Analytical Heat Diffusion Theory
Analytical Heat Diffusion Theory

Author: Alekseĭ Vasilʹevich Lykov

Publisher: Academic Press

Published: 1968-01-28

Total Pages: 700

ISBN-13:

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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.

Building Heat Transfer
Building Heat Transfer

Author: Morris Grenfell Davies

Publisher: John Wiley & Sons

Published: 2004-06-25

Total Pages: 524

ISBN-13: 0470020547

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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
Theory of Heat

Author: James Clerk Maxwell

Publisher:

Published: 1871

Total Pages: 346

ISBN-13:

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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.

Theory of Calorimetry
Theory of Calorimetry

Author: W. Zielenkiewicz

Publisher: Springer Science & Business Media

Published: 2006-01-02

Total Pages: 198

ISBN-13: 0306484188

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Calorimetry is one of the oldest areas of physical chemistry. The date on which calorimetry came into being may be taken as 13 June 1783, the day on which Lavoisier and Laplace presented a contribution entitled ,,Memoire de la Chaleur“ at a session of the Academie Française. Throughout the existence of calorimetry, many new methods have been developed and the measuring techniques have been improved. At p- sent, numerous laboratories worldwide continue to focus attention on the development and applications of calorimetry, and a number of com- nies specialize in the production of calorimeters. The calorimeter is an instrument that allows heat effects in it to be determined by directly measurement of temperature. Accordingly, to determine a heat effect, it is necessary to establish the relationship - tween the heat effect generated and the quantity measured in the ca- rimeter. It is this relationship that unambiguously determines the mathematical model of the calorimeter. Depending on the type of ca- rimeter applied, the accuracy required, and the conditions of heat and mass transfer that prevail in the device, the relationship between the measured and generated quantities can assume different mathematical forms.

Heat Transfer Modeling
Heat Transfer Modeling

Author: George Sidebotham

Publisher: Springer

Published: 2015-02-13

Total Pages: 524

ISBN-13: 3319145142

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This innovative text emphasizes a "less-is-more" approach to modeling complicated systems such as heat transfer by treating them first as "1-node lumped models" that yield simple closed-form solutions. The author develops numerical techniques for students to obtain more detail, but also trains them to use the techniques only when simpler approaches fail. Covering all essential methods offered in traditional texts, but with a different order, Professor Sidebotham stresses inductive thinking and problem solving as well as a constructive understanding of modern, computer-based practice. Readers learn to develop their own code in the context of the material, rather than just how to use packaged software, offering a deeper, intrinsic grasp behind models of heat transfer. Developed from over twenty-five years of lecture notes to teach students of mechanical and chemical engineering at The Cooper Union for the Advancement of Science and Art, the book is ideal for students and practitioners across engineering disciplines seeking a solid understanding of heat transfer. This book also: · Adopts a novel inductive pedagogy where commonly understood examples are introduced early and theory is developed to explain and predict readily recognized phenomena · Introduces new techniques as needed to address specific problems, in contrast to traditional texts’ use of a deductive approach, where abstract general principles lead to specific examples · Elucidates readers’ understanding of the "heat transfer takes time" idea—transient analysis applications are introduced first and steady-state methods are shown to be a limiting case of those applications · Focuses on basic numerical methods rather than analytical methods of solving partial differential equations, largely obsolete in light of modern computer power · Maximizes readers’ insights to heat transfer modeling by framing theory as an engineering design tool, not as a pure science, as has been done in traditional textbooks · Integrates practical use of spreadsheets for calculations and provides many tips for their use throughout the text examples

Mathematical Modeling of Random and Deterministic Phenomena
Mathematical Modeling of Random and Deterministic Phenomena

Author: Solym Mawaki Manou-Abi

Publisher: John Wiley & Sons

Published: 2020-04-28

Total Pages: 308

ISBN-13: 1786304546

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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.