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An introduction to the mechanics of incompressible fluids

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to the mechanics of incompressible fluidsby Michel O. Deville.
Author:	Deville, M. O.
Published:	Cham :Springer International Publishing :2022.
Description:	xix, 325 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fluid mechanicsMathematics.
Online resource:	https://doi.org/10.1007/978-3-031-04683-4
ISBN:	9783031046834$q(electronic bk.)

An introduction to the mechanics of incompressible fluids
Deville, M. O.

An introduction to the mechanics of incompressible fluids[electronic resource] /by Michel O. Deville. - Cham :Springer International Publishing :2022. - xix, 325 p. :ill. (some col.), digital ;24 cm.

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.

Open Access

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.

ISBN: 9783031046834$q(electronic bk.)

Standard No.: 10.1007/978-3-031-04683-4doiSubjects--Topical Terms:

278159
Fluid mechanics
--Mathematics.

LC Class. No.: QA901 / .D48 2022

Dewey Class. No.: 620.106

An introduction to the mechanics of incompressible fluids
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505 0 $a 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.
506 0 $a Open Access
520 $a 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.
650 0 $a Fluid mechanics $x Mathematics. $3 278159
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