the appropriate characteristic length and velocity scales for B.L. analysis are L and u., respectively. This gives X* = Xx y* = =0-> U∞o du* L Əx* u* = Rearranging and substituting into conservation of mass yields du Əv + ?х ду + น U oo (u*ux) d(v²u.co) Ə(x*L) Əy*L) U∞ dv* L Əy* du* dv* əx* əy* + v* = = 0 + = 0 = 0 V U oo Replicate this process for conservation of momentum and energy to derive the dimensionless B.L. equations.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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the appropriate characteristic length and velocity scales for B.L.
analysis are L and u., respectively. This gives
x
y
= ²₁ y² = ²₁
I'
y*
L
x* =
U∞o du*
L Əx*
?u*
əx*
u* =
+
Rearranging and substituting into conservation of mass yields
du əv
ə(u*u…) ð (v*ux)
+
+ =0->
?х ду
a(x*L) a(v*L)
U
U oo
Uoo dv*
L Əy*
}
= 0
dv*
+ = 0
Əy*
v* =
= 0
v
U oo
Replicate this process for conservation of momentum and energy to derive the
dimensionless B.L. equations.
Transcribed Image Text:the appropriate characteristic length and velocity scales for B.L. analysis are L and u., respectively. This gives x y = ²₁ y² = ²₁ I' y* L x* = U∞o du* L Əx* ?u* əx* u* = + Rearranging and substituting into conservation of mass yields du əv ə(u*u…) ð (v*ux) + + =0-> ?х ду a(x*L) a(v*L) U U oo Uoo dv* L Əy* } = 0 dv* + = 0 Əy* v* = = 0 v U oo Replicate this process for conservation of momentum and energy to derive the dimensionless B.L. equations.
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