Transient Thermal Waves In The General Theory Of Heat Conduction With Finite Wave Speeds PDF Download
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Author | : Frederick R. Norwood |
Publisher | : |
Total Pages | : 4 |
Release | : 1972 |
Genre | : Conservation laws (Mathematics) |
ISBN | : |
Download Transient Thermal Waves in the General Theory of Heat Conduction with Finite Wave Speeds Book in PDF, ePub and Kindle
Author | : Yuriy Povstenko |
Publisher | : Springer Nature |
Total Pages | : 457 |
Release | : |
Genre | : |
ISBN | : 3031645871 |
Download Fractional Thermoelasticity Book in PDF, ePub and Kindle
Author | : Yuriy Povstenko |
Publisher | : Birkhäuser |
Total Pages | : 470 |
Release | : 2015-07-03 |
Genre | : Mathematics |
ISBN | : 3319179543 |
Download Linear Fractional Diffusion-Wave Equation for Scientists and Engineers Book in PDF, ePub and Kindle
This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the “long-tail” power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier’s, Fick’s and Darcy’s laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates. The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.
Author | : |
Publisher | : |
Total Pages | : 628 |
Release | : 1974 |
Genre | : Mechanics, Applied |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 1572 |
Release | : 1992 |
Genre | : Aeronautics |
ISBN | : |
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Author | : R. M. Christensen |
Publisher | : Courier Corporation |
Total Pages | : 386 |
Release | : 2013-04-26 |
Genre | : Technology & Engineering |
ISBN | : 0486318966 |
Download Theory of Viscoelasticity Book in PDF, ePub and Kindle
Integration of theoretical developments offers complete description of linear theory of viscoelastic behavior of materials, with theoretical formulations derived from continuum mechanics viewpoint and discussions of problem solving. 1982 edition.
Author | : |
Publisher | : |
Total Pages | : 1264 |
Release | : 1972 |
Genre | : Nuclear energy |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 1190 |
Release | : 1973 |
Genre | : Mechanical engineering |
ISBN | : |
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Publishes original research in all branches of mechanics including aerodynamics; aeroelasticity; boundary layers; computational mechanics; constitutive modeling of materials; dynamics; elasticity; flow and fracture; heat transfer; hydraulics; impact; internal flow; mechanical properties of materials; micromechanics; plasticity; stress analysis; structures; thermodynamics; turbulence; vibration; and wave propagation.
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 | : |
Publisher | : |
Total Pages | : 934 |
Release | : 1972 |
Genre | : Government publications |
ISBN | : |
Download Government Reports Announcements Book in PDF, ePub and Kindle