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249:, representing the derivatives of wind component. Because these derivatives vary greatly with the rotation of the coordinate system, so do
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is the rate of change of shape of fluid bodies. Meteorologically, this quantity is very important in the formation of
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357:). Several flow patterns are characteristic of large deformation: confluence, diffluence, and shear flow.
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242:{\displaystyle \ B={\frac {\partial u}{\partial x}}-{\frac {\partial v}{\partial y}}}
173:{\displaystyle \ A={\frac {\partial v}{\partial x}}+{\frac {\partial u}{\partial y}}}
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381:, is the elongating of a fluid body normal to the flow (streamline divergence).
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369:, is the elongating of a fluid body along the flow (streamline convergence).
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353:, the line along which the material elements stretch (also known as the
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104:{\displaystyle \operatorname {def} \mathbf {V} ={\sqrt {A^{2}+B^{2}}}}
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shapes, and in the diffusion of materials and properties.
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DjuriÄ, D: "Weather
Analysis". Prentice Hall, 1994.
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53:The deformation of horizontal wind is defined as
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351:direction of the dilatation axis
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27:appears to set be place by a
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303:The deformation elements
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355:stretching direction
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299:Stretching direction
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342:{\displaystyle \ B}
319:{\displaystyle \ A}
288:{\displaystyle \ B}
265:{\displaystyle \ A}
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39:atmospheric fronts
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16:Weather phenomenon
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408:Convergence zone
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461:Vector calculus
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35:Deformation
455:Categories
419:References
413:Divergence
403:Wind shear
392:confluence
373:Diffluence
367:stretching
361:Confluence
29:human hand
231:∂
223:∂
217:−
208:∂
200:∂
162:∂
154:∂
139:∂
131:∂
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49:Equations
397:See also
388:Extreme
379:shearing
111:, where
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466:Rates
390:cloud
43:cloud
25:cloud
438:ISBN
326:and
272:and
180:and
61:def
457::
427:^
295:.
23:A
444:.
337:B
314:A
283:B
260:A
234:y
226:v
211:x
203:u
194:=
191:B
165:y
157:u
148:+
142:x
134:v
125:=
122:A
95:2
91:B
87:+
82:2
78:A
72:=
68:V
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