GATE (CE) 2022: Fluid Mechanics and Hydraulics #29

The pressure rise due to water hammer depends on

1) Velocity of flow of water in a pipe

2) Length of pipe

3) Time taken to close the valve

4) Elastic properties of the material of pipe

What is the velocity of pressure waves in a pipe flowing with water having bulk modulus = 2.25 × 10⁹ N/m²

For a given location in a flow the rate of change of density following a fluid particle

, is 2.4 kg/m³/s. If the density at that point is 1.2 kg/m³, then the divergence of the velocity field  at that point is

What will be the metacentric height of a rectangular block having dimension 6 × 3 × 1.5 m if the block is submerged to a height of 0.8 m in the fluid

Find the minimum gradient(in cm/100m) to be given to a 200 m long raw water gravity main to carry a water from intake to the Jackwell of a water treatment plant. The required flow through this main is 0.3 m³/s and the allowable velocity = 0.8 m/s f = 0.01

A rectangular channel 1.2 m wide has a bed slope of 0.0012 and the manning's roughness coefficient is 0.05. Uniform flow takes place in the channel at a flow depth of 0.4 m. At a section, flow depth is measured as 0.3 m with gradual varied flow. The GVF profile at the section is classified as