An Integral Approach To Transient Heat Conduction Problems With Phase Transition
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| Author | : Tse-Fou Zien |
| Publisher | : |
| Total Pages | : 56 |
| Release | : 1975 |
| Genre | : Ablation (Aerothermodynamics) |
| ISBN | : |
An approximate method for studying transient heat-conduction problems is presented. Its application to various linear problems and nonlinear problems involving phase transitions is described by means of several idealized problems. The method is basically a refined version of the well-known Karman-Pohlhausen integral technique in boundary-layer theory, and represents a further development of the basic ideas previously exploited to calculate skin friction and heat transfer in boundary-layer flows. The approximate solutions obtained are extensively compared with existing exact solutions and those of the classical Karman-Pohlhausen method. From the simplicity and accuracy of the present method as demonstrated in the results, the potential utility of the method in providing simple, engineering solutions to complex aerodynamic heating problems can be inferred.
| Author | : Tse-Fou Zien |
| Publisher | : |
| Total Pages | : 44 |
| Release | : 1975 |
| Genre | : Ablation (Aerothermodynamics) |
| ISBN | : |
An approximate method for studying transient heat-conduction problems is presented. Its application to various linear problems and nonlinear problems involving phase transitions is described by means of several idealized problems. The method is basically a refined version of the well-known Karman-Pohlhausen integral technique in boundary-layer theory, and represents a further development of the basic ideas previously exploited to calculate skin friction and heat transfer in boundary-layer flows. The approximate solutions obtained are extensively compared with existing exact solutions and those of the classical Karman-Pohlhausen method. From the simplicity and accuracy of the present method as demonstrated in the results, the potential utility of the method in providing simple, engineering solutions to complex aerodynamic heating problems can be inferred.
| Author | : M. Necati Özışık |
| Publisher | : John Wiley & Sons |
| Total Pages | : 716 |
| Release | : 1993-03-22 |
| Genre | : Science |
| ISBN | : 9780471532569 |
This Second Edition for the standard graduate level course in conduction heat transfer has been updated and oriented more to engineering applications partnered with real-world examples. New features include: numerous grid generation--for finding solutions by the finite element method--and recently developed inverse heat conduction. Every chapter and reference has been updated and new exercise problems replace the old.
| Author | : M. Necati Özişik |
| Publisher | : CRC Press |
| Total Pages | : 432 |
| Release | : 2017-07-12 |
| Genre | : Science |
| ISBN | : 1351686992 |
Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary and partial differential equations, with emphasis on heat transfer applications. The finite difference techniques presented apply to the numerical solution of problems governed by similar differential equations encountered in many other fields. Fundamental concepts are introduced in an easy-to-follow manner. Representative examples illustrate the application of a variety of powerful and widely used finite difference techniques. The physical situations considered include the steady state and transient heat conduction, phase-change involving melting and solidification, steady and transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, and hybrid numerical-analytic solutions.
| Author | : Jan Taler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 890 |
| Release | : 2010-04-16 |
| Genre | : Science |
| ISBN | : 3540334718 |
This book presents a solution for direct and inverse heat conduction problems, discussing the theoretical basis for the heat transfer process and presenting selected theoretical and numerical problems in the form of exercises with solutions. The book covers one-, two- and three dimensional problems which are solved by using exact and approximate analytical methods and numerical methods. An accompanying CD-Rom includes computational solutions of the examples and extensive FORTRAN code.
