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GATE CE 2020: Fluid Mechanics Quiz 11

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Question 1

The relationship between the length scale ratio and the velocity scale ratio in hydraulic models, in which Froude dynamic similarity is maintained, is

Question 2

A laboratory model of a river is built to a geometric scale of 1:100. The fluid used in the model is oil of mass density 900 kg/m3. The highest flood in the river is 10,000 m3/s. The corresponding discharge in the model shall be

Question 3

The pressure at the nose of a Description: E:\Gate\SSC JE Civil Part 1-Done\04_FM_BLok_files\image156.png scale model tested in freshwater at 14.8 m/s is 1.32Description: E:\Gate\SSC JE Civil Part 1-Done\04_FM_BLok_files\image157.png greater than the free stream pressure upstream of the topedo nose. What would be the free stream pressure upstream of its nose? (Specific gravity of seawater is 1.025, with its dynamic viscosity being the same as that of freshwater and Reynold’s condition prevails).

Question 4

Water at 15 °C flows at 5 m/s in a 200 mm pipe. At 30 °C, oil must flow in a 50 mm pipe for the two flows to be dynamically similar. The velocity (in m/s) is
[Take kinematic viscosity for water at 15 °C as 1.145 x 10-6 m2/s and that for oil at 30 °C as 3 x 10-6 m2/s]

Question 5

The loss of In the model of a highway bridge constructed to a scale of 1 : 25, the force of water on the pier was measured as 5 N. What is the force (approximate) on the prototype pier?

Question 6

The flow in a river is 1500 cumecs. A distorted model is built with horizontal scale of 1/150 and vertical scale of 1/25. The flow rate in the model should be
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Aug 19ESE & GATE CE