An introduction to the mechanics of incompressible fluids / Michel O. Deville.
2022
QA901
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Details
Title
An introduction to the mechanics of incompressible fluids / Michel O. Deville.
ISBN
9783031046834 (electronic bk.)
3031046838 (electronic bk.)
9783031046827
3031046838 (electronic bk.)
9783031046827
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (xix, 325 pages) : illustrations (some color).
Item Number
10.1007/978-3-031-04683-4 doi
Call Number
QA901
Dewey Decimal Classification
620.1/06
Summary
This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Open access.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 14, 2022).
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Table of Contents
Incompressible Newtonian Fluid Mechanics
Dimensional Analysis
Exact Solutions of the Navier-Stokes Equations
Vorticity and Vortex Kinematics
Stokes Flow
Plane Irrotational Flows of Perfect Fluid
Boundary Layer
Instability
Turbulence
Solutions of the Exercices
Index.
Dimensional Analysis
Exact Solutions of the Navier-Stokes Equations
Vorticity and Vortex Kinematics
Stokes Flow
Plane Irrotational Flows of Perfect Fluid
Boundary Layer
Instability
Turbulence
Solutions of the Exercices
Index.