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