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An Introduction to the Mechanics of Incompressible Fluids (Hardcover, 1st ed. 2022)
Loot Price: R1,288
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An Introduction to the Mechanics of Incompressible Fluids (Hardcover, 1st ed. 2022)
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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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