Detailansicht
Physics of Transitional Shear Layers
Instability and Laminar-Turbulent Transition in Incompressible Near-Wall and and Free Boundary Layers - Fluid Mechanics and Its Applications 98, Fluid Mechanics and Its Applications 98
Boiko, Andrey V/Dovgal, Alexander V/Grek, Genrih R et al
ISBN/EAN: 9789400724976
Umbreit-Nr.: 1614258
Sprache:
Englisch
Umfang: xxviii, 272 S.
Format in cm:
Einband:
gebundenes Buch
Erschienen am 15.09.2011
Auflage: 1/2011
- Zusatztext
- InhaltsangabePart I Fundamentals of the linear stability theory: 1 Concept of hydrodynamic stability.- 1.1 Hydrodynamic stability.- 1.2 Stability of fluid motion in time.- 1.2.1 Critical parameters for onset of instability.- 1.2.2 Conditional stability.- 1.2.3 Growth of disturbance energy.- References.- Further Reading.- 2 Theoretical aspects: 2.1 Formulation of linear hydrodynamic stability problems.- 2.1.1 Spectral formulation of stability.- 2.1.2 Inviscid instability mechanism.- 2.1.3 Viscous instability mechanism.- 2.2 Instability in space.- 2.3 Gaster's transformation.- 2.4 Squire theorem.- 2.5 Adjoint problem and bi-orthogonality of normal modes.- 2.6 Completeness of solutions for the Orr-Sommerfeld and Squire equations.- References.- Further Reading.- Part II Generic problems: 3 Instability of plane parallel flows: 3.1 Plane Couette flow.- 3.2 Plane Poiseuille flow.- 3.2.1 Numerical results.- 3.2.2 Experimental linear stability investigations.- 3.3 Method of linear stability calculations.- Exercises.- References.- Further Reading.- 4 Instability of the flat-plate boundary layer: 4.1 Historical notes.- 4.2 Solution of the Orr-Sommerfeld equation for the boundary layers.- 4.3 Nonparallel flow effects.- 4.3.1 Outline of theoretical approaches to account for nonparallel effects.- 4.3.2 Modern view on the place and role of nonparallel effects in the Blasius boundary layer.- Exercises.- References.- Further Reading.- 5 Instabilities of plane flows over curvilinear surfaces: 5.1 Influence of curvature on the basic flow.- 5.1.1 Equations of motion in cylindrical coordinates.- 5.1.2 Description of the flow in boundary layers over curvilinear surfaces.- 5.2 Hydrodynamic instability at curvilinear surfaces.- 5.2.1 Taylor problem.- 5.2.2 Dean problem.- 5.2.3 G¨ortler problem.- Exercises.- References.- Further Reading.- 6 Some other basic factors of shear-layer stability: 6.1 Axial flow symmetry.- 6.2 Two-dimensional geometry.- 6.3 Transverse flow periodicity.- 6.4 Pressure gradients.- 6.4.1 Streamwise pressure gradient.- 6.4.2 Transverse pressure gradient.- 6.5 Heat transfer.- 6.6 Fluid suction.- 6.7 Compliant boundaries.- 6.8 Dusty flow.- Exercises.- References.- Further Reading.- 7 Instability of separated boundary layers.- 7.1 Basic features of separated flow instability.- 7.2 Linear instability at flow separation in plane configurations.- 7.2.1 Waveform.- 7.2.2 Growth rates.- 7.2.3 Propagation velocities.- 7.3 Instability of axisymmetric separation bubbles.- 7.4 Flow instability at separation of a swept-wing boundary layer.- 7.5 Outline of approaches for linear stability calculations in separation regions.- Exercises.- References.- Further Reading.- Part III Special topics on linear stability.- 8 Linear wave packets of instability waves.- 8.1 Classification of wave packets.- 8.2 Group velocity.- 8.3 Experimental investigations of wave packets.- Exercises.- References.- Further Reading.- 9 Transient disturbances in shear flows.- 9.1 Lift-up effect.- 9.2 Growth of optimal disturbances.- 9.3 Experimental studies.- Exercises.- References.- Further Reading.- 10 Excitation of shear flow disturbances.- 10.1 Receptivity problem.- 10.2 Localized and distributed generation of laminar flow disturbances.- 10.3 Methodology of receptivity studies.- 10.3.1 Theoretical approaches.- 10.3.2 Experimental strategy.- 10.4 Receptivity of two-dimensional boundary layers.- 10.4.1 Leading-edge receptivity.- 10.4.2 Excitation of instability waves at local boundary-layer nonuniformities.- 10.4.3 Receptivity to localized unsteady disturbances.- 10.4.4 Excitation of instability waves at laminar boundary-layer separation.- 10.5 Receptivity of a swept-wing boundary layer.- 10.6 Excitation of the G¨ortler vortices.- 10.7 Excitation of streaky structures.- 10.7.1 Localized generation of streaks.- 10.7.2 Distributed generation of streaks.- References.- Further Reading.-
