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# GATE 2023 FLUID MECHANICS Quiz 25

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Question 1

A model of submarine is scaled down to 1/25 of the prototype and is to be tested in a wind tunnel. The speed of the prototype at which we are to estimate the drag is 10 m/s. The ratio of the drag between the model and the prototype is
[Take vsea water = 1.21 x 10-2 cm2/s, vair = 1.64 x 10-1 cm2/s and psea water = 1027 kg/m3, pair = 1.34 kg/m3]

Question 2

Froude’s number is the ratio of inertia force to?

Question 3

Match List-I (Flow problem under study) with List-II (Model law) and select the correct answer using the codes given below the lists:
List-I
A) Rise of gas bubbles in liquid
B) Flow of gas in a pipe
C) Flow over a spillway dam
D) Flight of supersonic jet
List-II
1) Euler number
2) Froude number
3) Mach number
4) Reynolds number
5) Weber number

Question 4

The Reynold’s number for a fluid in a pipe of 25 cm diameter is 2000. Then the Reynold’s number in a 15 cm diameter pipe forming an extension of the 25 cm flow pipe will be ……… (round of to 2 decimal places) Take the flow as incompressible.

Question 5Multiple Correct Options

Which of the following options are true?

Question 6

A 1: 25 model of a naval ship having a submerged area of 6 m2 and length 10 m has a total drag of 35 N when towed through water at a velocity of 2.0 m/s. Use relation for skin resistance. The value of is given by
The total drag on prototype when moving at corresponding speed is ______kN.
[Take kinematic viscosity of water (or sea water) as 0.01 stokes and the specific weight of sea water as 1000 kg/m3]
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