Walton Dr Andrew (Imperial College London)
Walton Dr Andrew (Imperial College London) - Fluid Dynamics Part 4: Hydrodynamic Stability Theory - Hardcover
Walton Dr Andrew (Imperial College London) - Fluid Dynamics Part 4: Hydrodynamic Stability Theory - Hardcover
Books
Regular price
$104.26 USD
Regular price
Sale price
$104.26 USD
Unit price
per
Shipping calculated at checkout.
Couldn't load pickup availability
Binding: Hardcover
Description: This 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 Theory The 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. 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 - G rtler 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.
Title: Fluid Dynamics Part 4: Hydrodynamic Stability Theory
Author(s): Walton Dr Andrew (Imperial College London)
Publisher: Oxford University Press
Barcode: 9780198869948
Pages: 368 Pages, 101 Line Figures
Publication Date: 10/3/2023
Category: Mathematical Physics
Description: This 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 Theory The 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. 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 - G rtler 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.
Title: Fluid Dynamics Part 4: Hydrodynamic Stability Theory
Author(s): Walton Dr Andrew (Imperial College London)
Publisher: Oxford University Press
Barcode: 9780198869948
Pages: 368 Pages, 101 Line Figures
Publication Date: 10/3/2023
Category: Mathematical Physics
