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Finite Difference Methods In Heat Transfer

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Finite Difference Methods In Heat Transfer

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Author : M. Necati Özişik
language : en
Publisher: CRC Press
Release Date : 2017-07-12

Finite Difference Methods In Heat Transfer written by M. Necati Özişik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-12 with Science categories.

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.

Finite Difference Methods In Heat Transfer

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Author : M. Necati Özişik
language : en
Publisher: CRC Press
Release Date : 2017-07-20

Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches

Finite Difference Methods In Heat Transfer

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Author : M. N. Ozisik
language : en
Publisher: CRC-Press
Release Date : 1994-04-25

Finite Difference Methods In Heat Transfer written by M. N. Ozisik and has been published by CRC-Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-04-25 with Technology & Engineering categories.

Finite Difference Methods In Heat Transfer Second Edition

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Author : Necati Ozisik
language : en
Publisher: CRC Press
Release Date : 2016-06-26

Finite Difference Methods In Heat Transfer Second Edition written by Necati Ozisik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-26 with Science categories.

This text focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering.

Finite Difference Methods In Financial Engineering

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Author : Daniel J. Duffy
language : en
Publisher: John Wiley & Sons
Release Date : 2013-10-28

Finite Difference Methods In Financial Engineering written by Daniel J. Duffy and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-28 with Business & Economics categories.

The world of quantitative finance (QF) is one of the fastest growing areas of research and its practical applications to derivatives pricing problem. Since the discovery of the famous Black-Scholes equation in the 1970's we have seen a surge in the number of models for a wide range of products such as plain and exotic options, interest rate derivatives, real options and many others. Gone are the days when it was possible to price these derivatives analytically. For most problems we must resort to some kind of approximate method. In this book we employ partial differential equations (PDE) to describe a range of one-factor and multi-factor derivatives products such as plain European and American options, multi-asset options, Asian options, interest rate options and real options. PDE techniques allow us to create a framework for modeling complex and interesting derivatives products. Having defined the PDE problem we then approximate it using the Finite Difference Method (FDM). This method has been used for many application areas such as fluid dynamics, heat transfer, semiconductor simulation and astrophysics, to name just a few. In this book we apply the same techniques to pricing real-life derivative products. We use both traditional (or well-known) methods as well as a number of advanced schemes that are making their way into the QF literature: Crank-Nicolson, exponentially fitted and higher-order schemes for one-factor and multi-factor options Early exercise features and approximation using front-fixing, penalty and variational methods Modelling stochastic volatility models using Splitting methods Critique of ADI and Crank-Nicolson schemes; when they work and when they don't work Modelling jumps using Partial Integro Differential Equations (PIDE) Free and moving boundary value problems in QF Included with the book is a CD containing information on how to set up FDM algorithms, how to map these algorithms to C++ as well as several working programs for one-factor and two-factor models. We also provide source code so that you can customize the applications to suit your own needs.

Finite Difference Methods In Heat Transfer

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Author : M. Necati Ozisik
language : en
Publisher: CRC Press
Release Date : 1995-09

Finite Difference Methods In Heat Transfer written by M. Necati Ozisik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09 with categories.

Finite Difference Methods in Heat Transfer presents a clear, step-by-step delineation of finite difference methods for solving engineering problems governed by ordinary & 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 & widely used finite difference techniques. The physical situations considered include the steady state & transient heat conduction, phase-change involving melting & solidification, steady & transient forced convection inside ducts, free convection over a flat plate, hyperbolic heat conduction, nonlinear diffusion, numerical grid generation techniques, & hybrid numerical-analytic solutions.

Heat Transfer Calculations Using Finite Difference Equations

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Author : David R. Croft
language : en
Publisher: Elsevier Science & Technology
Release Date : 1977

Heat Transfer Calculations Using Finite Difference Equations written by David R. Croft and has been published by Elsevier Science & Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Science categories.

Fundamentals Of The Finite Element Method For Heat And Fluid Flow

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Author : Roland W. Lewis
language : en
Publisher: John Wiley & Sons
Release Date : 2004-07-16

Fundamentals Of The Finite Element Method For Heat And Fluid Flow written by Roland W. Lewis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-16 with Science categories.

Heat transfer is the area of engineering science which describes the energy transport between material bodies due to a difference in temperature. The three different modes of heat transport are conduction, convection and radiation. In most problems, these three modes exist simultaneously. However, the significance of these modes depends on the problems studied and often, insignificant modes are neglected. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems. From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Problems with slow fluid motion and heat transfer can be difficult problems to handle. Therefore, the complexity of combined fluid flow and heat transfer problems should not be underestimated and should be dealt with carefully. This book: Is ideal for teaching senior undergraduates the fundamentals of how to use the Finite Element Method to solve heat transfer and fluid dynamics problems Explains how to solve various heat transfer problems with different types of boundary conditions Uses recent computational methods and codes to handle complex fluid motion and heat transfer problems Includes a large number of examples and exercises on heat transfer problems In an era of parallel computing, computational efficiency and easy to handle codes play a major part. Bearing all these points in mind, the topics covered on combined flow and heat transfer in this book will be an asset for practising engineers and postgraduate students. Other topics of interest for the heat transfer community, such as heat exchangers and radiation heat transfer, are also included.

Finite Difference Computing With Pdes

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Author : Hans Petter Langtangen
language : en
Publisher: Springer
Release Date : 2017-06-21

Finite Difference Computing With Pdes written by Hans Petter Langtangen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-21 with Computers categories.

This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Numerical Heat Transfer And Fluid Flow

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Author : Suhas Patankar
language : en
Publisher: Taylor & Francis
Release Date : 2018-10-08

Numerical Heat Transfer And Fluid Flow written by Suhas Patankar and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Science categories.

This book focuses on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms. Using simple algebra and elementary calculus, the author develops numerical methods for predicting these processes mainly based on physical considerations. Through this approach, readers will develop a deeper understanding of the underlying physical aspects of heat transfer and fluid flow as well as improve their ability to analyze and interpret computed results.

Finite Difference Methods In Heat Transfer

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