Fluid Mechanics - Open Channel Flow

For a hydraulic jump formed in a rectangular horizontal channel, the sequent depth ratio is 2. The Froude number of supercritical stream is

Width (in m) of a rectangular channel required to carry a discharge of 96 m³/s at a critical depth of 9.8 m is __________ (rounded off to two decimal places). Use acceleration due to gravity = 9.8 m/s²

A wide unlined channel carries sediment-free water. The depth of water is 1 m. The specific weight of water is 10 kN/m³. To prevent scouring, the maximum permissible tractive stress on bed is 10 N/m². The maximum slope o...

The flow depth for a discharge of 10 m³/s in a wide rectangular channel is 2.0 m. Assume that the flow is uniform. If the discharge is doubled, the flow depth (in m) in this channel is ________ (rounded off to two decima...

A hydraulic jump occurs in an open channel when the slope of the channel changes from _________.

Consider flow in a long and very wide rectangular open channel. Width of the channel can be considered as infinity compared to the depth of flow. Uniform flow depth is 1.0 m. The bed slope of the channel is 0.0001. The M...

The number of degrees of freedom for a natural open channel flow with a mobile bed is

A 2 m wide rectangular channel is carrying a discharge of 30 m³/s at a bed slope of 1 in 300. Assuming the energy correction factor as 1.1 and acceleration due to gravity as 10 m/s², the critical depth of flow (in meters...

A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy's coefficient as 150 m^(1/2)/s. The normal depth of flow, y (in meters) for carrying a discharge of...

A rectangular channel is 4.0 m wide and carries a discharge of 2.0 m³/s with a depth of 0.4 m. The channel transitions to a maximum width contraction at a downstream location, without influencing the upstream flow condit...

When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become _________.

A compound symmetrical open channel section as shown in the figure has a maximum of _________ critical depth(s).

The critical flow condition in a channel is given by _________ [Note: α - kinetic energy correction factor; Q - discharge; A_c - cross-sectional area of flow at critical flow condition; T_c - top width of flow at critica...

A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m and a post-jump depth of 1.0 m. The value of g may be taken as 10 m/s². The values of the specific for...

A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting GVF profile is

Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a section and its height is gradually increased to reach choked condition in the channel. The depth of w...

Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel carries a discharge of 12 m³/s. Take g = 9.8 m/s². The bed width (in m) at contraction, which just causes the critical flow, is __________ with...

If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections then the ratio of hydraulic radius of triangular section to that of rectangular section is

A 4 m wide rectangular channel carries 6 m³/s of water. The Manning's 'n' of the open channel is 0.02. Considering g = 9.81 m/s², the critical velocity of flow (in m/s, round off to two decimal places) in the channel, is

In a rectangular channel, the ratio of the velocity head to the flow depth for critical flow condition, is

A rectangular open channel has a width of 5 m and a bed slope of 0.001. For a uniform flow of depth 2 m, the velocity is 2 m/s. The Manning's roughness coefficient for the channel is

For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as

A 10 m wide rectangular channel carries a discharge of 20 m³/s under critical condition. Using g = 9.81 m/s², the specific energy (in m, up to two decimal places) is _________

Variation of water depth (y) in a gradually varied open channel flow is given by the first order differential equation $\frac{dy}{dx} = \frac{1 - e^{-\frac{10}{3}\ln(y)}}{250 - 45e^{-3\ln(y)}}$ Given initial condition: $...

A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure. It is observed that the depth of flow is 1.0 m upstream of the gate, while the depth is 0.2 m downstream of the gate. A...