075 10 WPL 062.. WLW 073 52 083 47 074 106 -49 076 GGW TFX GYX -48 086 BIS 086 C
ID: 114030 • Letter: 0
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075 10 WPL 062.. WLW 073 52 083 47 074 106 -49 076 GGW TFX GYX -48 086 BIS 086 CHH -47 AP 12 ABR -5 074 BUF 49 071 -50 086 -47 3 RAP RIW 077 14 REV 148073 15 LKN 46 090 46 087 19 AX 17 LBF WAL -46 088 28 IL 4 078 3 OAK 47 085 071 5DNR 20 TOP 092 1Z GSÓ -4 4 08 8 DD 21 S 4 078 38 BNA 5 LMN -44 086 -43 093 3 095 092~ 44 06 FGZ 28 LZ 078 ABQ HS 44 81 -431 084 09 6 FWD 084 6 JAN 1Y7 42 091 -42 097 098 SHV 6 MAF 089 94 088 101 15 DRT · -42 098 76225 445 1094 RP MYNN 104 KEY 8 ADN 10 BRO University of Wyoming 12Z 29 Sep 2016 250 hPaExplanation / Answer
absolute vorticity is just the relative vorticity + the earth’s vorticity (which is
just twice the angular velocity of the earth). We shall see that the ‘relative’ vorticity is twice the
local angular momentum. An air parcel has vorticity if it is rotating about an axis through itself.
The flow doesn’t have to have an apparent vortex to have vorticity, the best way to see this is to
invoke the concept of a pinwheel. Assume unidirectional wind shear profile, u = Z, v = 0, w = 0,
where is assumed constant
Thus, consistent with our diagram above - only the j component of vorticity exists. For a constant
wind w.r.t. height, , i.e. the pinwheel doesn’t rotate.
vortex line: a line that's everywhere tangent to local vorticity vector (at a specific time). [consider
u=u(z) shear example above]
Assume we have a solid body vortex, using cylindrical coordinates
This is analogous to a record player such that
where the tangential velocity increases linearly w.r.t. the radius and K = constant.
vortex line: a line that's everywhere tangent to local vorticity vector (at a specific time).
Assume we have a solid body vortex, using cylindrical coordinates
u uiˆ vjˆ wkˆ vrr
ˆ v
ˆ wkˆ
This is analogous to a record player such that
where the tangential velocity increases linearly w.r.t. the radius and K = constant, i.e.
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