(EBOOK PDF)Fluid Dynamics Part 4 Hydrodynamic Stability Theory 1st edition by Prof Anatoly Ruban 0198869940 9780198869948 full chapters

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Product details:

• ISBN 10:0198869940 

• ISBN 13:9780198869948

• Author:Prof Anatoly Ruban  

Part 4 is devoted to hydrodynamic stability theory which aims at predicting the conditions under which the laminar state of a flow turns into a turbulent state. The phenomenon of laminar-turbulent transition remains one of the main challenges of modern physics. The resolution of this problem is important not only from a theoretical viewpoint but also for practical applications. For instance, in the flow past a passenger aircraft wing, the laminar-turbulent transition causes a fivefold increase in the viscous drag.

The book starts with the classical results of the theory which include the global stability analysis followed by the derivation of the Orr-Sommerfeld equation. The properties of this equation are discussed using, as examples, plane Poiseuille flow and the Blasius boundary layer. In addition, we discuss ‘inviscid flow’ instability governed by the Rayleigh equation, Kelvin-Helmholtz instability, crossflow instability, and centrifugal instability, taking the form of Taylor-Görtler vortices.

However, in this presentation our main attention regards recent developments in the theory. These include linear and nonlinear critical layer theory, the theory of receptivity of the boundary layer to external perturbations, weakly nonlinear stability theory of Landau and Stuart, and vortex-wave interaction theory. The latter allows us to describe self-sustaining nonlinear perturbations within a viscous fluid.

Fluid Dynamics Part 4 Hydrodynamic Stability Theory 1st  Table of contents:

 1. Classical Hydrodynamic Stability Theory
2. High-Reynolds-Number Analysis of Parallel and Shear Flow Instabilities
3. Boundary-Layer Receptivity
4. Weakly Nonlinear Stability Theory
5. Coherent Structures and Self-Sustaining Processes in Shear Flo

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Fluid Dynamics,Hydrodynamic Stability,Prof Anatoly Ruban