西安建筑科技大学-流体力学9 明渠流动-课后答案

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9-2 2

0 3.2 1.6 5.12m A bh ==⨯=

5.120.8m

2 3.22 1.6

A R b h =

=

=++⨯

1/6

1/6

0.5

110.838.54m

/s 0.025

C R

n

=

=

⨯=

22

2

2

2

2

6

0.0011638.54 5.120.8

Q

Q C i C A R

=⇒==

=⨯⨯

9-4 (1) 1.0α=时,2

2

2

0.78540.785410.7854m A d ==⨯= 0.250.2510.25m R d ==⨯=

1/6

1/6

0.5

110.25

56.69m

/s 0.014

C R

n =

=

⨯=

56.69 1.79m/s C υ==⨯=

3

1.790.7854 1.41m /s Q A υ==⨯=

(2) 0.7α=时,222

0.58720.587210.5872m A d ==⨯=

0.29620.296210.2962m R d ==⨯=

1/6

1/6

0.5

110.2962

58.32m

/s 0.014

C R

n =

=

⨯=

58.32 2.02m/s C υ==⨯=

3

2.020.5872 1.19m /s Q A υ==⨯=

9-7 55b b h h

β=

=⇒=

()()2

5 1.5 6.5A b mh h h h h h =+=+=

2528.6b h h χ=+=+=

()

()

5

5

238

3

3

22

33

6.5

4.79

0.0225

8.6

h

A

Q C h

n

h

χ

==⋅=⋅=

33

88

12

1.41m

4.79 4.79

Q

h

⎛⎫⎛⎫

===

⎪ ⎪

⎝⎭⎝⎭

55 1.417.05m

b h

==⨯=

9-10

50

1.4m/s

35.84

Q

A

υ===

22

1.4

2.76 2.86m

229.8

e h

g

αυ

=+=+=

1.41

0.361

Fr

υ

===<缓流

9-14

2

3k

i i<

K

K N2

1k

i i >2k

i i =3k

i i

N 1

N 1

N 2

N 2c

3

a 3

k

K

K

N N

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