| 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 | : Latif M Jiji |
| Publisher | : Begell House Publishers |
| Total Pages | : 261 |
| Release | : 2003 |
| Genre | : Technology & Engineering |
| ISBN | : 9781567001914 |
The City College of the City University of New York New York, New York This book is unique in its organization, scope, pedagogical approach and ancillary material. Its distinguishing feature are: - Essential Topics. Critical elements of conduction heat transfer are judicially selected and organized for coverage in a one semester graduate course. - Balance. To provide students with the tools to model, analyze and solve a wide range of engineering applications involving conduction heat transfer, a balance is maintained between mathematical requirements and physical description. Mathematical techniques are presented in simplified fashion to be used as tools in obtaining solutions. Examples and problems are carefully selected to illustrate the application of principles, use of mathematics and construction of solutions. - Scope. In addition to the classical topics found in conduction textbooks, chapters on conduction in porous media, melting and freezing and perturbation solutions are included. Moreover, the second edition is distinguished by a unique chapter on heat transfer in living tissue. - PowerPoint Lectures. PowerPoint presentations are synchronized with the textbook. This eliminates the need for lecture note preparation and blackboard use by the instructor and note taking by students. - Interactive Classroom Environment. Eliminating blackboard use and note taking liberates both instructor and students. More time can be devoted to engaging students to encourage thinking and understanding through inquiry, discussion and dialog. - Problem Solving Methodology. Students are drilled in a systematic and logical procedure for solving conduction problems. Thoughprocess, assumptions, approximation, checking and evaluating results are emphasized. Students can apply this methodology in other courses as well as throughout their careers. - Online Solutions Manual. Solutions to problems are intended to serve as an important learning instrument. They follow the problem solving methodology format and are designed for online posting. - Online Tutor. A Summary of each chapter is prepared for posting. Key points and critical conditions are highlighted and emphasized. - Online Homework Facilitator. To assist students in solving homework problems, helpful hints and relevant observations are compiled for each problem. They can be selectively posted by the instructor.
| Author | : S. G. Ahmed |
| Publisher | : Bentham Science Publishers |
| Total Pages | : 647 |
| Release | : 2022-06-30 |
| Genre | : Mathematics |
| ISBN | : 9815040898 |
The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations involved in phase change transitions of materials due to heat transfer. Boundary layer applications are widespread in research and industry. Boundary Element Methods for Heat Transfer with Phase Change Problems: Theory and Application equips the reader with information about heat transfer problems occurring during phase changes. The book covers several boundary element methods, including methods for phase changes, fixed and moving domains and new approaches. The contents are rounded off with chapters on numerical results and industrial applications. Key features: - Simple, didactic presentation of boundary layer problems for heat transfer problems - Covers a wide range of boundary element methods - Includes methods for fixed and moving domains - Explains industrial applications of the methods - Includes solutions to numerical problems The book serves as a textbook for students of advanced mathematics and engineering. It is also a handbook for researchers working on numerical analysis, who require a focused volume on boundary element methods for heat transfer applications.
| Author | : Roland W. Lewis |
| Publisher | : John Wiley & Sons |
| Total Pages | : 296 |
| Release | : 1996-08-06 |
| Genre | : Science |
| ISBN | : 9780471943624 |
Heat transfer analysis is a problem of major significance in a vast range of industrial applications. These extend over the fields of mechanical engineering, aeronautical engineering, chemical engineering and numerous applications in civil and electrical engineering. If one considers the heat conduction equation alone the number of practical problems amenable to solution is extensive. Expansion of the work to include features such as phase change, coupled heat and mass transfer, and thermal stress analysis provides the engineer with the capability to address a further series of key engineering problems. The complexity of practical problems is such that closed form solutions are not generally possible. The use of numerical techniques to solve such problems is therefore considered essential, and this book presents the use of the powerful finite element method in heat transfer analysis. Starting with the fundamental general heat conduction equation, the book moves on to consider the solution of linear steady state heat conduction problems, transient analyses and non-linear examples. Problems of melting and solidification are then considered at length followed by a chapter on convection. The application of heat and mass transfer to drying problems and the calculation of both thermal and shrinkage stresses conclude the book. Numerical examples are used to illustrate the basic concepts introduced. This book is the outcome of the teaching and research experience of the authors over a period of more than 20 years.
| Author | : W. Minkowycz |
| Publisher | : CRC Press |
| Total Pages | : 424 |
| Release | : 2000-12-05 |
| Genre | : Science |
| ISBN | : 9781560325659 |
With contributions from leading experts, this second volume in the ser ies strikes a balance between generic and specific fundamentals and ge neric and specific applications. After opening with a broad overview o f the field of high-performance scientific computing and its role in f luid flow and heat transfer problems, the book goes on to cover such t opics as: unstructured meshes; spectral element method; use of the fin ite volume method for the numerical solution of radiative heat transfe r problems; heat conduction and the use of the boundary element method for both steady and unsteady problems; special numerical issues relat ed to solving microscale heat transfer problems; the Monte Carlo Metho d; flow and heat transfer in porous media; and the thermal management of electronic systems.
