Test: Kinematics of Flow & Ideal Flow - 3

Test: Kinematics of Flow & Ideal Flow - 3

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15 Questions MCQ Test Topicwise Question Bank for Mechanical Engineering | Test: Kinematics of Flow & Ideal Flow - 3

Test: Kinematics of Flow & Ideal Flow - 3 for Mechanical Engineering 2022 is part of Topicwise Question Bank for Mechanical Engineering preparation. The Test: Kinematics of Flow & Ideal Flow - 3 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Kinematics of Flow & Ideal Flow - 3 MCQs are made for Mechanical Engineering 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Kinematics of Flow & Ideal Flow - 3 below.
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Test: Kinematics of Flow & Ideal Flow - 3 - Question 1

In a two-dimensional flow, the velocity components in x and y directions in terms of stream function (ψ) are

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 1

For stream function:
Velocity component in x-direction

Velocity component in y-direction

Test: Kinematics of Flow & Ideal Flow - 3 - Question 2

If φ is the velocity potential function in 2-D flow field, then the velocity components u and v are defined as

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 2

For velocity potential function
Velocity component in x direction

Velocity component in y-direction

Test: Kinematics of Flow & Ideal Flow - 3 - Question 3

The convective acceleration of fluid in the x-direction is given by

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 3

Test: Kinematics of Flow & Ideal Flow - 3 - Question 4

A stream line is a fine

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 4

Stream line is an imaginary line drawn in space such that a tangent drawn to it at any point gives velocity at that point.

Test: Kinematics of Flow & Ideal Flow - 3 - Question 5

A steady incompressible flow is given by

Q. What is the convective acceleration along x-direction at point (1, 2)?

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 5

Convective acceleration along x direction

for 2-D flow (w=0)

ax = (2x2 + y2)(4x) - 4xy(2y)
ax = 8x3 + 4xy2 - 8xy2
at (1-2)
ax = 8 + 16 - 32 = - 8 unit

Test: Kinematics of Flow & Ideal Flow - 3 - Question 6

Match List-I with List-ll and select the correct answer using the codes given below the lists:
List-I
A. Stream line
B. Streak line
C. Path line
D. Equipotential lines
List-II
1. Tracing of motion of any fluid particle
2. Tracing of motion of different fluid particles
3. Identification of location of number of fluid particles
4. Orthogonal to streak lines
5. Location of equal piezometric head
Codes:
A B C D
(a) 2 3 4 5
(b) 3 2 1 4
(c) 1 2 4 3
(d) 2 3 1 5

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 6

Stream Line — Curves drawn tangential to the velocity vector at all points in the flow field at any instance of time. They represent Eulerian approach for flow field.
Streak Line — It is locus of the temporary location of all the particles that have passed through a fixed point in the flow field.

Test: Kinematics of Flow & Ideal Flow - 3 - Question 7

The stream function for a two-dimensional flow is given by ψ = 2xy. The velocity at (2, 2) is

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 7

Resultant =

Test: Kinematics of Flow & Ideal Flow - 3 - Question 8

You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following three flow choices, expressed in terms of 2-D velocity field in the xy plane, are made available
P. u = 2y,v = -3x
Q. u = 3xy, v = 0
R. u = -2x , v = 2 y

Which flow(s) should be recommended when the application requires the flow to be incompressible and irrotational

Test: Kinematics of Flow & Ideal Flow - 3 - Question 9

The continuity equation in differential form is

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 9

Continuity equation
ρAV = constant
By differentiating the equation
Av.dρ + ρvdA + ρAdV = 0
By dividing pAv, we get

Test: Kinematics of Flow & Ideal Flow - 3 - Question 10

Given φ = 3 xy and ψ = 3/2(y2 - x2) , the discharge passing between the stream tines through the point (1,3) and (3,3) is

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 10

Note that difference between two stream line is discharge per unit width

Test: Kinematics of Flow & Ideal Flow - 3 - Question 11

If the stream function is given by ψ = 3xy then the velocity at a point (2,3) will be

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 11

Resultant

Test: Kinematics of Flow & Ideal Flow - 3 - Question 12

An open circular cylinder 1.2 m height is filled with a liquid to its top. The liquid is given a rigid body rotation about the axis of the cylinder and the pressure at the centre line at the bottom surface is found to be 0.6 m of liquid. What is the ratio of volume of liquid spilled out of the cylinder to the original volume

Detailed Solution for Test: Kinematics of Flow & Ideal Flow - 3 - Question 12

original volume of cylinder = πr2h
volume of liquid spilled out = 1/2 πr2h

Test: Kinematics of Flow & Ideal Flow - 3 - Question 13

In a two dimensional velocity field with velocities u and v along the x and y directions respectively the convective acceleration along the x-direction is given by

Test: Kinematics of Flow & Ideal Flow - 3 - Question 14

A type of flow in which the fluid particle while moving in the direction of flow rotates about their centre is known as

Test: Kinematics of Flow & Ideal Flow - 3 - Question 15

For the continuity equation given by to be valid, where is the velocity vector, which one of the following is a necessary condition?

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