |
Total Pages | : 133 |
Release | : 2015 |
Genre | : |
ISBN | : |
Download Studies of Non-diffusive Heat Conduction Through Spatially Periodic and Time-harmonic Thermal Excitations Book in PDF, ePub and Kindle
Studies of non-diffusive heat conduction provide insight into the fundamentals of heat transport in condensed matter. The mean free paths (MFPs) of phonons that are most important for conducting heat are well represented by a material's thermal conductivity accumulation function. Determining thermal conductivity accumulation functions experimentally by studying conduction in non-diffusive regimes is a recent area of study called phonon MFP spectroscopy. In this thesis, we investigate nondiffusive transport both experimentally and theoretically to advance methods for determining thermal conductivity accumulation functions in materials. We explore both spatially periodic and time-harmonic thermal excitations as a means for probing the non-diffusive transport regime, where the Fourier heat diffusion law breaks down. Boltzmann transport equation calculations of one-dimensional (1D) spatially sinusoidal thermal excitations are performed for gray-medium and fully spectral cases. We compare our calculations to simplified transport models and demonstrate that a model based on integrating gray-medium solutions can reasonably model materials with a narrow range of dominant heat-carrying phonon MFPs. We also consider the inverse problem of determining thermal conductivity accumulation functions from experimental measurements of thermal-length-scale-dependent effective thermal conductivity. Based on experimental measurements of Si membranes of varying thickness, we reproduce the thermal conductivity accumulation function for bulk Si. To investigate materials with short phonon MFPs, we developed an experimental approach based on microfabricating 1D wire grid polarizers on the surface of a material under study. This work finds that the dominant thermal length scales in polycrystalline Bi 2Te3 are smaller than 100 nm. We also determine that even small amounts of direct sample optical excitation, which occurs when light transmits through the grating and directly excites electron-hole pairs in the substrate, can appreciably influence the measured results, suggesting that an alternate approach that prevents all direct optical excitation is preferable. To study thermal length scales smaller than 100 nm without the need for microfabrication, we develop a method for extracting high frequency response information from transient optical measurements. For a periodic heat flux input, the thermal penetration depth in a semi-infinite sample depends on the excitation frequency, with higher frequencies leading to shallower thermal penetration depths. Prior work using frequencies as high as 200 MHz observed apparent non-diffusive behavior. Our method allows for frequencies of at least 1 GHz, but we do not observe any deviation from the heat diffusion equation, suggesting that prior observations attributed to non-diffusive effects were likely the result of transport phenomena in the metal transducer.
Author | : George Arfken |
Publisher | : Academic Press |
Total Pages | : 918 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0323142028 |
Download University Physics Book in PDF, ePub and Kindle
University Physics provides an authoritative treatment of physics. This book discusses the linear motion with constant acceleration; addition and subtraction of vectors; uniform circular motion and simple harmonic motion; and electrostatic energy of a charged capacitor. The behavior of materials in a non-uniform magnetic field; application of Kirchhoff's junction rule; Lorentz transformations; and Bernoulli's equation are also deliberated. This text likewise covers the speed of electromagnetic waves; origins of quantum physics; neutron activation analysis; and interference of light. This publication is beneficial to physics, engineering, and mathematics students intending to acquire a general knowledge of physical laws and conservation principles.
Author | : A. Arturo Leis |
Publisher | : Oxford University Press |
Total Pages | : 326 |
Release | : 2013-03-21 |
Genre | : Medical |
ISBN | : 0199754632 |
Download Atlas of Nerve Conduction Studies and Electromyography Book in PDF, ePub and Kindle
Beautifully and lavishly illustrated, Atlas of Nerve Conduction Studies and Electromyography demystifies the major conditions affecting peripheral nerves and provides electrodiagnostic strategies for confirming suspected lesions of the peripheral nervous system. Building on the success of the landmark Atlas of Electromyography, this new text is divided into sections based on the major peripheral nerves. It contains detailed illustrations of each nerve along with a discussion of its anatomy, followed by a thorough outline of the clinical conditions and entrapment syndromes that affect the nerve, including a list of the etiologies, clinical features, and electrodiagnostic strategies used for each syndrome. Routine and special motor and sensory nerve conduction studies are shown in an anatomical illustration. In addition, each muscle supplied by the peripheral nerve is illustrated showing the root, plexus, and peripheral nerve supply to the muscle and is accompanied by a corresponding human photograph. Written text provides information about the nerve conduction studies, muscle origin, tendon insertion, voluntary activation maneuver, and the site of optimum needle insertion, which is identified in the figures by a black dot or a needle electrode. Atlas of Nerve Conduction Studies and Electromyography is the perfect anatomical guide for neurologists, specialists in physical medicine and rehabilitation, and electrodiagnostic medicine consultants, while also providing support for individuals in residency training programs, critical care medicine, neurological surgery, and family practice.