EAN: 9783031046858

AN INTRODUCTION TO THE MECHANICS OF INCOMPRESSI...

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.

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