- Kurztext
- InhaltsangabePart I Fundamentals of the linear stability theory: 1 Concept of hydrodynamic stability.- 1.1 Hydrodynamic stability.- 1.2 Stability of fluid motion in time.- 1.2.1 Critical parameters for onset of instability.- 1.2.2 Conditional stability.- 1.2.3 Growth of disturbance energy.- References.- Further Reading.- 2 Theoretical aspects: 2.1 Formulation of linear hydrodynamic stability problems.- 2.1.1 Spectral formulation of stability.- 2.1.2 Inviscid instability mechanism.- 2.1.3 Viscous instability mechanism.- 2.2 Instability in space.- 2.3 Gaster's transformation.- 2.4 Squire theorem.- 2.5 Adjoint problem and bi-orthogonality of normal modes.- 2.6 Completeness of solutions for the Orr-Sommerfeld and Squire equations.- References.- Further Reading.- Part II Generic problems: 3 Instability of plane parallel flows: 3.1 Plane Couette flow.- 3.2 Plane Poiseuille flow.- 3.2.1 Numerical results.- 3.2.2 Experimental linear stability investigations.- 3.3 Method of linear stability calculations.- Exercises.- References.- Further Reading.- 4 Instability of the flat-plate boundary layer: 4.1 Historical notes.- 4.2 Solution of the Orr-Sommerfeld equation for the boundary layers.- 4.3 Nonparallel flow effects.- 4.3.1 Outline of theoretical approaches to account for nonparallel effects.- 4.3.2 Modern view on the place and role of nonparallel effects in the Blasius boundary layer.- Exercises.- References.- Further Reading.- 5 Instabilities of plane flows over curvilinear surfaces: 5.1 Influence of curvature on the basic flow.- 5.1.1 Equations of motion in cylindrical coordinates.- 5.1.2 Description of the flow in boundary layers over curvilinear surfaces.- 5.2 Hydrodynamic instability at curvilinear surfaces.- 5.2.1 Taylor problem.- 5.2.2 Dean problem.- 5.2.3 G¨ortler problem.- Exercises.- References.- Further Reading.- 6 Some other basic factors of shear-layer stability: 6.1 Axial flow symmetry.- 6.2 Two-dimensional geometry.- 6.3 Transverse flow periodicity.- 6.4 Pressure gradients.- 6.4.1 Streamwise pressure gradient.- 6.4.2 Transverse pressure gradient.- 6.5 Heat transfer.- 6.6 Fluid suction.- 6.7 Compliant boundaries.- 6.8 Dusty flow.- Exercises.- References.- Further Reading.- 7 Instability of separated boundary layers.- 7.1 Basic features of separated flow instability.- 7.2 Linear instability at flow separation in plane configurations.- 7.2.1 Waveform.- 7.2.2 Growth rates.- 7.2.3 Propagation velocities.- 7.3 Instability of axisymmetric separation bubbles.- 7.4 Flow instability at separation of a swept-wing boundary layer.- 7.5 Outline of approaches for linear stability calculations in separation regions.- Exercises.- References.- Further Reading.- Part III Special topics on linear stability.- 8 Linear wave packets of instability waves.- 8.1 Classification of wave packets.- 8.2 Group velocity.- 8.3 Experimental investigations of wave packets.- Exercises.- References.- Further Reading.- 9 Transient disturbances in shear flows.- 9.1 Lift-up effect.- 9.2 Growth of optimal disturbances.- 9.3 Experimental studies.- Exercises.- References.- Further Reading.- 10 Excitation of shear flow disturbances.- 10.1 Receptivity problem.- 10.2 Localized and distributed generation of laminar flow disturbances.- 10.3 Methodology of receptivity studies.- 10.3.1 Theoretical approaches.- 10.3.2 Experimental strategy.- 10.4 Receptivity of two-dimensional boundary layers.- 10.4.1 Leading-edge receptivity.- 10.4.2 Excitation of instability waves at local boundary-layer nonuniformities.- 10.4.3 Receptivity to localized unsteady disturbances.- 10.4.4 Excitation of instability waves at laminar boundary-layer separation.- 10.5 Receptivity of a swept-wing boundary layer.- 10.6 Excitation of the G¨ortler vortices.- 10.7 Excitation of streaky structures.- 10.7.1 Localized generation of streaks.- 10.7.2 Distributed generation of streaks.- References.- Further Reading.- 11