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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Test: Dimensional Analysis & Modeling - Mechanical Engineering MCQ

Test: Dimensional Analysis & Modeling - Mechanical Engineering MCQ


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15 Questions MCQ Test - Test: Dimensional Analysis & Modeling

Test: Dimensional Analysis & Modeling for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Test: Dimensional Analysis & Modeling questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Dimensional Analysis & Modeling MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Dimensional Analysis & Modeling below.
Solutions of Test: Dimensional Analysis & Modeling questions in English are available as part of our course for Mechanical Engineering & Test: Dimensional Analysis & Modeling solutions in Hindi for Mechanical Engineering course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Dimensional Analysis & Modeling | 15 questions in 20 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study for Mechanical Engineering Exam | Download free PDF with solutions
Test: Dimensional Analysis & Modeling - Question 1
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Froude number is significant in

Detailed Solution for Test: Dimensional Analysis & Modeling - Question 1
Froude No = √ Inertial force / Gravity force

So, Froude number is significant when gravity forces have strong influence.

Test: Dimensional Analysis & Modeling - Question 2
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In similitude with gravity force, where equality of Froude number exists, the velocity ratio becomes

where Lr = ratio of linear dimensions of model and prototype.

Detailed Solution for Test: Dimensional Analysis & Modeling - Question 2

When similitude of gravity forces exists and Froude number are equal i.e.,

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Test: Dimensional Analysis & Modeling - Question 3
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Consider the following statements:

1. At low Reynolds numbers of any flow, viscous forces dominate over inertial forces. 2. Transition from laminar to turbulent flow occurs over a range of Reynolds number depending on the surface presented to the flow.

Which of the above statements is/are correct?

Detailed Solution for Test: Dimensional Analysis & Modeling - Question 3
Reynolds number is the ratio of inertial force to viscous force. So for low Reynolds number, viscous force > inertial force. The critical value of Reynolds number depends on the surface on which the flow occurs. So both the statements are true.

Test: Dimensional Analysis & Modeling - Question 4
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The laminar flow is characterized by Reynolds number which is
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 4
For the flow to be laminar, the Reynolds number of the flow must be less than the critical Reynolds number.

Test: Dimensional Analysis & Modeling - Question 5
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Laminar flow between closely spaced parallel plates is governed by the consideration of which one of the following pairs of forces?
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 5
For laminar flow between parallel plates, viscous and inertial forces are the most significant forces. Laminar flow can occur even when no pressure or gravitational forces play an effect, for example, the laminar flow between one fixed and one moving plate when both the plates are horizontal and exposed to the atmosphere are not affected by either pressure or gravity force. But for flow to be laminar, viscous forces must exist.

Test: Dimensional Analysis & Modeling - Question 6
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The unit of the following property is not m2⁄s
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 6
Although you can check the units of all the four options, it will be wise to note that option (B) and (C) can never have the same units. So if you check just the two options you will see that dynamic viscosity has the unit of Pa-s.

Test: Dimensional Analysis & Modeling - Question 7
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In flow through a pipe, the transition from laminar to turbulent flow does not depend on
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 7
For flow through pipe, the characteristic length is the diameter of pipe and not the length of the pipe. So the Reynolds number in pipe flow depends on velocity, viscosity, density of fluid and the diameter of pipe, but not the length of pipe.

Test: Dimensional Analysis & Modeling - Question 8
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In a compressible fluid flow field, the Mach number indicates the ratio of
Test: Dimensional Analysis & Modeling - Question 9
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Weber number is ratio of square root of inertial force to
Test: Dimensional Analysis & Modeling - Question 10
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Assertion (A): In fluid system model studies, a simple scaling-up of measurements made on the model may not yield results accurately corresponding to the prototype.

Reason (R): Surface tension forces may be relatively much more significant in the model than in the prototype.
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 10
For many fluid systems, the forces on models and prototypes may not be in the ratio of their geometric scales and it depends on the various kinds of forces that hold significance in case of models and prototype. For example, due to the small size of the model, the capillary effects may be significant in a model whereas it will not hold significance on larger size prototypes. So both the statements are correct and R is the correct explanation of A.

Test: Dimensional Analysis & Modeling - Question 11
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What are the forces that influence the problem of fluid statics?
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 11
For static fluid, viscous force is absent. If the quantity of fluid is large, surface tension force is negligible. So the only forces worth considering in case of static fluid are gravity and pressure forces.

Test: Dimensional Analysis & Modeling - Question 12
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The time period of a simple pendulum depends on its effective length l and the local acceleration due to gravity g. What is the number of dimensionless parameters involved?
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 12
Number of variables (m) = 3 (Time period, length and gravity) Number of fundamental dimensions (n) = 3 (M, L and T) Number of dimensionless terms = m − n = 0

Test: Dimensional Analysis & Modeling - Question 13
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What is the correct dimensionless group formed with the variables ρ­density, Rotational speed, diameter and μ­coefficient of viscosity?
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 13

For a dimensionless group to form ρ / μ or μ / ρ should exist (to make the power of M to zero) which eliminates c, and d. checking option (B) gives

Test: Dimensional Analysis & Modeling - Question 14
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Viscosity has the dimension of
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 14
We know

Test: Dimensional Analysis & Modeling - Question 15
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A model of a golf ball is to be studied to determine the effects of the dimples. A sphere 10 times larger in diameter than an actual golf ball is used in the wind tunnel study. What speed should be selected for the model to simulate a prototype speed of 50 m ⁄ s ?
Detailed Solution for Test: Dimensional Analysis & Modeling - Question 15
dm = 10 dp

Vp = 50 m/s

Vm =?

Assuming viscous effects are dominant and applying dynamic similarity

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