{"product_id":"fluid-dynamics-anatoly-ruban-9780198869948","title":"Fluid Dynamics: Part 4: Hydrodynamic Stability Theory","description":"This is the fourth volume in a four-part series on fluid dynamics: \u003cp\u003e\u003c\/p\u003e Part 1. Classical Fluid Dynamics\u003cbr\u003e Part 2. Asymptotic Problems of Fluid Dynamics\u003cbr\u003e Part 3. Boundary Layers\u003cbr\u003e Part 4. Hydrodynamic Stability Theory \u003cp\u003e\u003c\/p\u003eThe series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. \u003cp\u003e\u003c\/p\u003e 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. \u003cp\u003e\u003c\/p\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 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-Gtler vortices. \u003cp\u003e\u003c\/p\u003e 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Anatoly Ruban, Jitesh Gajjar, Andrew Walton\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0198869940\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780198869948\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Oxford University Press, USA\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/03\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 368\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.94lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.92h x 6.93w x 0.97d","brand":"Anatoly Ruban","offers":[{"title":"Hardcover","offer_id":44255096111359,"sku":"9780198869948","price":90.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_48cf2ffb-5af1-4380-a7e7-e33da2bd674c.jpg?v=1694616080","url":"https:\/\/www.whiterainbookhouse.com\/products\/fluid-dynamics-anatoly-ruban-9780198869948","provider":"WR Book House","version":"1.0","type":"link"}