Author: Jean-Baptiste-Joseph FourierPublisher:
ISBN:
Category : Heat
Languages : en
Pages : 524
Book Description
The Analytical Theory of Heat
Author: Jean-Baptiste-Joseph FourierPublisher:
ISBN:
Category : Heat
Languages : en
Pages : 524
Book Description
Analytical Heat Diffusion Theory
Author: Alekseĭ Vasilʹevich LykovPublisher: Academic Press
ISBN:
Category : Science
Languages : en
Pages : 700
Book Description
Analytical Heat Diffusion Theory is a revised edition of an earlier book by Academician Luikov, which was widely used throughout the Soviet Union and the surrounding socialist countries. This book is divided into 15 chapters that treat heat conduction problems by the classical methods and emphasize the advantages of the transform method, particularly in obtaining short time solutions of many transient problems. This book starts with a discussion on the physical fundamentals, generalized variables, and solution of boundary value problems of heat transfer. Considerable chapters are devoted to the basic classical heat transfer problems and problems in which the body surface temperature is a specified function of time. Other chapters explore the heat transfer problems under different heat sources, including continuous and pulse-type. The discussion then shifts to the problem of freezing wet ground, two-dimensional temperature field, and heat conduction with variable transfer coefficients. The final chapters deal with the fundamentals of the integral transforms and their application to heat conduction problems. These chapters also look into the application of the theory of analytic functions to the heat conduction theory of mathematical physics. This book is an invaluable source for advanced undergraduate or graduate in analytical heat transfer.
The Analytical Theory of Heat
Author: Jean-Baptiste-Joseph FourierPublisher:
ISBN:
Category : Heat
Languages : en
Pages : 534
Book Description
Building Heat Transfer
Author: Morris Grenfell DaviesPublisher: John Wiley & Sons
ISBN: 0470020547
Category : Technology & Engineering
Languages : en
Pages : 524
Book Description
A third or more of the energy consumption of industrialized countries is expended on creating acceptable thermal and lighting conditions in buildings. As a result, building heat transfer is keenly important to the design of buildings, and the resulting analytical theory forms the basis of most design procedures. Analytical Theory of Building Heat Transfer is the first comprehensive reference of its kind, a one-volume compilation of current findings on heat transfer relating to the thermal behavior of buildings, forming a logical basis for current design procedures.
Theory of Heat
Author: James Clerk MaxwellPublisher:
ISBN:
Category : Science
Languages : en
Pages : 346
Book Description
This classic sets forth the fundamentals of thermodynamics and kinetic theory simply enough to be understood by beginners, yet with enough subtlety to appeal to more advanced readers, too.
Joseph Fourier 250th Birthday
Author: Frédéric BarbarescoPublisher: MDPI
ISBN: 3038977462
Category : Science
Languages : en
Pages : 260
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.
The Theory of Heat Radiation
Author: Max PlanckPublisher:
ISBN:
Category : Electric waves
Languages : en
Pages : 484
Book Description
Mathematical Modeling of Random and Deterministic Phenomena
Author: Solym Mawaki Manou-AbiPublisher: John Wiley & Sons
ISBN: 1786304546
Category : Mathematics
Languages : en
Pages : 308
Book Description
This book highlights mathematical research interests that appear in real life, such as the study and modeling of random and deterministic phenomena. As such, it provides current research in mathematics, with applications in biological and environmental sciences, ecology, epidemiology and social perspectives. The chapters can be read independently of each other, with dedicated references specific to each chapter. The book is organized in two main parts. The first is devoted to some advanced mathematical problems regarding epidemic models; predictions of biomass; space-time modeling of extreme rainfall; modeling with the piecewise deterministic Markov process; optimal control problems; evolution equations in a periodic environment; and the analysis of the heat equation. The second is devoted to a modelization with interdisciplinarity in ecological, socio-economic, epistemological, demographic and social problems. Mathematical Modeling of Random and Deterministic Phenomena is aimed at expert readers, young researchers, plus graduate and advanced undergraduate students who are interested in probability, statistics, modeling and mathematical analysis.
Author: Horatio Scott Carslaw
Author: Yunus Ali Cengel