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Test: Dimensional & Model Analysis - 2 - Question 1

Apart from inertia force, which of the following forces is most important in motion of submarines underwater?

Test: Dimensional & Model Analysis - 2 - Question 2

Assuming that the thrust T of a propeller depends on the diameter D, speed of advance V, angular velocity ω, dynamic viscosity μ and mass density ρ, which of the following ’non -dimensional parameters can be derived ‘by dimensional analysis?

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Test: Dimensional & Model Analysis - 2 - Question 3

Which of the following could be a π-parameter of the function f(F, V, r, m, L) = 0 when V, r and L are taken as repeating variables?

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Test: Dimensional & Model Analysis - 2 - Question 4

Match List-I (Flow problem under study) with List-ll (Model law) and select the correct answer using the codes given below the lists:

List-I

1. Rise of gas bubbles in liquid

2. Flow of gas in a pipe

3. Flow over a spillway dam

4. Flight of supersonic jet

List-II

A. Euler number

B. Froude number

C. Mach number

D. Reynold’s number

E. Weber’s number

Test: Dimensional & Model Analysis - 2 - Question 5

A ship’s model of scale 1 : 100 had a wave resistance of 1 kg at its design speed. The corresponding wave resistance in prototype will be

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Test: Dimensional & Model Analysis - 2 - Question 6

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

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Test: Dimensional & Model Analysis - 2 - Question 8

A model of reservoir is emptied in 10 minutes. If the model scale is 1:25, the time taken by the prototype to empty itself, would be

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Test: Dimensional & Model Analysis - 2 - Question 9

When Mach number is more than 6, the flow is called

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Test: Dimensional & Model Analysis - 2 - Question 10

A harbour model has a horizontal scale of 1/150 and a vertical scale of 1/60. The interval between successive high tides in the model will be nearly

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