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Author: P. Venkataraman Publisher: Panchapakesan Venkataraman ISBN: 0988881136 Category : Biography & Autobiography Languages : en Pages : 744
Book Description
This book covers the requisite theory for the basic study of fluid mechanics at low speeds. This book is unique in that it integrates engineering computation using the popular technical software MATLAB, and the free counterpart Octave. Programming is by example throughout the book. Prior knowledge of programming is not necessary. This book reviews prerequisite topics prior to teaching the subject matter. This book introduces the physics of fluid mechanics based on first principles. It develops the mathematical relations and model of fluid flow so that problems can be defined and solved. The translation of natural laws into mathematical models includes two approaches. The integral approach is simple though limited. This approach uses assumptions and simplifications that makes it easy to apply and acquire a solution; however, that solutionwill lack detail and merely provide average or overall values. Thus, the integral approach is inadequate for understanding or designing complex fluid systems. On the other hand, it may provide an approximate value with limited effort. It may be able to establish bounds around the true value. The differential approach is complex but expansive. The solution is established at every point in the flow domain, making it possible to include specific local effects and special properties of the flow. The topics in this book are illustrated with examples, with most solved by computation. The premise of this book is that science and mathematical concepts are best understood through graphics; therefore, software illustrates solutions through graphical programming. Students are taught and encouraged to explore solutions through graphics. Essential Fluids With MATLAB and Octave - Part 2 (Applications) will include design and applications based on simple parameterized models that rely mostly on algebra. These are input/output models which are infused with parameters based on empirical data that are read off charts or interpolated from tables.
Author: P. Venkataraman Publisher: Panchapakesan Venkataraman ISBN: 0988881136 Category : Biography & Autobiography Languages : en Pages : 744
Book Description
This book covers the requisite theory for the basic study of fluid mechanics at low speeds. This book is unique in that it integrates engineering computation using the popular technical software MATLAB, and the free counterpart Octave. Programming is by example throughout the book. Prior knowledge of programming is not necessary. This book reviews prerequisite topics prior to teaching the subject matter. This book introduces the physics of fluid mechanics based on first principles. It develops the mathematical relations and model of fluid flow so that problems can be defined and solved. The translation of natural laws into mathematical models includes two approaches. The integral approach is simple though limited. This approach uses assumptions and simplifications that makes it easy to apply and acquire a solution; however, that solutionwill lack detail and merely provide average or overall values. Thus, the integral approach is inadequate for understanding or designing complex fluid systems. On the other hand, it may provide an approximate value with limited effort. It may be able to establish bounds around the true value. The differential approach is complex but expansive. The solution is established at every point in the flow domain, making it possible to include specific local effects and special properties of the flow. The topics in this book are illustrated with examples, with most solved by computation. The premise of this book is that science and mathematical concepts are best understood through graphics; therefore, software illustrates solutions through graphical programming. Students are taught and encouraged to explore solutions through graphics. Essential Fluids With MATLAB and Octave - Part 2 (Applications) will include design and applications based on simple parameterized models that rely mostly on algebra. These are input/output models which are infused with parameters based on empirical data that are read off charts or interpolated from tables.
Author: P. Venkataraman Publisher: Panchapakesan Venkataraman ISBN: Category : Science Languages : en Pages : 867
Book Description
Essential Mechanics - Statics and Strength of Materials with MATLAB and Octave combines two core engineering science courses - “Statics” and “Strength of Materials” - in mechanical, civil, and aerospace engineering. It weaves together various essential topics from Statics and Strength of Materials to allow discussing structural design from the very beginning. The traditional content of these courses are reordered to make it convenient to cover rigid body equilibrium and extend it to deformable body mechanics.The e-book covers the most useful topics from both courses with computational support through MATLAB/Octave. The traditional approach for engineering content is emphasized and is rigorously supported through graphics and analysis. Prior knowledge of MATLAB is not necessary. Instructions for its use in context is provided and explained. It takes advantage of the numerical, symbolic, and graphical capability of MATLAB for effective problem solving. This computational ability provides a natural procedure for What if? exploration that is important for design. The book also emphasizes graphics to understand, learn, and explore design. The idea for this book, the organization, and the flow of content is original and new. The integration of computation, and the marriage of analytical and computational skills is a new valuable experience provided by this e-book. Most importantly the book is very interactive with respect to the code as it appears along with the analysis.
Author: G. D. McBain Publisher: John Wiley & Sons ISBN: 1118346289 Category : Technology & Engineering Languages : en Pages : 357
Book Description
Starting from a basic knowledge of mathematics and mechanics gained in standard foundation classes, Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave takes the reader conceptually through from the fundamental mechanics of lift to the stage of actually being able to make practical calculations and predictions of the coefficient of lift for realistic wing profile and planform geometries. The classical framework and methods of aerodynamics are covered in detail and the reader is shown how they may be used to develop simple yet powerful MATLAB or Octave programs that accurately predict and visualise the dynamics of real wing shapes, using lumped vortex, panel, and vortex lattice methods. This book contains all the mathematical development and formulae required in standard incompressible aerodynamics as well as dozens of small but complete working programs which can be put to use immediately using either the popular MATLAB or free Octave computional modelling packages. Key features: Synthesizes the classical foundations of aerodynamics with hands-on computation, emphasizing interactivity and visualization. Includes complete source code for all programs, all listings having been tested for compatibility with both MATLAB and Octave. Companion website (www.wiley.com/go/mcbain) hosting codes and solutions. Theory of Lift: Introductory Computational Aerodynamics in MATLAB/Octave is an introductory text for graduate and senior undergraduate students on aeronautical and aerospace engineering courses and also forms a valuable reference for engineers and designers.
