CHEMICAL ENGINEERING

(Amelia) #1

THE BOUNDARY LAYER 297



∂x

υ

{∫ 1


0

[


sin




2


y
υ




1


2


C


1


2


cos

y
υ

]


d

y
υ

D





2 υus

∂x

υ

[


2





cos




2


y
υ




1


2


y
υ

C


1


2 


sin

y
υ

] 1


0

D





2 υus

∂x

υ

[


2








1


2


]


D





2 υus
(
4


 1


)


υ^2
2

D


    x
us

assumingυD0atxD 0

υ^2
x^2

D


(


usx

)(


2 



4 / 1


)



υ
x

D


p
23. 1 Rex^1 /^2 D 4. 80 Rex^1 /^2


υυŁ usD

∫υ

0

ussin

(


2


y
υ

)


dyD

[


us

(





2 υ


)


cos




2


y
υ


0

Dus

2 υ


υŁDυ

(


1 


2





)


and :


υŁ
υ

D 0. 363.

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