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An Introduction to the Mechanics of Incompressible Fluids / by Michel O. Deville.

DOAB Directory of Open Access Books Available online

DOAB Directory of Open Access Books

OAPEN Available online

OAPEN

Springer eBooks EBA - Engineering Collection 2022 Available online

Springer eBooks EBA - Engineering Collection 2022

SpringerLink Open Access eBooks Available online

SpringerLink Open Access eBooks
Format:
Book
Author/Creator:
Deville, Michel O., Author.
Language:
English
Subjects (All):
Mechanics, Applied.
Fluid mechanics.
Engineering Mechanics.
Engineering Fluid Dynamics.
Local Subjects:
Engineering Mechanics.
Engineering Fluid Dynamics.
Physical Description:
1 online resource (XIX, 325 p. 108 illus., 15 illus. in color.)
Edition:
1st ed. 2022.
Place of Publication:
Cham Springer Nature 2022
Cham : Springer International Publishing : Imprint: Springer, 2022.
Language Note:
English
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.
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.
ISBN:
3-031-04683-8
OCLC:
1344377236
Access Restriction:
Open access Unrestricted online access

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