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GATE CE 2021: Fluid Mechanics Quiz 11 (App update required to attempt this test)

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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 spillway of a dam project is studies by a model constructed to a scale of 1:The prototype discharge is 1000 m3/s. The required flow rate for the model will be? Neglect the viscous and surface tension effects. Report answer in cumecs upto 3 decimal places.

Question 3

In a tidal model, the horizontal scale ratio is and the vertical scale is .The model period (in minutes), corresponding to a prototype period of 18 hours, would be

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

There is a 1: 30 scale model of a submarine which has to undergo a drag test in a wind tunnel when it is operating in ocean at 15 km/hr. The kinematic viscosity of air is 1 .51 × 10–5 m2/s and for water 1.02 × 10–6 m2/sec. What is the velocity of air (in m/s) in wind tunnel that should be maintained for kinematic similarity?

Question 6

An air duct is to be modelled to a scale of 1 : 20 and tested with water which is 50 times viscous and 800 times more dense than air. When tested under dynamically similar conditions, the pressure drop between two sections in the model is 235 kPa. The corresponding pressure drop in the prototype is _______Pa.
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Apr 28ESE & GATE CE