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Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Fluid Mechanics for Mechanical Engineering  >  Test: Boundary Layer Level - 1 - Mechanical Engineering MCQ

Test: Boundary Layer Level - 1 - Mechanical Engineering MCQ


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10 Questions MCQ Test Fluid Mechanics for Mechanical Engineering - Test: Boundary Layer Level - 1

Test: Boundary Layer Level - 1 for Mechanical Engineering 2024 is part of Fluid Mechanics for Mechanical Engineering preparation. The Test: Boundary Layer Level - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Boundary Layer Level - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Boundary Layer Level - 1 below.
Solutions of Test: Boundary Layer Level - 1 questions in English are available as part of our Fluid Mechanics for Mechanical Engineering for Mechanical Engineering & Test: Boundary Layer Level - 1 solutions in Hindi for Fluid Mechanics 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: Boundary Layer Level - 1 | 10 questions in 25 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study Fluid Mechanics for Mechanical Engineering for Mechanical Engineering Exam | Download free PDF with solutions
Test: Boundary Layer Level - 1 - Question 1
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The transition Reynolds number for flow over a flat plate is 5 × 105. What is the distance from the leading edge at which transition will occur for flow of water with a free stream velocity of 1 m/s ? (For water, the kinematic viscosity is ν = 0.86 × 10−6 m2/s)

Detailed Solution for Test: Boundary Layer Level - 1 - Question 1
Rex = Vx / ν

Substituting values

5 × 105 = 1 × x / 0.86 × 10−6

x = 0.43 m

Test: Boundary Layer Level - 1 - Question 2
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The laminar boundary layer thickness varies as

Detailed Solution for Test: Boundary Layer Level - 1 - Question 2

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Test: Boundary Layer Level - 1 - Question 3
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Under what condition does flow separation take place?

Detailed Solution for Test: Boundary Layer Level - 1 - Question 3
Flow separation can only take place when, there is adverse pressure gradient i.e as the fluid moves forward along the plate (dx > 0) the pressure increases dp > 0 hence for flow separation dp / dx > 0

Test: Boundary Layer Level - 1 - Question 4
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Friction drag is generally larger than the pressure drag in
Detailed Solution for Test: Boundary Layer Level - 1 - Question 4
The pressure drag will be maximum in case of flow separations. So in case of flow past a cylinder or sphere, there will be considerable pressure drag as in these cases, the flow separates early on. In case of flow past a thin sheet, there will be no pressure drag (Assumptions of Blasius). In case of air foil, the pressure drag will exist but it will be smaller than friction drag.

Test: Boundary Layer Level - 1 - Question 5
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A fluid is flowing over a flat plate. At a distance of 8 cm from the leading edge, the Reynolds number is found to be 25600. The thickness of the boundary layer at this point is
Detailed Solution for Test: Boundary Layer Level - 1 - Question 5

Test: Boundary Layer Level - 1 - Question 6
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In a laminar boundary layer over a flat plate, what would be the ratio of wall shear stresses τ1 and τ2 at two sections which lie at distance x1 = 2 units and x2 = 10 units from the leading edge of the plate?
Detailed Solution for Test: Boundary Layer Level - 1 - Question 6

For laminar boundary layer,

Hence option (B) is the answer.

Test: Boundary Layer Level - 1 - Question 7
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Consider the following statements pertaining to boundary layer on solid surfaces:

1. The boundary layer separation takes place if the pressure gradient is zero.

Boundary layer on a flat plate is laminar if the Reynolds number is less than 5 × 105.

Which of the above statements is/are correct?
Detailed Solution for Test: Boundary Layer Level - 1 - Question 7
Boundary layer can only separate if there is an adverse pressure gradient in the flow direction, without a pressure gradient, the boundary layer will never separate, so 1 is wrong. For Boundary layer to separate, the fluid near the boundary will also have to come to rest, along with the fluid particles which are on the surface. Hence velocity gradient at the wall (y = 0) will be 0.

Test: Boundary Layer Level - 1 - Question 8
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The velocity distribution in a laminar boundary layer over a flat plate has been prescribed by the identity

The factor A will have an approximate value of
Detailed Solution for Test: Boundary Layer Level - 1 - Question 8
For laminar boundary layer the velocity profile should definitely satisfy the following boundary conditions.

t satisfies the first condition as at y = 0, sin term becomes zero. Let us consider the second condition i. e. at y = δ, u → U0

Hence option (A) is the answer.

Test: Boundary Layer Level - 1 - Question 9
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The velocity distribution in the laminar boundary layer is presumed to conform to the identity u /U0 = y / δ . The momentum thickness for this laminar boundary layer would be
Detailed Solution for Test: Boundary Layer Level - 1 - Question 9
The momentum thickness (θ) for a boundary layer is given as

Hence option (C) is the answer.

Test: Boundary Layer Level - 1 - Question 10
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Angle of diverging portion of the venturimeter is limited to 7°, because

1. Flow decelerates in the diverging portion and pressure increases in the downstream direction. Hence, the fluid experience an adverse pressure gradient, if the divergence angle is large.

2. Flow separation takes place due to adverse pressure gradient when divergence angle is large.

3. If the divergence angle is large, a negative pressure is created at the throat which obstructs the flow of fluid.

Which of the above reasons are correct?
Detailed Solution for Test: Boundary Layer Level - 1 - Question 10
The pressure at the throat is not affected by the divergence angle, it depends on inlet pressure, inlet diameter and throat diameter (Bernoulli’s equation) whereas the flow separation is affected by the divergence angle.

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