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A right-angled triangular channel symmetrical in section about the vertical carries a discharge of 5 m3/s with a velocity of 1.25 m/s. What is the approximate value of the Froude number of the flow?
We know that,
Q = AV
⇒ 5 = A x 1.25 ⇒ A = 4 m2
For a symmetrical right angled triangular channel,
m = 1
∴ A = my2 = 1 x y2 = y2
T = 2my = 2 x 1 x y = 2y
But A = 4 m2
⇒ y2 = 4 ⇒ y = 2 m
A rectangular channel is 5 m wide and 3 m deep. Water is flowing in the channel for a depth of 2.5 m. The hydraulic radius is
Flow depths across a sluice gate are 2.0 m and 0.5 m. What is the discharge (per metre width)?
S0 = slope of the channel bottom
Se = slope of the energy line
F = Froude number
the equation of gradually varied flow is expressed as
A rectangular channel is 6 m wide and discharges 30 m3s-1. The upstream depth is 2.0 m, acceleration due to gravity is 10 ms-2. Then, what is the specific energy (approximate)?
We know that,
Q = AV
⇒ 30 = 6 x 2 x V
⇒ \/ = 2.5 m/s
The specific energy may be given as,
For a smooth hump in a subcritical flow to function as a broad crested weir, the height ΔZ of the hump above the bed must satisfy which one of the following?
(E1 = Specific head upstream of the hump, Ec = Specific head at the critical" depth yc) (Neglect friction effects)
If the flow is subcritical, then after the introduction of hump the specific energy will decrease by ΔZ (height of hump).
E0 ≤ E1 - ΔZ
⇒ ΔZ ≤ (E1 - E0)
A hydraulic jump occurs at the top of a spillway. The depth before jump is 0.2 m. The sequent depth is 3.2 m. What is the energy dissipated in m (approximate)?
The energy dissipation is given by,
What is the normal depth in a wide rectangular channel carrying 0.5 m2/s discharge at a bed slope of 0.0004 and Manning’s n = 0.01?
For a wide rectangular channel, the hydraulic radius (F) is approximately equal to the depth of flow. By Manning’s equation, we have,
Match List-I (Flow section type) with List-ll (Critical discharge is proportional to) where y is the depth of flow-and select the correct answer using the codes given below the lists: