A Students Guide To The Navier Stokes Equations PDF Download
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Author | : Justin W. Garvin |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 9781009236164 |
Download A Student's Guide to the Navier-Stokes Equations Book in PDF, ePub and Kindle
The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.
Author | : Justin W. Garvin |
Publisher | : Cambridge University Press |
Total Pages | : 237 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 1009236156 |
Download A Student's Guide to the Navier-Stokes Equations Book in PDF, ePub and Kindle
A clear and focused guide to the Navier-Stokes equations that govern fluid motion, including exercises and fully worked solutions.
Author | : William Lowrie |
Publisher | : Cambridge University Press |
Total Pages | : 297 |
Release | : 2011-05-26 |
Genre | : Science |
ISBN | : 1139499246 |
Download A Student's Guide to Geophysical Equations Book in PDF, ePub and Kindle
The advent of accessible student computing packages has meant that geophysics students can now easily manipulate datasets and gain first-hand modeling experience - essential in developing an intuitive understanding of the physics of the Earth. Yet to gain a more in-depth understanding of physical theory, and to develop new models and solutions, it is necessary to be able to derive the relevant equations from first principles. This compact, handy book fills a gap left by most modern geophysics textbooks, which generally do not have space to derive all of the important formulae, showing the intermediate steps. This guide presents full derivations for the classical equations of gravitation, gravity, tides, earth rotation, heat, geomagnetism and foundational seismology, illustrated with simple schematic diagrams. It supports students through the successive steps and explains the logical sequence of a derivation - facilitating self-study and helping students to tackle homework exercises and prepare for exams.
Author | : Pierre Gilles Lemarie-Rieusset |
Publisher | : CRC Press |
Total Pages | : 732 |
Release | : 2016-04-06 |
Genre | : Mathematics |
ISBN | : 146656623X |
Download The Navier-Stokes Problem in the 21st Century Book in PDF, ePub and Kindle
Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics. The book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.
Author | : Don S. Lemons |
Publisher | : Cambridge University Press |
Total Pages | : 195 |
Release | : 2013-08-29 |
Genre | : Science |
ISBN | : 1107470048 |
Download A Student's Guide to Entropy Book in PDF, ePub and Kindle
Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy from desired properties, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Around 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.
Author | : John Francis James |
Publisher | : Cambridge University Press |
Total Pages | : 156 |
Release | : 2002-09-19 |
Genre | : Mathematics |
ISBN | : 9780521004282 |
Download A Student's Guide to Fourier Transforms Book in PDF, ePub and Kindle
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.
Author | : Richard E. Meyer |
Publisher | : Courier Corporation |
Total Pages | : 194 |
Release | : 2012-03-08 |
Genre | : Science |
ISBN | : 0486138941 |
Download Introduction to Mathematical Fluid Dynamics Book in PDF, ePub and Kindle
Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.
Author | : Peter Constantin |
Publisher | : University of Chicago Press |
Total Pages | : 200 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0226115496 |
Download Navier-Stokes Equations Book in PDF, ePub and Kindle
Lecture notes of graduate courses given by the authors at Indiana University (1985-86) and the University of Chicago (1986-87). Paper edition, $14.95. Annotation copyright Book News, Inc. Portland, Or.
Author | : Daniel Fleisch |
Publisher | : Cambridge University Press |
Total Pages | : 129 |
Release | : 2008-01-10 |
Genre | : Science |
ISBN | : 1139468472 |
Download A Student's Guide to Maxwell's Equations Book in PDF, ePub and Kindle
Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
Author | : Ian H. Hutchinson |
Publisher | : Cambridge University Press |
Total Pages | : 223 |
Release | : 2015-04-30 |
Genre | : Computers |
ISBN | : 1107095670 |
Download A Student's Guide to Numerical Methods Book in PDF, ePub and Kindle
The plain language style, worked examples and exercises in this book help students to understand the foundations of computational physics and engineering.