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Keller-Box Method and Its Application

Keller-Box Method and Its Application
Author: Kuppalapalle Vajravelu
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 433
Release: 2014-08-19
Genre: Science
ISBN: 3110368293

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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 break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.


Keller-Box Method and Its Application

Keller-Box Method and Its Application
Author: Kuppalapalle Vajravelu
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 414
Release: 2014-06-18
Genre: Science
ISBN: 3110271788

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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 break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.


Computational Science and Its Applications -- ICCSA 2013

Computational Science and Its Applications -- ICCSA 2013
Author: Beniamino Murgante
Publisher: Springer
Total Pages: 687
Release: 2013-06-22
Genre: Computers
ISBN: 3642396402

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The five-volume set LNCS 7971-7975 constitutes the refereed proceedings of the 13th International Conference on Computational Science and Its Applications, ICCSA 2013, held in Ho Chi Minh City, Vietnam in June 2013. The 248 revised papers presented in five tracks and 33 special sessions and workshops were carefully reviewed and selected. The 46 papers included in the five general tracks are organized in the following topical sections: computational methods, algorithms and scientific applications; high-performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 202 papers presented in special sessions and workshops cover a wide range of topics in computational sciences ranging from computational science technologies to specific areas of computational sciences such as computer graphics and virtual reality.


Numerical Methods for Two-Point Boundary-Value Problems

Numerical Methods for Two-Point Boundary-Value Problems
Author: Herbert B. Keller
Publisher: Courier Dover Publications
Total Pages: 417
Release: 2018-11-14
Genre: Mathematics
ISBN: 0486828344

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Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.


Simulation of Battery Systems

Simulation of Battery Systems
Author: Farschad Torabi
Publisher: Academic Press
Total Pages: 430
Release: 2019-11-06
Genre: Science
ISBN: 0128165952

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Simulation of Battery Systems: Fundamentals and Applications covers both the fundamental and technical aspects of battery systems. It is a solid reference on the simulation of battery dynamics based on fundamental governing equations of porous electrodes. Sections cover the fundamentals of electrochemistry and how to obtain electrochemical governing equations for porous electrodes, the governing equations and physical characteristics of lead-acid batteries, the physical characteristics of zinc-silver oxide batteries, experimental tests and parameters necessary for simulation and validation of battery dynamics, and an environmental impact and techno-economic assessment of battery systems for different applications, such as electric vehicles and battery energy storage. The book contains introductory information, with most chapters requiring a solid background in engineering or applied science. Battery industrial companies who want to improve their industrial batteries will also find this book useful. Includes carefully selected in-text problems, case studies and illustrative examples Features representative chapter-end problems, along with practical systems and applications Covers various numerical methods, including those based on CFD and optimization, also including free codes and databases


Physical and Computational Aspects of Convective Heat Transfer

Physical and Computational Aspects of Convective Heat Transfer
Author: T. Cebeci
Publisher: Springer Science & Business Media
Total Pages: 497
Release: 2013-04-18
Genre: Science
ISBN: 366202411X

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This volume is concerned with the transport of thermal energy in flows of practical significance. The temperature distributions which result from convective heat transfer, in contrast to those associated with radiation heat transfer and conduction in solids, are related to velocity characteristics and we have included sufficient information of momentum transfer to make the book self-contained. This is readily achieved because of the close relation ship between the equations which represent conservation of momentum and energy: it is very desirable since convective heat transfer involves flows with large temperature differences, where the equations are coupled through an equation of state, as well as flows with small temperature differences where the energy equation is dependent on the momentum equation but the momentum equation is assumed independent of the energy equation. The equations which represent the conservation of scalar properties, including thermal energy, species concentration and particle number density can be identical in form and solutions obtained in terms of one dependent variable can represent those of another. Thus, although the discussion and arguments of this book are expressed in terms of heat transfer, they are relevant to problems of mass and particle transport. Care is required, however, in making use of these analogies since, for example, identical boundary conditions are not usually achieved in practice and mass transfer can involve more than one dependent variable.


Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes

Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes
Author: Kuppalapalle Vajravelu
Publisher: Academic Press
Total Pages: 202
Release: 2015-09-08
Genre: Mathematics
ISBN: 0128037857

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Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering. Addresses basic concepts to understand the theoretical framework for the method Provides examples of nonlinear problems that have been solved through the use of numerical method Focuses on fluid flow problems governed by nonlinear equations


Applications of Heat, Mass and Fluid Boundary Layers

Applications of Heat, Mass and Fluid Boundary Layers
Author: R. O. Fagbenle
Publisher: Woodhead Publishing
Total Pages: 530
Release: 2020-01-22
Genre: Science
ISBN: 0128179503

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Applications of Heat, Mass and Fluid Boundary Layers brings together the latest research on boundary layers where there has been remarkable advancements in recent years. This book highlights relevant concepts and solutions to energy issues and environmental sustainability by combining fundamental theory on boundary layers with real-world industrial applications from, among others, the thermal, nuclear and chemical industries. The book's editors and their team of expert contributors discuss many core themes, including advanced heat transfer fluids and boundary layer analysis, physics of fluid motion and viscous flow, thermodynamics and transport phenomena, alongside key methods of analysis such as the Merk-Chao-Fagbenle method. This book’s multidisciplinary coverage will give engineers, scientists, researchers and graduate students in the areas of heat, mass, fluid flow and transfer a thorough understanding of the technicalities, methods and applications of boundary layers, with a unified approach to energy, climate change and a sustainable future. Presents up-to-date research on boundary layers with very practical applications across a diverse mix of industries Includes mathematical analysis to provide detailed explanation and clarity Provides solutions to global energy issues and environmental sustainability


Micropolar Fluids

Micropolar Fluids
Author: Grzegorz Lukaszewicz
Publisher: Springer Science & Business Media
Total Pages: 262
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461206413

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Micropolar fluids are fluids with microstructure. They belong to a class of fluids with nonsymmetric stress tensor that we shall call polar fluids, and include, as a special case, the well-established Navier-Stokes model of classical fluids that we shall call ordinary fluids. Physically, micropolar fluids may represent fluids consisting of rigid, randomly oriented (or spherical) particles suspended in a viscous medium, where the deformation of fluid particles is ignored. The model of micropolar fluids introduced in [65] by C. A. Eringen is worth studying as a very well balanced one. First, it is a well-founded and significant generalization of the classical Navier-Stokes model, covering, both in theory and applications, many more phenomena than the classical one. Moreover, it is elegant and not too complicated, in other words, man ageable to both mathematicians who study its theory and physicists and engineers who apply it. The main aim of this book is to present the theory of micropolar fluids, in particular its mathematical theory, to a wide range of readers. The book also presents two applications of micropolar fluids, one in the theory of lubrication and the other in the theory of porous media, as well as several exact solutions of particular problems and a numerical method. We took pains to make the presentation both clear and uniform.


Differential Quadrature and Its Application in Engineering

Differential Quadrature and Its Application in Engineering
Author: Chang Shu
Publisher: Springer Science & Business Media
Total Pages: 356
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447104072

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In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and problems of flow, structure and vibration. Differential quadrature provides a global approach to numerical discretization, which approximates the derivatives by a linear weighted sum of all the functional values in the whole domain. Following the analysis of function approximation and the analysis of a linear vector space, it is shown in the book that the weighting coefficients of the polynomial-based, Fourier expansion-based, and exponential-based differential quadrature methods can be computed explicitly. It is also demonstrated that the polynomial-based differential quadrature method is equivalent to the highest-order finite difference scheme. Furthermore, the relationship between differential quadrature and conventional spectral collocation is analysed. The book contains material on: - Linear Vector Space Analysis and the Approximation of a Function; - Polynomial-, Fourier Expansion- and Exponential-based Differential Quadrature; - Differential Quadrature Weighting Coefficient Matrices; - Solution of Differential Quadrature-resultant Equations; - The Solution of Incompressible Navier-Stokes and Helmholtz Equations; - Structural and Vibrational Analysis Applications; - Generalized Integral Quadrature and its Application in the Solution of Boundary Layer Equations. Three FORTRAN programs for simulation of driven cavity flow, vibration analysis of plate and Helmholtz eigenvalue problems respectively, are appended. These sample programs should give the reader a better understanding of differential quadrature and can easily be modified to solve the readers own engineering problems.