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Dimensional Analysis Starter Quiz

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Question 1

List I - List II

P.  Reynold’s model - i) Cavitation

Q. Froude model - ii) Capillary rise

R. Euler model - iii) Pipe flow

S. Weber model - iv) flow over spillway

Question 2

Which one of the following is the model scale suitable for a situation where both viscous and gravity forces are predominant. If the kinematic viscosity of model and prototype fluids are 1 .2 stokes and 9.6 stokes respectively.

Question 3

A pipe of diameter 1.5m is required to transport an oil of specific gravity 0.9 and viscosity 0.03 poise at the rate of 3000 l/s. Tests were conducted on a 15cm diameter pipe using water at 20oC. Find the rate of flow in the model. Viscosity of water at 20oC = 0.01poise.

Question 4

A spillway of an irrigation project is to be studied by means of a model constructed to a scale of 1:9 . The prototype discharge is 1000 m3/s. Neglecting the viscous and the surface tension effects, the required flow rate for the model is

Question 5

If the velocity, bulk modulus of elasticity and the mass density of a fluid are denoted by U, k and ρ respectively, then the Mach number is given by?

Question 6

On the apron of spillway model built to scale of 1:25, a hydraulic jump of 90 mm is formed and time required to open the spillway gate is 100 seconds. If the discharge in prototype spillway is 1200 cumecs, then height of the jump in the prototype and discharge over the model are

Question 7

A model of an air duct operating with water produces a pressure drop of 20 kN/m2 over 20 m length. If the scale ratio is 1/60, = 1000 kg/m3 , = 1.2 kg/m3, = 0.001 N-s/m2 and = 0.00002 N-s/m2, the corresponding drop in a 30 m long air duct will be
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Jul 27ESE & GATE CE