Author: Knut-Andreas Lie Publisher: Cambridge University Press ISBN: 1108492436 Category : Business & Economics Languages : en Pages : 677
Book Description
Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.
Author: Anthony Pickett Publisher: Anthony Pickett ISBN: Category : Technology & Engineering Languages : en Pages : 366
Book Description
This book combines essential finite element (FE) theory with a set of fourteen tutorials using relatively easy-to-use open source CAD, FE and other numerical analysis codes so a student can undertake practical analysis and self-study. The theory covers fundamentals of the finite element method. Formulation of element stiffness for one dimensional bar and beam, two dimensional and three dimensional continuum elements, plate and shell elements are derived based on energy and variational methods. Linear, nonlinear and transient dynamic solution methods are covered for both mechanical and field analysis problems with a focus on heat transfer. Other important theoretical topics covered include element integration, element assembly, loads, boundary conditions, contact and a chapter devoted to material laws on elasticity, hyperelasticity and plasticity. A brief introduction to Computational Fluid Dynamics (CFD) is also included. The second half of this book presents a chapter on using tutorials containing information on code installation (on Windows) and getting started, and general hints on meshing, modelling and analysis. This is then followed by tutorials and exercises that cover linear, nonlinear and dynamic mechanical analysis, steady state and transient heat analysis, field analysis, fatigue, buckling and frequency analysis, a hydraulic pipe network analysis, and lastly two tutorials on CFD simulation. In each case theory is linked with application and exercises are included for further self-study. For these tutorials open source codes FreeCAD, CalculiX, FreeMAT and OpenFOAM are used. CalculiX is a comprehensive FE package covering linear, nonlinear and transient analysis. One particular benefit is that its format and structure is based on Abaqus, so knowledge gained is relevant to a leading commercial code. FreeCAD is primarily a powerful CAD modelling code, that includes good finite element meshing and modelling capabilities and is fully integrated with CalculiX. FreeMAT is used in three tutorials for numerical analysis demonstrating algorithms for explicit finite element and CFD analysis. And OpenFOAM is used for other CFD flow simulations. The primary aim of this book is to provide a unified text covering theory and practice, so a student can learn and experiment with these versatile and powerful analysis methods. It should be of value to both finite element courses and for student self-study.
Author: Svein Linge Publisher: Springer ISBN: 3319324527 Category : Computers Languages : en Pages : 228
Book Description
This book presents computer programming as a key method for solving mathematical problems. There are two versions of the book, one for MATLAB and one for Python. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows the students to write simple programs for solving common mathematical problems with numerical methods in engineering and science courses. The emphasis is on generic algorithms, clean design of programs, use of functions, and automatic tests for verification.
Author: William Ford Publisher: Academic Press ISBN: 0123947847 Category : Mathematics Languages : en Pages : 629
Book Description
Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. - Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra - Detailed explanations and examples - A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra - Examples from engineering and science applications
Author: David Stapleton Publisher: Elsevier ISBN: 0443222886 Category : Mathematics Languages : en Pages : 882
Book Description
Advanced Calculus for Mathematical Modeling in Engineering and Physics introduces the principles and methods of advanced calculus for mathematical modeling, through a balance of theory and application using a state space approach with elementary functional analysis. This framework facilitates a deeper understanding of the nature of mathematical models and of the behavior of their solutions. The work provides a variety of advanced calculus models for mathematical, physical science, and engineering audiences, with discussion of how calculus-based models and their discrete analogies are generated. This valuable textbook offers scientific computations driven by Octave/MATLAB script, in recognition of the rising importance of associated numerical models. - Adopts a state space/functional analysis approach to advanced calculus-based models to provide a better understanding of the development of models and the behaviors of their solutions - Uniquely includes discrete analogies to calculus-based models, as well as the derivation of many advanced calculus models of physics and engineering– instead of only seeking solutions to the models - Offers online teaching support for qualified instructors (for selected solutions) and study materials for students (MATLAB/Octave scripts)
Author: Jason Lachniet Publisher: Lulu.com ISBN: 0359329640 Category : Education Languages : en Pages : 156
Book Description
A brief introduction to scientific computing with GNU Octave. Designed as a textbook supplement for freshman and sophomore level linear algebra and calculus students.
Author: P. Venkataraman
Author: P. Venkataraman
Author: P. Venkataraman
Author: G. D. McBain
Author: Knut-Andreas Lie
Author: Anthony Pickett
Author: Svein Linge
Author: William Ford
Author: David Stapleton
Author: Jason Lachniet
Author: Lester W. Schmerr