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ESE 90 DAYS PLAN_Dimensional Analysis & Drag and Lift
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Question 1
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
and the vertical scale is .The model period (in minutes), corresponding to a prototype period of 18 hours, would be Question 2
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]
[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 3
A 1 : 30 scale model of a submarine is to be tested in a wind tunnel for its drag when it is operating at 15 km/h in ocean. The kinematic viscosity of air is 1.51 × 10-5 m2/s and water 1.02 × 10-6 m2/sec. What is the velocity of air in wind tunnel that should be maintained for kinematic similarity?
Question 4
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
= 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 beQuestion 5
A laboratory model of a river is built to a geometric scale of 1:200. The fluid used in the model is oil of mass density 850 kg/m3. The highest flood in the river is 12000 m3/s. the corresponding discharge in the model shall be
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May 2ESE & GATE CE
