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Fluid Mechanics

An Introduction to the Theory of Fluid Flows

  • Textbook
  • © 2022

Overview

  • Provides an authoritative introduction into fluid mechanics with a solid focus on physical concepts and mathematics
  • This new editon covers current topics in turbulent flow, flow with high Reynolds numbers and stream tube theory
  • Treats Navier-Stokes equations as entry to hydro- and aerostatics and of engineering flow problems

Part of the book series: Graduate Texts in Physics (GTP)

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Table of contents (22 chapters)

Keywords

About this book

This book provides the fundamental knowledge allowing students in engineering and natural sciences to enter fluid mechanics and its applications in various fields where fluid flows need to be dealt with. Analytical treatments of flows are provided based on the “Conventional Navier-Stokes-Equations” (CNSE). The physics and mathematics of fundamental flow problems are explained in such detail that the reader receives a good introduction into the subject. Numerical methods and experimental techniques, applied in fluid mechanics, are also introduced.

This second edition of the book stresses that the CNSE are incomplete. They are missing molecular transport terms. These terms are derived in the book to yield the “Extended Navier-Stokes-Equations”. These equations allow flows with strong fluid property gradients to be treated correctly, while the CNSE do not allow this.

The main benefit the reader will derive from the book is a sound introduction into various aspects of fluid mechanics.

Reviews

From the reviews:

"Durst … cover in a modest volume a wide spectrum of topics including incompressible and compressible flows, gas dynamics, heat transfer, numerical solutions, flows of small and large Reynolds numbers, turbulence, and fluid-flow measurements. … the volume will be valuable for graduate students pursuing fluid mechanics research. It provides thorough analytical coverage of a wide range of fluid mechanics topics and offers brief introductions to numerical and experimental topics. Summing Up: Highly recommended. Upper-division undergraduate through professional collections." (R. N. Laoulache, Choice, Vol. 46 (9), May, 2009)

Authors and Affiliations

  • FMP Technology GmbH, Erlangen, Germany

    Franz Durst

About the author

Prof. Franz Durst studied Aeronautical Engineering at the Technical University of Stuttgart (from 1961 – 1967). He continued his university education at Imperial College of the University of London and completed his M.Sc.-degree in 1968 and his Ph.D.-degree in 1972.During his time at Imperial College in London he was involved in research and development work in fluid mechanics measuring techniques, like Hot-Wire- and Laser-Doppler-Anemometry. He continued this development work after joining a Special Research Centre at the Technical University of Karlsruhe in 1972. There the Phase-Doppler-Anemometry was developed for particulate two-phase flows with application to dispersion flows and sprays. He stayed at the centre in Karlsruhe for 10 years, carrying out research in laminar & turbulent fluid flows. Polymer flows, thin film flows and applications in wet-film coating, wind tunnel research and water treatments were part of his research in this time.
In 1982 Prof. Durst took over the directorship of the “Institute of Fluid Mechanics at the Friedrich Alexander University of Erlangen-Nuremberg”. He built it up to a nationally and internationally highly recognized research institute in fluid mechanics.
One field of fluid mechanics was of particular interest to Prof. Durst relating to the validity of the basic equations of fluid mechanics, the continuity and the Navier-Stokes equations. He found out that, in their conventional from, these equations do not allow micro-channel and micro-capillary flows to be correctly predicted. The same is the case for shock wave flows and all other flows with strong density, pressure and temperature gradients. He derived the extended form of the basic equation of fluid mechanics and, with the help of some Ph.D.-students, he showed that these equations permit flows with strong gradients of fluid properties to be correctly predicted. The 2nd edition of his Fluid Mechanics textbook contains a complete chapter dealing with this new field of fluid mechanics.

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