Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer

DOWNLOAD

Download Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer

DOWNLOAD
Author : Ganji, Davood Domiri
language : en
Publisher: IGI Global
Release Date : 2017-07-26

Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer written by Ganji, Davood Domiri and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Technology & Engineering categories.

Engineering applications offer benefits and opportunities across a range of different industries and fields. By developing effective methods of analysis, results and solutions are produced with higher accuracy. Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer is an innovative source of academic research on the optimized techniques for analyzing heat transfer equations and the application of these methods across various fields. Highlighting pertinent topics such as the differential transformation method, industrial applications, and the homotopy perturbation method, this book is ideally designed for engineers, researchers, graduate students, professionals, and academics interested in applying new mathematical techniques in engineering sciences.

Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer

DOWNLOAD
Author : Davood Domiri Ganji
language : en
Publisher: Engineering Science Reference
Release Date : 2017-07-26

Numerical And Analytical Solutions For Solving Nonlinear Equations In Heat Transfer written by Davood Domiri Ganji and has been published by Engineering Science Reference this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Mathematics categories.

Engineering applications offer benefits and opportunities across a range of different industries and fields. By developing effective methods of analysis, results and solutions are produced with higher accuracy. Numerical and Analytical Solutions for Solving Nonlinear Equations in Heat Transfer is an innovative source of academic research on the optimized techniques for analyzing heat transfer equations and the application of these methods across various fields. Highlighting pertinent topics such as the differential transformation method, industrial applications, and the homotopy perturbation method, this book is ideally designed for engineers, researchers, graduate students, professionals, and academics interested in applying new mathematical techniques in engineering sciences.

Nonlinear Flow Phenomena And Homotopy Analysis

DOWNLOAD
Author : Kuppalapalle Vajravelu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-22

Nonlinear Flow Phenomena And Homotopy Analysis written by Kuppalapalle Vajravelu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-22 with Mathematics categories.

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.

Advance Numerical Techniques To Solve Linear And Nonlinear Differential Equations

DOWNLOAD
Author : Geeta Arora
language : en
Publisher: CRC Press
Release Date : 2024-01-23

Advance Numerical Techniques To Solve Linear And Nonlinear Differential Equations written by Geeta Arora and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-23 with Mathematics categories.

Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models. Models guided by differential equations with intuitive solutions can be used throughout engineering and the sciences. Almost any changing system may be described by a set of differential equations. They may be found just about anywhere you look in fields including physics, engineering, economics, sociology, biology, business, healthcare, etc. The nature of these equations has been investigated by several mathematicians over the course of hundreds of years and, consequently, numerous effective methods for solving them have been created. It is often impractical to find a purely analytical solution to a system described by a differential equation because either the system itself is too complex or the system being described is too vast. Numerical approaches and computer simulations are especially helpful in such systems. The content provided in this book involves real-world examples, explores research challenges in numerical treatment, and demonstrates how to create new numerical methods for resolving problems. Theories and practical applications in the sciences and engineering are also discussed. Students of engineering and applied mathematics, as well as researchers and engineers who use computers to solve problems numerically or oversee those who do, will find this book focusing on advance numerical techniques to solve linear and nonlinear differential equations useful.

Nonlinear Systems In Heat Transfer

DOWNLOAD
Author : Davood Domairry Ganji
language : en
Publisher: Elsevier
Release Date : 2017-09-15

Nonlinear Systems In Heat Transfer written by Davood Domairry Ganji and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-15 with Science categories.

Nonlinear Heat Transfer: Mathematical Modeling and Analytical Methods addresses recent progress and original research in nonlinear science and its application in the area of heat transfer, with a particular focus on the most important advances and challenging applications. The importance of understanding analytical methods for solving linear and nonlinear constitutive equations is essential in studying engineering problems. This book provides a comprehensive range of (partial) differential equations, applied in the field of heat transfer, tackling a comprehensive range of nonlinear mathematical problems in heat radiation, heat conduction, heat convection, heat diffusion and non-Newtonian fluid systems. Providing various innovative analytical techniques and their practical application in nonlinear engineering problems is the unique point of this book. Drawing a balance between theory and practice, the different chapters of the book focus not only on the broader linear and nonlinear problems, but also applied examples of practical solutions by the outlined methodologies. - Demonstrates applied mathematical techniques in the engineering applications, especially in nonlinear phenomena - Exhibits a complete understanding of analytical methods and nonlinear differential equations in heat transfer - Provides the tools to model and interpret applicable methods in heat transfer processes or systems to solve related complexities

The Optimal Homotopy Asymptotic Method

DOWNLOAD
Author : Vasile Marinca
language : en
Publisher: Springer
Release Date : 2015-04-02

The Optimal Homotopy Asymptotic Method written by Vasile Marinca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-02 with Technology & Engineering categories.

