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Analytical Methods For Heat Transfer And Fluid Flow Problems
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Book Synopsis Analytical Methods for Heat Transfer and Fluid Flow Problems by : Bernhard Weigand
Download or read book Analytical Methods for Heat Transfer and Fluid Flow Problems written by Bernhard Weigand and published by Springer. This book was released on 2015-05-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes useful analytical methods by applying them to real-world problems rather than solving the usual over-simplified classroom problems. The book demonstrates the applicability of analytical methods even for complex problems and guides the reader to a more intuitive understanding of approaches and solutions. Although the solution of Partial Differential Equations by numerical methods is the standard practice in industries, analytical methods are still important for the critical assessment of results derived from advanced computer simulations and the improvement of the underlying numerical techniques. Literature devoted to analytical methods, however, often focuses on theoretical and mathematical aspects and is therefore useless to most engineers. Analytical Methods for Heat Transfer and Fluid Flow Problems addresses engineers and engineering students. The second edition has been updated, the chapters on non-linear problems and on axial heat conduction problems were extended. And worked out examples were included.
Author :Kuppalapalle Vajravelu Publisher :Springer Science & Business Media ISBN 13 :364232102X Total Pages :197 pages Book Rating :4.6/5 (423 download)
Book Synopsis Nonlinear Flow Phenomena and Homotopy Analysis by : Kuppalapalle Vajravelu
Download or read book Nonlinear Flow Phenomena and Homotopy Analysis written by Kuppalapalle Vajravelu and published by Springer Science & Business Media. This book was released on 2013-07-22 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamentals of the Finite Element Method for Heat and Fluid Flow by : Roland W. Lewis
Download or read book Fundamentals of the Finite Element Method for Heat and Fluid Flow written by Roland W. Lewis and published by John Wiley and Sons. This book was released on 2008-02-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Experimental Methods in Heat Transfer and Fluid Mechanics by : Je-Chin Han
Download or read book Experimental Methods in Heat Transfer and Fluid Mechanics written by Je-Chin Han and published by CRC Press. This book was released on 2020-05-20 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Experimental Methods in Heat Transfer and Fluid Mechanics focuses on how to analyze and solve the classic heat transfer and fluid mechanics measurement problems in one book. This work serves the need of graduate students and researchers looking for advanced measurement techniques for thermal, flow, and heat transfer engineering applications. The text focuses on analyzing and solving classic heat transfer and fluid mechanics measurement problems, emphasizing fundamental principles, measurement techniques, data presentation, and uncertainty analysis. Overall, the text builds a strong and practical background for solving complex engineering heat transfer and fluid flow problems. Features Provides students with an understandable introduction to thermal-fluid measurement Covers heat transfer and fluid mechanics measurements from basic to advanced methods Explains and compares various thermal-fluid experimental and measurement techniques Uses a step-by-step approach to explaining key measurement principles Gives measurement procedures that readers can easily follow and apply in the lab
Book Synopsis Numerical Heat Transfer and Fluid Flow by : D. Srinivasacharya
Download or read book Numerical Heat Transfer and Fluid Flow written by D. Srinivasacharya and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers from the International Conference on Numerical Heat Transfer and Fluid Flow (NHTFF 2018), and presents the latest developments in computational methods in heat and mass transfer. It also discusses numerical methods such as finite element, finite difference, and finite volume applied to fluid flow problems. Providing a good balance between computational methods and analytical results applied to a wide variety of problems in heat transfer, transport and fluid mechanics, the book is a valuable resource for students and researchers working in the field of heat transfer and fluid dynamics.
Book Synopsis Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine by : Abram S. Dorfman
Download or read book Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine written by Abram S. Dorfman and published by John Wiley & Sons. This book was released on 2017-02-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.
