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.


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.


The Analytical Theory of Heat

The Analytical Theory of Heat

Author: Joseph Fourier

Publisher: Cosimo, Inc.

Published: 2007-10-01

Total Pages: 497

ISBN-13: 1602068569

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In this pioneering work of mathematics, Joseph Fourier shows how the conduction of heat in solid bodies can be analyzed in terms of an infinite mathematical series. Known as the Fourier Series, this was the first correct theory on heat diffusion and continues to be used in present-day analysis. For anyone interested in the theory of heat or in the mathematical tools developed by Fourier, this classic work remains indispensable. Born the son of a French tailor, JOSEPH FOURIER (1768-1830) was a mathematician, Egyptologist, and politician whose strong influence on mathematical physics continues to this day. His other works include Description of Egypt and Analysis of Determinate Equations.


Degrees Kelvin

Degrees Kelvin

Author: David Lindley

Publisher: National Academies Press

Published: 2004-02-10

Total Pages: 383

ISBN-13: 0309096189

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LORD KELVIN. In 1840, a precocious 16-year-old by the name of William Thomson spent his summer vacation studying an extraordinarily sophisticated mathematical controversy. His brilliant analysis inspired lavish praise and made the boy an instant intellectual celebrity. As a young scholar William dazzled a Victorian society enthralled with the seductive authority and powerful beauty of scientific discovery. At a time when no one really understood heat, light, electricity, or magnetism, Thomson found key connections between them, laying the groundwork for two of the cornerstones of 19th century science-the theories of electromagnetism and thermodynamics. Charismatic, confident, and boyishly handsome, Thomson was not a scientist who labored quietly in a lab, plying his trade in monkish isolation. When scores of able tinkerers were flummoxed by their inability to adapt overland telegraphic cables to underwater, intercontinental use, Thomson took to the high seas with new equipment that was to change the face of modern communications. And as the world's navies were transitioning from wooden to iron ships, they looked to Thomson to devise a compass that would hold true even when surrounded by steel. Gaining fame and wealth through his inventive genius, Thomson was elevated to the peerage by Queen Victoria for his many achievements. He was the first scientist ever to be so honored. Indeed, his name survives in the designation of degrees Kelvin, the temperature scale that begins with absolute zero, the point at which atomic motion ceases and there is a complete absence of heat. Sir William Thomson, Lord Kelvin, was Great Britain's unrivaled scientific hero. But as the century drew to a close and Queen Victoria's reign ended, this legendary scientific mind began to weaken. He grudgingly gave way to others with a keener, more modern vision. But the great physicist did not go quietly. With a ready pulpit at his disposal, he publicly proclaimed his doubts over the existence of atoms. He refused to believe that radioactivity involved the transmutation of elements. And believing that the origin of life was a matter beyond the expertise of science and better left to theologians, he vehemently opposed the doctrines of evolution, repeatedly railing against Charles Darwin. Sadly, this pioneer of modern science spent his waning years arguing that the Earth and the Sun could not be more than 100 million years old. And although his early mathematical prowess had transformed our understanding of the forces of nature, he would never truly accept the revolutionary changes he had helped bring about, and it was others who took his ideas to their logical conclusion. In the end Thomson came to stand for all that was old and complacent in the world of 19th century science. Once a scientific force to be reckoned with, a leader to whom others eagerly looked for answers, his peers in the end left him behind-and then meted out the ultimate punishment for not being able to keep step with them. For while they were content to bury him in Westminster Abbey alongside Isaac Newton, they used his death as an opportunity to write him out of the scientific record, effectively denying him his place in history. Kelvin's name soon faded from the headlines, his seminal ideas forgotten, his crucial contributions overshadowed. Destined to become the definitive biography of one of the most important figures in modern science, Degrees Kelvin unravels the mystery of a life composed of equal parts triumph and tragedy, hubris and humility, yielding a surprising and compelling portrait of a complex and enigmatic man.