q5 (b) The discharge and velocity of flow over the model of a spillway are 4 m3/s and 3.2 m/s, respectively. Determine the velocity and discharge over the prototype, which is 25 times the size of the model. Refer to Table 5(b).

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q5 (b) The discharge and velocity of flow over the model of a spillway are 4 m3/s and 3.2 m/s, respectively. Determine the velocity and discharge over the prototype, which is 25 times the size of the model. Refer to Table 5(b).
TABLE Q5(b)
Scale ratios for laws of
Characteristic
Dimension
Reynolds
Froude
Mach
Geometric
Length
Area
Volume
L
L'
L,
L,
L,
L,
L,
L,
L,
L,
Kinematic
(L²
(ह),
(Lp
Time
T
(L"g-²),
1/2
Velocity
E 12
LT'
(L"g\²),
\Lp
1/2
E
\Lp),
Acceleration
LT2
8,
Discharge
L’T
LA
(L^g\2),
Dynamic
Mass
M
(L’p),
(L’p),
(L’p),
E).
(30,7)
(Lpg),
Force
MLT-2
(L’E,),
Pressure
ML-'T¯2
(E.),
L²p
Impulse and
MLT'
(L²µ),
(Lªpg"^),
(L’p^E,ª),
momentum
Energy and
work
(Lµ
ML²T¯?
(L*pg),
(L’E,),
(L’E,*
Power
ML²T¯³
(L"pg»"),
Lp²
1/2
Note: Usually g is the same in model and prototype.
Transcribed Image Text:TABLE Q5(b) Scale ratios for laws of Characteristic Dimension Reynolds Froude Mach Geometric Length Area Volume L L' L, L, L, L, L, L, L, L, Kinematic (L² (ह), (Lp Time T (L"g-²), 1/2 Velocity E 12 LT' (L"g\²), \Lp 1/2 E \Lp), Acceleration LT2 8, Discharge L’T LA (L^g\2), Dynamic Mass M (L’p), (L’p), (L’p), E). (30,7) (Lpg), Force MLT-2 (L’E,), Pressure ML-'T¯2 (E.), L²p Impulse and MLT' (L²µ), (Lªpg"^), (L’p^E,ª), momentum Energy and work (Lµ ML²T¯? (L*pg), (L’E,), (L’E,* Power ML²T¯³ (L"pg»"), Lp² 1/2 Note: Usually g is the same in model and prototype.
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