Download e-book for iPad: An Introduction to the Mathematical Theory of Geophysical by Susan Friedunder (Eds.)

By Susan Friedunder (Eds.)

ISBN-10: 0444860320

ISBN-13: 9780444860323

Friedlander S. An creation to the mathematical conception of geophysical fluid dynamics (NH Pub. Co., 1980)(ISBN 0444860320)

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Extra info for An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

Example text

Consides the f u l l Navier-StoKes equations f o r the motions of a r o t a t i n g f l u i d . What physical assump- t i o n s must be made i n order t h a t t h e s e equations can be used t o explain the phenomenon of a Taylor Column? k + Assume t h a t B f ) = 0. i s small and c o n s t r u c t a l i n e a r i z a - t i o n of t h i s e q u a t i o n t o g i v e -d9 at 2p + p g = o . CHAPTER 5 THE EKMAN LAYER I n t h e previous s e c t i o n we i n v e s t i g a t e d the fundamental s t a t e of a r o t a t i n g f l u i d , namely geostrophic balance.

And thus the boundary value problem is well posed i f boundary conditions determining t h e t h r e e v e l o c i t y components a r e prescribed a t 5 = 00. 10) between viscous force and Coriolis force is c h a r a c t e r i s t i c of the Ekman l a y e r . We a l s o note t h a t we would o b t a i n t h e same boundary Layer The EKman l a y e r 39 equation f o r any boundary l a y e r i n a r o t a t i n g f l u i d on a co-planar with t h e a x i s of r o t a t i o n boundary t h a t i s k.

OY And f o r c o m p a t i b i l i t y , t h e imposed h o r i z o n t a l v e l o c i t y must a l s o s a t i s f y Q1 + X Since Qz Y = 0. 18) g i v e s wo = 0, t h e h i g h e s t o r d e r boundary c o n d i t i o n on w becomes i;, + w1 = o a t S=O, Z=O. 20) i s known a6 t h e EKman l a y e r s u c t i o n c o n d i t i o n and i t i s a very important f e a t u r e of r o t a t i n g flow. We observe t h a t somewhat remarKably a p r e s c r i b e d h o r i z o n t a l velocity CJH induces a small v e r t i c a l v e l o c i t y t h i s v e l o c i t y is a n o r d e r smaller t h a n C&).

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An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics by Susan Friedunder (Eds.)


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