{"product_id":"fluid-dynamics-part-4","title":"Fluid Dynamics Part 4","description":"\u003cp\u003eThis is the fourth volume in a four-part series on fluid dynamics:      Part 1. Classical Fluid Dynamics      Part 2. Asymptotic Problems of Fluid Dynamics      Part 3. Boundary Layers      Part 4. Hydrodynamic Stability TheoryThe series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory\n\u003cbr\u003eundergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.      Part 4 is devoted to hydrodynamic stability\n\u003cbr\u003etheory 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.\n\u003cbr\u003e      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\n\u003cbr\u003ediscussed 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\n\u003cbr\u003ereceptivity 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\n\u003cbr\u003enonlinear perturbations within a viscous fluid.\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":46058965795054,"sku":"9780198869948","price":126.55,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780198869948.jpg?v=1736487388","url":"https:\/\/bookland.com.au\/products\/fluid-dynamics-part-4","provider":"Book Land AU","version":"1.0","type":"link"}