Vorticity and Vortex Dynamics 2011 Part 8 pptx

... while f(η)=e −η [ln η +ei(η) −0 .80 7] + 2ei(η) −2ei(2η). For sufficiently large z, the leading terms of (8. 32) is W − w ∼ Γ 2 8 z ln  Wz ν  e −η . (8. 33) The solutions (8. 30), (8. 31a), and (8. 32) have been independent ... (7.55), (7.57), and (7. 58) are all necessary input. A major difficulty is that once the vortex sheet rolls into a vortex with distributed vorticity and sp...

Ngày tải lên: 11/08/2014, 17:22

... of potential impulse and angular impulse I φ and L φ given by (2.179) and (2. 180 ), we see that the total momentum and angular momentum in V with ρ = 1 are reduced to I + I φ and L + L φ , respectively. As ... 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...

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... . . . . 381 8 Core Structure, Vortex Filament, and Vortex System 383 8. 1 Vortex Formation and Core Structure . . . . . . . . . . . . . . . . . . . . . . 383 8. 1.1 Vortex Formation by Vortex- Layer ... . . . . . . 477 Part I Vorticity Dynamics Preface The importance of vorticity and vortex dynamics has now been well recog- nized at both fundamental and applie...

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... feature of φ we cannot derive (2. 183 ) and (2. 184 ), and hence neither (2. 187 ); but (2. 189 ) is not affected. In this case the D’Alembert paradox can be said for drag only, and a finite lateral force perpendicular ... fully describe the velocity and vorticity, see (3.55)–(3. 58) . Denote the single nonzero vorticity component in both (3.56) and (3. 58) by ω, for two-dimensiona...

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... we may 1 58 4 Vorticity Dynamics It is conceptually useful to divide the vorticity field created by a moving body into two parts. One part is dragged along by or attaches to the body, and the other ... spiral becomes a concentrated vortex with disturbuted vorticity in its core (Chap. 6 8) . 4.4.1 Basic Properties We start from the basic jump conditions (2 .81 a) and (2 .81 b)...

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... studied first by Kida (1 981 a), and then by Neu (1 984 a) and Bertozzi (1 988 ) using neater approaches. Let us now consider in detail the evolution modes of this Kida elliptic vortex based on Bertozzi’s ... by Neu (1 984 a). 6.4.2 Vortex Dipoles Straight vortex pairs with the strength of the same magnitude but opposite sign are also called vortex dipoles. Lamb in 189 5 and 1906...

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... evolu- tion (e.g., Saffman and Baker 1979; Leonard 1 985 ; Hunt 1 987 ; Ashurst and Meiburg 1 988 ; Virk and Hussain 1993; Hunt and Vassilicos 2000; Lesieur et al. 2000; Schoppa and Hussain 2002; Lesieur ... 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 20...

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 ... y, z) frame and rotating (x  ,y  ,z  ) frame. From Sun and Wu (2004) Leading-edge vortex Starting vortex Tip vortex The wing (a) t =1.2 (d) t =4 .8 (b) t =2.4 (...

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... (1979), Overman and Zabusky (1 982 ), Melander et al. (1 988 ), and others, have per- formed theoretical and numerical studies on this topic. For two vortex patches of the same size R with uniform vorticity, ... 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 v...

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... Lett. 67, 588 –591. Fish S. (1 989 ) Ambient free surface wave modification by a submerged vortex pair. Ph.D. Thesis Univ. Maryland. 722 References Aref H., Flinchem E.P. (1 984 ) Dynamics of a vortex ... Systems and Fluid Flows. World Scientific, Singapore. Kambe, T., Minota, T., Takaoka, M. (1993) Oblique collision of two vortex rings and its acoustic emission. Phys. Rev. E 48, 18...

Ngày tải lên: 11/08/2014, 18:20