This book emphasizes in detail the applicability of the Optimal Homotopy Asymptotic Method to various engineering problems. It is a continuation of the book “Nonlinear Dynamical Systems in Engineering: Some Approximate Approaches”, published at Springer in 2011 and it contains a great amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines and so on. The main structure of the book consists of 5 chapters. The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method. The last three chapters, from Chapter 3 to Chapter 5, are introducing three distinct alternatives of the Optimal Homotopy Asymptotic Method with illustrative applications to nonlinear dynamical systems. The third chapter deals with the first alternative of our approach with two iterations. Five applications are presented from fluid mechanics and nonlinear oscillations. The Chapter 4 presents the Optimal Homotopy Asymptotic Method with a single iteration and solving the linear equation on the first approximation. Here are treated 32 models from different fields of engineering such as fluid mechanics, thermodynamics, nonlinear damped and undamped oscillations, electrical machines and even from physics and biology. The last chapter is devoted to the Optimal Homotopy Asymptotic Method with a single iteration but without solving the equation in the first approximation.

Solving Direct And Inverse Heat Conduction Problems

DOWNLOAD
Author : Jan Taler
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-16

Solving Direct And Inverse Heat Conduction Problems written by Jan Taler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-16 with Science categories.

This book is devoted to the concept of simple and inverse heat conduction problems. The process of solving direct problems is based on the tempera ture determination when initial and boundary conditions are known, while the solving of inverse problems is based on the search for boundary condi tions when temperature properties are known, provided that temperature is the function of time, at the selected inner points of a body. In the first part of the book (Chaps. 1-5), we have discussed theoretical basis for thermal conduction in solids, motionless liquids and liquids that move in time. In the second part of the book, (Chapters 6-26), we have discussed at great length different engineering problems, which we have presented together with the proposed solutions in the form of theoretical and mathematical examples. It was our intention to acquaint the reader in a step-by-step fashion with all the mathematical derivations and solutions to some of the more significant transient and steady-state heat conduction problems with respect to both, the movable and immovable heat sources and the phenomena of melting and freezing. Lots of attention was paid to non-linear problems. The methods for solving heat conduction problems, i. e. the exact and approximate analytical methods and numerical methods, such as the finite difference method, the finite volume method, the finite element method and the boundary element method are discussed in great detail. Aside from algorithms, applicable computational programs, written in a FORTRAN language, were given.

Solving Frontier Problems Of Physics The Decomposition Method

DOWNLOAD
Author : G. Adomian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Solving Frontier Problems Of Physics The Decomposition Method written by G. Adomian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.

The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems. This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches. The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted. For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.

Applied Mechanics Reviews

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1973

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mechanics, Applied categories.

Microjoining And Nanojoining

DOWNLOAD
Author : Y N Zhou
language : en
Publisher: Elsevier
Release Date : 2008-03-27

Microjoining And Nanojoining written by Y N Zhou and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-27 with Technology & Engineering categories.

Many important advances in technology have been associated with nanotechnology and the miniaturization of components, devices and systems. Microjoining has been closely associated with the evolution of microelectronic packaging, but actually covers a much broader area, and is essential for manufacturing many electronic, precision and medical products.Part one reviews the basics of microjoining, including solid-state bonding and fusion microwelding. Part two covers microjoining and nanojoining processes, such as bonding mechanisms and metallurgy, process development and optimization, thermal stresses and distortion, positioning and fixturing, sensing, and numerical modelling. Part three discusses microjoining of materials such as plastics, ceramics, metals and advanced materials such as shape memory alloys and nanomaterials. The book also discusses applications of microjoining such as joining superconductors, the manufacture of medical devices and the sealing of solid oxide fuel cells.This book provides a comprehensive overview of the fundamental aspects of microjoining processes and techniques. It is a valuable reference for production engineers, designers and researchers using or studying microjoining technologies in such industries as microelectronics and biomedical engineering. - Reviews the basics of nanojoining including solid-state bonding and fusion microwelding - Covers microjoining and nanojoining processes such as bonding mechanisms and metallurgy, sensing and numerical modelling - Examines applications of microjoining such as the manufacturing of medical devices, and the sealing of solid oxide fuel cells