Download or read book Biot s Variational Principle in Heat Conduction written by Thomas J. Lardner and published by . This book was released on 1972 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Principles in Heat Transfer written by Maurice Anthony Biot and published by . This book was released on 1970 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book develops a variational treatment of heat transfer which includes heat conduction and convection. It is intended to provide the foundation of a unified analysis of irreversible processes by methods analogous to those of classical mechanics. This opens the way to a formulation of heat transfer and dissipative phenomena in complex systems by means of Lagrangian-type equations and generalized coordinates. At the same time this approach suggests many approximate procedures and drastic simplifications applicable to the practical solution of a large category of problems in physics and technology. (Author).

Download or read book Application of Biot s Variational Principle in Heat Conduction written by Thomas J. Lardner and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biot's variational principle for heat conduction is applied to the solution of a number of one-dimensional problems. These problems illustrate the applicability of the principle to problems involving prescribed heat flux boundary conditions and to problems with temperature-dependent material properties.

Download or read book Biot s Variational Principle in Heat Conduction written by Thomas J. Lardner and published by . This book was released on 1961 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The literature on Biot's variational principle for heat conduction and the thermodynamic foundations of the principle are reviewed. An additional example treats the heating of slabs exposed to time-dependent heat fluxes. A specific example of a triangular heat pulse is presented in detail.

Download or read book On Biot s Variational Principle for Some Transient Heat Transfer Processes Involving Thermal Radiation written by Lian-Tuu Yeh and published by . This book was released on 1976 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational Principles in Heat Transfer written by and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Method of Weighted Residuals and Variational Principles written by Bruce A. Finlayson and published by SIAM. This book was released on 2013-12-30 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book covers the solution of differential equations in science and engineering in such as way as to provide an introduction for novices before progressing toward increasingly more difficult problems. The Method of Weighted Residuals and Variational Principles describes variational principles, including how to find them and how to use them to construct error bounds and create stationary principles. The book also illustrates how to use simple methods to find approximate solutions, shows how to use the finite element method for more complex problems, and provides detailed information on error bounds. Problem sets make this book ideal for self-study or as a course text.

Download or read book Variational Methods in Nonconservative Phenomena written by B. D. Vujanovic and published by Academic Press. This book was released on 1989-05-01 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include

Download or read book Variational Methods in the Mechanics of Solids written by S. Nemat-Nasser and published by Elsevier. This book was released on 2017-01-31 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational Methods in the Mechanics of Solids contains the proceedings of the International Union of Theoretical and Applied Mechanics Symposium on Variational Methods in the Mechanics of Solids, held at Northwestern University in Evanston, Illinois, on September 11-13, 1978. The papers focus on advances in the application of variational methods to a variety of mathematically and technically significant problems in solid mechanics. The discussions are organized around three themes: thermomechanical behavior of composites, elastic and inelastic boundary value problems, and elastic and inelastic dynamic problems. This book is comprised of 58 chapters and opens by addressing some questions of asymptotic expansions connected with composite and with perforated materials. The following chapters explore mathematical and computational methods in plasticity; variational irreversible thermodynamics of open physical-chemical continua; macroscopic behavior of elastic material with periodically spaced rigid inclusions; and application of the Lanczos method to structural vibration. Finite deformation of elastic beams and complementary theorems of solid mechanics are also considered, along with numerical contact elastostatics; periodic solutions in plasticity and viscoplasticity; and the convergence of the mixed finite element method in linear elasticity. This monograph will appeal to practitioners of mathematicians as well as theoretical and applied mechanics.

Download or read book Use of Biots Variational Principle for Heat Conduction Using a Transcendental Profile Function written by William Wallace Smith and published by . This book was released on 1965 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Approximate Heat Conduction Solutions for Non planar Geometries written by Thomas J. Lardner and published by . This book was released on 1963 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: The temperature distribution in the region exterior to a spherical cavity whose surface temperature is constant is determined using Biot's variational principle for heat conduction and Goodman's heat balance integral technique. The procedure for applying the variational principle to problems of non-planar geometries is discussed. The heat flux at the surface of the cavity is evaluated by the two methods and compared with the exact solution. This paper complements a previous paper in that the applicability of the two above mentioned approximate techniques to heat conduction problems with non-planar geometries is treated. (Author).

Download or read book Variational Principles in Thermo and Magneto elasticity written by Heinz Parkus and published by Springer. This book was released on 1972 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analysis Of Heat And Mass Transfer written by ECKERT and published by CRC Press. This book was released on 1986-03-01 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variational and Extremum Principles in Macroscopic Systems written by Stanislaw Sieniutycz and published by Elsevier. This book was released on 2010-07-07 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a growing trend to derive models of macroscopic phenomena encountered in the fields of engineering, physics, chemistry, ecology, self-organisation theory and econophysics from various variational or extremum principles. Through the link between the integral extremum of a functional and the local extremum of a function (explicit, for example, in the Pontryagin’s maximum principle variational and extremum principles are mutually related. Thus it makes sense to consider them within a common context. The main goal of Variational and Extremum Principles in Macroscopic Systems is to collect various mathematical formulations and examples of physical reasoning that involve both basic theoretical aspects and applications of variational and extremum approaches to systems of the macroscopic world. The first part of the book is focused on the theory, whereas the second focuses on applications. The unifying variational approach is used to derive the balance or conservation equations, phenomenological equations linking fluxes and forces, equations of change for processes with coupled transfer of energy and substance, and optimal conditions for energy management. A unique multidisciplinary synthesis of variational and extremum principles in theory and application A comprehensive review of current and past achievements in variational formulations for macroscopic processes Uses Lagrangian and Hamiltonian formalisms as a basis for the exposition of novel approaches to transfer and conversion of thermal, solar and chemical energy

Download or read book Variational Methods in Theoretical Mechanics written by J.T. Oden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U. S. Ai r Force Offi ce of Scientific Research. We are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date.

Download or read book Biot s Variational Technique Applied to One Dimensional Transient Heat Conduction with Spatially Varied Heat Generation written by Avinash Behari Lal and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appendices: p. 67-88.

Download or read book Advances in Heat Transfer written by and published by Academic Press. This book was released on 1989-04-01 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Heat Transfer