Vorticity and Vortex Dynamics 2011 Part 16 potx

... ∼, 504–506 vortex collapse, 424 vortex core, 387–395, 485, 490, 496, 672, 673, 680 ∼ dynamics, 395–399, 559–561 vortex dipole, 289–291, 303–306 vortex dynamics, 1, 3–8, 56, 67, 94, 173, 451–698 vortex ... (Continued) normal vorticity continuity, 31 surface-force continuity, 30, 146 boundary enstrophy flux, 144, 147, 148, 153, 166 , 171 boundary layer, 3–7, 161 –172, 218, 651, 6...

Ngày tải lên: 11/08/2014, 18:20

... . . . . . . 477 Part I Vorticity Dynamics Preface The importance of vorticity and vortex dynamics has now been well recog- nized at both fundamental and applied levels of fluid dynamics, as already anticipated ... vorticity and vortex dynamics. 2 The aim of this book is to present systematically the physical theory of vorticity and vortex dynamics. In this intro...

Ngày tải lên: 11/08/2014, 17:22

... cast to the vorticity form, very important in vorticity and vortex dynamics: Du Dt = ∂u ∂t + ω × u + ∇  1 2 q 2  ,q≡|u|. (2 .162 ) Therefore, the advective acceleration consists of two parts. One ... fluid motion, and becomes a flexible extension of the bodies whose movement generates the flow; bring the walls to rest and the fluid stops immediately.” Summary 1. The vorticity a...

Ngày tải lên: 11/08/2014, 17:22

... the entire incompressible fluid dynamics falls into vorticity and vortex dynamics (complemented by the potential-flow theory of Sect. 2.4.4). 3.4.1 Vortical Impulse and Angular Impulse It has long ... 4.1. 3.5.1 Vorticity Evolution in Physical and Reference Spaces The time-evolution of vorticity in physical space comes from the curl of the vorticity form of the material acce...

Ngày tải lên: 11/08/2014, 17:22

... with the kinematic prob- lem, say (4 .162 ) and (4 .163 ) with ϑ = 0. In (4 .168 b) and (4 .169 b) the accel- eration no-through and no-slip conditions, (2.70a) and (2.70b), are imposed respectively. ... (4 .166 ) Then symbolically the (u,p) formulation reads L(u)=−∇p, ∇·u =0. (4 .167 a,b) Similar to casting problem (4.157) and (4.159) to problem (4 .162 ) and (4 .163 ), we take t...

Ngày tải lên: 11/08/2014, 17:22

... + B r , (6.20) where A and B are arbitrary constants. For a flow between two rotating coaxial circular cylinders with inner and outer radii R 1 and R 2 and angular velocity Ω 1 and Ω 2 , respectively, ... all vorticity lines being along the axis and all streamlines are closed circles centered at the z-axis. Then, if w is nonzero and r-dependent, ω θ will appear too such that th...

Ngày tải lên: 11/08/2014, 17:22

... aspect of vorticity and vortex dynamics, and so far one’s understanding of the flow has largely been based on experimental observations even for the simplest body geometries. On the other hand, in wake-flow ... Re cr1 . The vorticity generated at the cylinder surface by a strong adverse pressure gradient (characterized 8 Core Structure, Vortex Filament, and Vortex System 8.1 V...

Ngày tải lên: 11/08/2014, 17:22

... efforts have naturally in turn enriched the content of vorticity and vortex dynamics (e.g., Melander and Hussain 1993a and 1994, Pradeep and Hussain 2000; Hussain 2002). We expect that the present ... Reynolds decomposition. A combination of triple decomposition and vortex dynamics has shed light on building up statistical vortex dynamics and may be a more powerful wa...

Ngày tải lên: 11/08/2014, 18:20

... which brings in many unique and attractive topics to the vorticity dynamics and vortex motion in rotating fluid dynamics. In particular, the conservation of the potential vorticity is so fundamental that ... the rest part of force and moment caused by attached vortex sheet with nonzero circulation and free vortex sheet in the wake, denoted by suffix γ. We consider a thing...

Ngày tải lên: 11/08/2014, 18:20

... of Vorticity and Vortices 685 and the other part is induced by distortions in the vortex shape (12.103b), due to the radial advection of contours relative to the vortex center by the first part. Once ˆ φ j and ... (12.104b) Remarkably, owing to the vortex- patch approximation, the (q,φ)partis independent of the vortex distortion η j but simply advected by the plane- tary vo...

Ngày tải lên: 11/08/2014, 18:20