Book Synopsis Numerical Heat Transfer and Fluid Flow by : Suhas Patankar
Download or read book Numerical Heat Transfer and Fluid Flow written by Suhas Patankar and published by CRC Press. This book was released on 2018-10-08 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analytical Fluid Dynamics, Third Edition by : George Emanuel
Download or read book Analytical Fluid Dynamics, Third Edition written by George Emanuel and published by CRC Press. This book was released on 2017-09-18 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Edition Now Covers Shock-Wave Analysis An in-depth presentation of analytical methods and physical foundations, Analytical Fluid Dynamics, Third Edition breaks down the "how" and "why" of fluid dynamics. While continuing to cover the most fundamental topics in fluid mechanics, this latest work emphasizes advanced analytical approaches to aid in the analytical process and corresponding physical interpretation. It also addresses the need for a more flexible mathematical language (utilizing vector and tensor analysis and transformation theory) to cover the growing complexity of fluid dynamics. Revised and updated, the text centers on shock-wave structure, shock-wave derivatives, and shock-produced vorticity; supersonic diffusers; thrust and lift from an asymmetric nozzle; and outlines operator methods and laminar boundary-layer theory. In addition, the discussion introduces pertinent assumptions, reasons for studying a particular topic, background discussion, illustrative examples, and numerous end-of-chapter problems. Utilizing a wide variety of topics on inviscid and viscous fluid dynamics, the author covers material that includes: Viscous dissipation The second law of thermodynamics Calorically imperfect gas flows Aerodynamic sweep Shock-wave interference Unsteady one-dimensional flow Internal ballistics Force and momentum balance The Substitution Principle Rarefaction shock waves A comprehensive treatment of flow property derivatives just downstream of an unsteady three-dimensional shock Shock-generated vorticity Triple points An extended version of the Navier‒Stokes equations Shock-free supersonic diffusers Lift and thrust from an asymmetric nozzle Analytical Fluid Dynamics, Third Edition outlines the basics of analytical fluid mechanics while emphasizing analytical approaches to fluid dynamics. Covering the material in-depth, this book provides an authoritative interpretation of formulations and procedures in analytical fluid dynamics, and offers analytical solutions to fluid dynamic problems.
Book Synopsis Analytical Solutions for Transport Processes by : Günter Brenn
Download or read book Analytical Solutions for Transport Processes written by Günter Brenn and published by Springer. This book was released on 2016-07-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides analytical solutions to a number of classical problems in transport processes, i.e. in fluid mechanics, heat and mass transfer. Expanding computing power and more efficient numerical methods have increased the importance of computational tools. However, the interpretation of these results is often difficult and the computational results need to be tested against the analytical results, making analytical solutions a valuable commodity. Furthermore, analytical solutions for transport processes provide a much deeper understanding of the physical phenomena involved in a given process than do corresponding numerical solutions. Though this book primarily addresses the needs of researchers and practitioners, it may also be beneficial for graduate students just entering the field.
Book Synopsis The Optimal Homotopy Asymptotic Method by : Vasile Marinca
Download or read book The Optimal Homotopy Asymptotic Method written by Vasile Marinca and published by Springer. This book was released on 2015-04-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling and Simulation of Fluid Flow and Heat Transfer by : Reshu Gupta
Download or read book Modeling and Simulation of Fluid Flow and Heat Transfer written by Reshu Gupta and published by CRC Press. This book was released on 2024-03-14 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the rapidly advancing modern world, scientific and technological understanding and innovation are reaching new heights. Computational fluid dynamics and heat transfer have emerged as powerful tools, playing a pivotal role in the analysis and design of complex engineering problems and processes. With the ability to mathematically model various engineering phenomena, these computational tools offer a deeper understanding of intricate dynamics before the physical prototype is created. Widely employed as simulation tools, computational fluid dynamics and heat transfer codes enable the virtual or digital prototype development of products and devices involving complex transport and multiphasic phenomena. They have become an indispensable element of the agile product development environment across diverse sectors of manufacturing, facilitating accelerated product development cycles. Key features of this book: Covers the analysis of advanced thermal engineering systems Explores the simulation of various fluids with slip effect Applies entropy and optimization techniques to thermal engineering systems Discusses heat and mass transfer phenomena Explores fluid flow and heat transfer in porous media Captures recent developments in analytical and computational methods used to investigate the complex mathematical models of fluid dynamics Covers the application of mathematical and computational modeling techniques to fluid flow problems in various geometries Modeling and Simulation of Fluid Flow and Heat Transfer delves into the fascinating world of fluid dynamics and heat transfer modeling, presenting an extensive exploration of these subjects. This book is a valuable resource for researchers, engineers, and students seeking to comprehend and apply numerical methods and computational tools in fluid dynamics and heat transfer problems.
Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition by : J. N. Reddy
Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Second Edition written by J. N. Reddy and published by CRC Press. This book was released on 2000-12-20 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical simulation of fluid mechanics and heat transfer problems is now a standard part of engineering practice. The widespread availability of capable computing hardware has led to an increased demand for computer simulations of products and processes during their engineering design and manufacturing phases. The range of fluid mechanics and heat transfer applications of finite element analysis has become quite remarkable, with complex, realistic simulations being carried out on a routine basis. The award-winning first edition of The Finite Element Method in Heat Transfer and Fluid Dynamics brought this powerful methodology to those interested in applying it to the significant class of problems dealing with heat conduction, incompressible viscous flows, and convection heat transfer. The Second Edition of this bestselling text continues to provide the academic community and industry with up-to-date, authoritative information on the use of the finite element method in the study of fluid mechanics and heat transfer. Extensively revised and thoroughly updated, new and expanded material includes discussions on difficult boundary conditions, contact and bulk nodes, change of phase, weighted-integral statements and weak forms, chemically reactive systems, stabilized methods, free surface problems, and much more. The Finite Element Method in Heat Transfer and Fluid Dynamics offers students a pragmatic treatment that views numerical computation as a means to an end and does not dwell on theory or proof. Mastering its contents brings a firm understanding of the basic methodology, competence in using existing simulation software, and the ability to develop some simpler, special purpose computer codes.
Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by : J. N. Reddy
Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.
Book Synopsis An Introduction to Fluid Mechanics and Heat Transfer by : J. M. Kay
Download or read book An Introduction to Fluid Mechanics and Heat Transfer written by J. M. Kay and published by Cambridge University Press. This book was released on 1975-01-09 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1975 as the third edition of a 1957 original, this book presents the fundamental ideas of fluid flow, viscosity, heat conduction, diffusion, the energy and momentum principles, and the method of dimensional analysis. These ideas are subsequently developed in terms of their important practical applications, such as flow in pipes and channels, pumps, compressors and heat exchangers. Later chapters deal with the equation of fluid motion, turbulence and the general equations of forced convection. The final section discusses special problems in process engineering, including compressible flow in pipes, solid particles in fluid flow, flow through packed beds, condensation and evaporation. This book will be of value to anyone with an interest the wider applications of fluid mechanics and heat transfer.
Book Synopsis Fundamentals of Heat Transfer by : Moghtada Mobedi
Download or read book Fundamentals of Heat Transfer written by Moghtada Mobedi and published by Springer Nature. This book was released on 2023-07-05 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the analytical solution of fundamental problems in heat transfer which covers conduction, convection, and radiation heat transfer. The analytical solution of heat transfer problems is described in a simple way which is easy to understand. This book also provides competence of solving fundamental heat transfer problems by analytical method which is particularly important to gain a strong background on heat transfer. The book is an interdisciplinary heat transfer book which is useful for all academicians and students from different disciplines with different levels of mathematical knowledge. The book can be used as a core or supplementary textbook in undergraduate and graduate bridge courses. Furthermore, it is suitable for professional and vocational coursework for technology and engineering professionals.
Book Synopsis Analytical and Numerical Solutions of Differential Equations Arising in Fluid Flow and Heat Transfer Problems by : Erik Sweet
Download or read book Analytical and Numerical Solutions of Differential Equations Arising in Fluid Flow and Heat Transfer Problems written by Erik Sweet and published by . This book was released on 2009 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solutions of nonlinear ordinary or partial differential equations are important in the study of fluid flow and heat transfer. In this thesis we apply the Homotopy Analysis Method (HAM) and obtain solutions for several fluid flow and heat transfer problems. In chapter 1, a brief introduction to the history of homotopies and embeddings, along with some examples, are given. The application of homotopies and an introduction to the solutions procedure of differential equations (used in the thesis) are provided. In the chapters that follow, we apply HAM to a variety of problems to highlight its use and versatility in solving a range of nonlinear problems arising in fluid flow. In chapter 2, a viscous fluid flow problem is considered to illustrate the application of HAM. In chapter 3, we explore the solution of a non-Newtonian fluid flow and provide a proof for the existence of solutions. In addition, chapter 3 sheds light on the versatility and the ease of the application of the Homotopy Analysis Method, and its capability in handling non-linearity (of rational powers). In chapter 4, we apply HAM to the case in which the fluid is flowing along stretching surfaces by taking into the effects of "slip" and suction or injection at the surface. In chapter 5 we apply HAM to a Magneto-hydrodynamic fluid (MHD) flow in two dimensions. Here we allow for the fluid to flow between two plates which are allowed to move together or apart. Also, by considering the effects of suction or injection at the surface, we investigate the effects of changes in the fluid density on the velocity field. Furthermore, the effect of the magnetic field is considered. Chapter 6 deals with MHD fluid flow over a sphere. This problem gave us the first opportunity to apply HAM to a coupled system of nonlinear differential equations. In chapter 7, we study the fluid flow between two infinite stretching disks. Here we solve a fourth order nonlinear ordinary differential equation. In chapter 8, we apply HAM to a nonlinear system of coupled partial differential equations known as the Drinfeld Sokolov equations and bring out the effects of the physical parameters on the traveling wave solutions. Finally, in chapter 9, we present prospects for future work.
Book Synopsis Modeling and Analysis of Modern Fluid Problems by : Liancun Zheng
Download or read book Modeling and Analysis of Modern Fluid Problems written by Liancun Zheng and published by Academic Press. This book was released on 2017-04-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems Includes novel developments in fractional order differential equations with fractal theory applied to fluids Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis
