Fluid Mechanics Sheet 24

A long pipeline carries water from a river to a city. As part of an augmentation scheme, a similar pipe is added in parallel to the existing pipe for half the total length of the pipeline. The percentage increase in discharge will be

If ${\delta }_1$ and ${\delta }_2$ denote the boundary layer thickness at a point distance x from the leading edge on a flat plate when the Reynolds numbers are 100 and 256 respectively, then the ratio of ${\delta }_1$ to ${\delta }_2$ will be 

A river model is constructed to a horizontal scale of 1:1000 and a vertical scale of 1:100. If the model discharge were $0.1 m^3/s$, then the discharge in the river (in $m^3/s$) would be

Flow net is drawn for a two-dimensional boundary. The velocity of uniform flow at approach is 1.2 m/s. The size of the square is 1.2 cm side. The size of the square at another location in the stream tube is 0.5 cm. The velocity at this point is

The constant angular velocity at which a liquid rotates in a cylinder about a vertical axis such that the pressure at a point on the axis is the same as at a point 2 m higher at a radius 2 m is

A rectangular floating body 20 m long is 5 m wide. The water line is 1.5 m above the bottom. If the centre of gravity is 1.8 m from the bottom, then its metacentric height will be approximately

An inclined plate 2 m long and 1 m wide lies with its length inclined at ${45}^0$ to the surface of water and the nearest edge 1 m below it. If the specific weight of water is $1000 kg/m^3$, then the total pressure on the plate ?(in kg.) is approximately

In a standing wave flume, the depth of flow in the throat region

$S_2$ profile can occur at

Which of the following equations are used for the derivation of the differential equation for water surface profile in open channel flow ?

1. Continuity equation
2. Energy equation
3. Momentum equation

Select the correct answer using the codes given below.

Codes :

Consider the following statements regarding specific energy of the flow in an open channel :

1. There is only one specific energy curve for a given channel
2. Alternate depths are the depths of flow at which the specific energy is the same
3. Critical flow occurs when the specific energy is minimum.

Of these statements

The velocity of a pressure wave in water hammer is equal to the velocity of sound in water. Is this statement correct ?

At the same mean velocity, the ratio of head loss per unit length for a sewer pipe flowing full to that for the same pipe flowing half full would be

The time required to empty a concrete tank through a rectangular weir at the side from a head of 16 cm to 8 cm over the crest was found to be 16 minutes. the time required to empty it further up to the crest will be 

The following stream function $\psi =\frac{x^3}{3}-x^3-x{y}^2+y^2$ will represent/satisfy

The streamlines of a flow net are concentric circles. If the velocity at a radius of 0.6 m is 2.7 m/s, the velocity at a radius of 0.9 m will be

Two small circular orifices of diameters $d_1$ and $d_2$ respectively are placed on one side of a tank at depths of 25 cm and 1 m below a constant surface of water. If the discharges through the orifices are the same, then the ratio of the diameter $d_1$ and $d_2$ will be

A slab of wood 4 m by 4 m by 1 m (height), specific gravity 0.50 floats in water with 400 kg mass on it. The volume of the slab submerged, in cubic metres, is

A Bourdon gauge measures the pressure at a point relative to

A pressure increase of $200 N/c{m}^2$ increases the density of water by 0.1%. The bulk modulus of elasticity of water is equal to