The Lecture Notes in Physics Part 8 pps
The Lecture Notes in Physics Part 8 pps
... rewriting the contour integral in (5.9) in terms of C, which mathemati- cally amounts to a variable substitution in the integrand. The only non-trivial step is the transformation of the line element ... want, but the important question is how I evolves in time. The easiest way to find the time derivative of I in the case of compact q L is by interpreting the integ...
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The Lecture Notes in Physics Part 2 pps
... reveal the turbulent region during the forcing by the spinning sphere and the more smooth density structure soon after the forcing is stopped. Vortices produced in this way (either with the spinning ... density perturbation introduced in case 1, with the resultant circulation sketched in (b). The resulting cir- culation arising in case 2, in which the centrifugal f...
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The Lecture Notes in Physics Part 3 ppsx
... streamlines are hyperbolic as shown in Fig. 2 .8 and the continuous stretching along the unsta- ble manifold of the stagnation point of the flow induces instability. The instability Fig. 2 .8 Flow ... Neglecting the torsion, the obtained flow is therefore similar to the one studied previously. Indeed, the normal to the osculating plane (so-called binormal) is precessing...
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The Lecture Notes in Physics Part 5 ppsx
... version of these theorems was presented in Sect. 3.2.2. In the quasi-geostrophic framework, these theorems state that even in the presence of diabatic heating and frictional or other forces, there ... g∇ 2 h, which is the gradient wind balance presented above (further details are available in [100]). The problem of separating these two types of motions in numerical weather p...
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The Lecture Notes in Physics Part 10 ppsx
... cross-section of the flow [17]. The area- preserving straining flow due to the vortex dipole increases the pseudomomentum of the wavepacket, because it compresses the wavepacket in the x-direction ... whilst stretching it in the y-direction. At the same time, the Bretherton flow induced by the finite wavepacket pushes the vortex dipole closer together, which reduces t...
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The Lecture Notes in Physics Part 1 doc
... co-rotating reference frame The Lecture Notes in Physics The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching – quickly and informally, ... 2010), DOI 10.1007/9 78- 3-642-11 587 -5 Lecture Notes in Physics ISSN 0075 -84 50 e-ISSN 1616-6361 ISBN 9 78- 3-642-11 586 -8 e-ISBN 9 78- 3-642-11 587 -5...
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The Lecture Notes in Physics Part 4 potx
... resulting in the formation of so-called rings or synoptic eddies. These rings, and in particular the warm-core rings which are surface intensified, have long since been identified in the vicinity ... of these rings and lead to their splitting into two or three parts [3]. 3 Oceanic Vortices 69 flow exiting in the South Indian Ocean forms Teddies (throughflow eddies) and the Loop...
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The Lecture Notes in Physics Part 6 ppt
... in the Gulf stream at 68 ◦ W: Part II. Eddy forcing on the time-mean flow, J. Phys. Oceanogr., 26, 2132 (1996). 68 39. Cronin, M., Watts, R.D.: Eddy-mean flow interaction in the Gulf stream at 68 ◦ W: ... isolated mass anomalies (the isopycnals do not pinch off). Therefore, they entrain the surrounding fluid and the motion of this fluid must be taken into account. The surrou...
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The Lecture Notes in Physics Part 7 pot
... ρ 2 h 2 ). (4.60) The fast motions in the linear approximation are internal inertia-gravity waves prop- agating along the interface between the layers. By linearizing about the rest state h 1 = ... particles in the adjusted state ( ¯ X, ¯ Z), rather than the initial positions (x, z). When this change of variables is made in (4.1 28) , two terms which express the thermal...
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The Lecture Notes in Physics Part 9 pptx
... Longuet– Higgins in [32, 33]. In this theory the flow is periodic in the alongshore direction and, most importantly, the incoming wave forms a slowly varying wavetrain with constant amplitude in the alongshore ... lasting change in the mean flow. It is also clear that the net residual forcing points in the direction of p. So there is no intrinsic link between wave diss...
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