Mathematics Of Heat Transfer
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| Author | : Liqiu Wang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 524 |
| Release | : 2007-12-20 |
| Genre | : Science |
| ISBN | : 3540743030 |
Many phenomena in social, natural and engineering fields are governed by wave, potential, parabolic heat-conduction, hyperbolic heat-conduction and dual-phase-lagging heat-conduction equations. This monograph examines these equations: their solution structures, methods of finding their solutions under various supplementary conditions, as well as the physical implication and applications of their solutions.
| Author | : D. V. Widder |
| Publisher | : Academic Press |
| Total Pages | : 285 |
| Release | : 1976-01-22 |
| Genre | : Science |
| ISBN | : 0080873839 |
| Author | : G. E. Tupholme |
| Publisher | : Clarendon Press/Institute of Mathematics and its Applications |
| Total Pages | : 361 |
| Release | : 1998-07-09 |
| Genre | : |
| ISBN | : 0191590908 |
During this century, as no other, the two themes of mathematics and heat transfer have become inextricably intertwined, and it was with this underlying sentiment that this volume was conceived. It includes contributions from fifteen countries throughout the world, covering various problems in heat transfer. The contributors work in diverse fields and include mathematicians, theoretical engineers, experimentalists and industrialists.
| Author | : M. Necati Ozisik |
| Publisher | : Courier Corporation |
| Total Pages | : 518 |
| Release | : 2002-01-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9780486495156 |
Intended for first-year graduate courses in heat transfer, including topics relevant to aerospace engineering and chemical and nuclear engineering, this hardcover book deals systematically and comprehensively with modern mathematical methods of solving problems in heat conduction and diffusion. Includes illustrative examples and problems, plus helpful appendixes. 134 illustrations. 1968 edition.
| Author | : Samuel J. Ling |
| Publisher | : |
| Total Pages | : 818 |
| Release | : 2017-12-19 |
| Genre | : Science |
| ISBN | : 9789888407613 |
University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME II Unit 1: Thermodynamics Chapter 1: Temperature and Heat Chapter 2: The Kinetic Theory of Gases Chapter 3: The First Law of Thermodynamics Chapter 4: The Second Law of Thermodynamics Unit 2: Electricity and Magnetism Chapter 5: Electric Charges and Fields Chapter 6: Gauss's Law Chapter 7: Electric Potential Chapter 8: Capacitance Chapter 9: Current and Resistance Chapter 10: Direct-Current Circuits Chapter 11: Magnetic Forces and Fields Chapter 12: Sources of Magnetic Fields Chapter 13: Electromagnetic Induction Chapter 14: Inductance Chapter 15: Alternating-Current Circuits Chapter 16: Electromagnetic Waves
| Author | : Je-Chin Han |
| Publisher | : CRC Press |
| Total Pages | : 595 |
| Release | : 2022-06-24 |
| Genre | : Science |
| ISBN | : 1000597296 |
Analytical Heat Transfer explains how to analyze and solve conduction, convection, and radiation heat transfer problems. It enables students to tackle complex engineering heat transfer problems prevalent in practice. Covering heat transfer in high-speed flows and unsteady highly turbulent flows, the book also discusses enhanced heat transfer in channels, heat transfer in rotating channels, numerical modeling for turbulent flow heat transfer, and thermally developing heat transfer in a circular tube. The second edition features new content on Duhamel’s superposition method, Green’s function method for transient heat conduction, finite-difference method for steady state and transient heat conduction in cylindrical coordinates, and laminar mixed convection. It includes two new chapters on laminar-to-turbulent transitional heat transfer and turbulent flow heat transfer enhancement, in addition to end-of-chapter problems. The book bridges the gap between basic heat transfer undergraduate courses and advanced heat transfer graduate courses for a single semester of intermediate heat transfer, advanced conduction/radiation heat transfer, or convection heat transfer. Features: Focuses on analyzing and solving classic heat transfer problems in conduction, convection, and radiation Covers 2-D and 3-D view factor evaluation, combined radiation with conduction and/or convection, and gas radiation optically thin and optically thick limits Features updated content and new chapters on mass and heat transfer analogy, thermally developing heat transfer in a circular tube, laminar-turbulent transitional heat transfer, unsteady highly turbulent flows, enhanced heat transfer in channels, heat transfer in rotating channels, and numerical modeling for turbulent flow heat transfer Provides step-by-step mathematical formula derivations, analytical solution procedures, and demonstration examples Includes end-of-chapter problems with an accompanying Solutions Manual for instructors This book is ideal for undergraduate and graduate students studying basic heat transfer and advanced heat transfer.
| Author | : Yunus Ali Cengel |
| Publisher | : |
| Total Pages | : |
| Release | : 2003 |
| Genre | : |
| ISBN | : |
| Author | : David W. Hahn |
| Publisher | : John Wiley & Sons |
| Total Pages | : 754 |
| Release | : 2012-08-20 |
| Genre | : Science |
| ISBN | : 1118330110 |
HEAT CONDUCTION Mechanical Engineering THE LONG-AWAITED REVISION OF THE BESTSELLER ON HEAT CONDUCTION Heat Conduction, Third Edition is an update of the classic text on heat conduction, replacing some of the coverage of numerical methods with content on micro- and nanoscale heat transfer. With an emphasis on the mathematics and underlying physics, this new edition has considerable depth and analytical rigor, providing a systematic framework for each solution scheme with attention to boundary conditions and energy conservation. Chapter coverage includes: Heat conduction fundamentals Orthogonal functions, boundary value problems, and the Fourier Series The separation of variables in the rectangular coordinate system The separation of variables in the cylindrical coordinate system The separation of variables in the spherical coordinate system Solution of the heat equation for semi-infinite and infinite domains The use of Duhamel’s theorem The use of Green’s function for solution of heat conduction The use of the Laplace transform One-dimensional composite medium Moving heat source problems Phase-change problems Approximate analytic methods Integral-transform technique Heat conduction in anisotropic solids Introduction to microscale heat conduction In addition, new capstone examples are included in this edition and extensive problems, cases, and examples have been thoroughly updated. A solutions manual is also available. Heat Conduction is appropriate reading for students in mainstream courses of conduction heat transfer, students in mechanical engineering, and engineers in research and design functions throughout industry.
| Author | : Glenn Fulford |
| Publisher | : Cambridge University Press |
| Total Pages | : 220 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9780521001816 |
An undergraduate text focussing on mathematical modelling stimulated by contemporary industrial problems.
| Author | : Abram S. Dorfman |
| Publisher | : John Wiley & Sons |
| Total Pages | : 458 |
| Release | : 2017-02-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1119320569 |
Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.
