9780198869948 - fluid dynamics: part 4: hydrodynamic stability theory di ruban, prof anatoly; gajjar, prof jitesh; walton, dr andrew (9 risultati)
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Hardcover. Condizione: new. Hardcover. This is the fourth volume in a four-part series on fluid dynamics:Part 1. Classical Fluid DynamicsPart 2. Asymptotic Problems of Fluid DynamicsPart 3. Boundary LayersPart 4. Hydrodynamic Stability TheoryThe series is designed to give a comprehensive and coherent description of fluid dynamic…s, starting with chapters on classical theory suitable for an introductoryundergraduate 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 stabilitytheory 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 arediscussed 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-Goertler vortices.However, in this presentation our main attention regards recent developments in the theory. These include linear and nonlinear critical layer theory, the theory ofreceptivity 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-sustainingnonlinear perturbations within a viscous fluid. This is Part 4 of a book series on fluid dynamics which is devoted to hydrodynamic stability theory. This theory aims at predicting the conditions under which a flow which is smooth and regular (a so-called laminar flow) undergoes a transition to a more complicated and apparently erratic state known as turbulence. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Hardcover. Condizione: Brand New. 384 pages. 9.84x6.93x0.94 inches. In Stock.
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