Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  Fluid Mechanics for Mechanical Engineering  >  Test: Continuity Equation - Mechanical Engineering MCQ

Test: Continuity Equation - Mechanical Engineering MCQ


Test Description

15 Questions MCQ Test Fluid Mechanics for Mechanical Engineering - Test: Continuity Equation

Test: Continuity Equation for Mechanical Engineering 2024 is part of Fluid Mechanics for Mechanical Engineering preparation. The Test: Continuity Equation questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Continuity Equation MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Continuity Equation below.
Solutions of Test: Continuity Equation questions in English are available as part of our Fluid Mechanics for Mechanical Engineering for Mechanical Engineering & Test: Continuity Equation 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: Continuity Equation | 15 questions in 30 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: Continuity Equation - Question 1

If a liquid enters a pipe of diameter d with a velocity v, what will it’s velocity at the exit if the diameter reduces to 0.5d?

Detailed Solution for Test: Continuity Equation - Question 1

 

Explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions.

Test: Continuity Equation - Question 2

The continuity equation is based on the principle of

Detailed Solution for Test: Continuity Equation - Question 2

Explanation: According to the Continuity Equation, if no fluid is added or removed from the pipe in any length then the mass passing across different sections shall be the same. This is in accordance with the principle of conservation of mass which states that matter can neither be created nor be destroyed.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Continuity Equation - Question 3

wo pipes of diameters d1 and d2 converge to form a pipe of diameter d. If the liquid flows with a velocity of v1 and v2 in the two pipes, what will be the flow velocity in the third pipe?

Detailed Solution for Test: Continuity Equation - Question 3

Explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions. Thus,

Test: Continuity Equation - Question 4

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy + cy2 and v = cxy. What should be the condition for the flow field to be continuous?

Test: Continuity Equation - Question 5

 Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation between d and D such that the flow velocity in the third pipe becomes double of that in each of the two pipes?

Detailed Solution for Test: Continuity Equation - Question 5

Explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions. Thus,
A1v1 + A2v2 = Av
d2v + d2v = D2v
D = d.

Test: Continuity Equation - Question 6

Two pipes, each of diameter d, converge to form a pipe of diameter D. What should be the relation between d and D such that the flow velocity in the third pipe becomes half of that in each of the two pipes?

Detailed Solution for Test: Continuity Equation - Question 6

Explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions. Thus,
A1v1 + A2v2 = Av
d2v + d2v = D2(v/2)
d = D ⁄ 2.

Test: Continuity Equation - Question 7

In a two dimensional flow, the component of the velocity along the X-axis is u = ax2 + bxy + cy2.
If v = 0 at y = 0, what will be the velocity component in the Y-direction? 

Detailed Solution for Test: Continuity Equation - Question 7

Explanation: According to the condition for continuity,


Test: Continuity Equation - Question 8

 In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy + cy2 and v = cxy. What should be the condition for the flow field to be continuous? 

Detailed Solution for Test: Continuity Equation - Question 8

Explanation: According to the condition for continuity,

2ax + cx = 0
2a + c = 0.

Test: Continuity Equation - Question 9

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = axy and v = bx2 + cy2. What should be the condition for the flow field to be continuous? 

Detailed Solution for Test: Continuity Equation - Question 9

Explanation: The condition for the flow field to be continuous is:

ay + 2cy = 0
a + 2c = 0.

Test: Continuity Equation - Question 10

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = cxy +dy2. What should be the condition for the flow field to be continuous? 

Detailed Solution for Test: Continuity Equation - Question 10

Explanation: The condition for the flow field to be continuous is:

2ax + cx + by + 2dy = 0
(2a + c)x + (b + 2d)y = 0.

Test: Continuity Equation - Question 11

In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = bxy + ay2. The condition for the flow field to be continuous is 

Detailed Solution for Test: Continuity Equation - Question 11

Explanation: The condition for the flow field to be continuous is:

2ax + by + 2ay + bx = 0
x + y = 0
Hence, the condition for the flow field to be continuous is independent of the constants (a; b) and dependent only on the variables (x; y).

Test: Continuity Equation - Question 12

In two dimensional flow the components of velocity are given by u = ax; v = by. The stream lines will be

Test: Continuity Equation - Question 13

 In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ay2 + bxy and v = ax2 + bxy. The flow will be continuous if 

Detailed Solution for Test: Continuity Equation - Question 13

Explanation: The condition for the flow field to be continuous is:

by + bx = 0
x + y = 0.

Test: Continuity Equation - Question 14

 In a two dimensional flow, the component of the velocity along the X-axis and the Y-axis are u = ax2 + bxy and v = bxy + ay2. The condition for the flow field to be continuous is 

Detailed Solution for Test: Continuity Equation - Question 14

Explanation: The condition for the flow field to be continuous is:

2ax + by + 2ay + bx = 0
x + y = 0
Hence, the condition for the flow field to be continuous is independent of a, b and c.

Test: Continuity Equation - Question 15

 In a water supply system, water flows in from pipes 1 and 2 and goes out from pipes 3 and 4 as shown. If all the pipes have the same diameter, which of the following must be correct?

Detailed Solution for Test: Continuity Equation - Question 15

Explanation: According to the Continuity Equation,

where a represents flow area, v represents flow velocity, i is for inlet conditions and o is for outlet conditions.
A1v1 + A2v2 = A3v3 + A4v4
Since d1 = d2 = d3 = d4, v1 + v2 = v3 + v4.

56 videos|104 docs|75 tests
Information about Test: Continuity Equation Page
In this test you can find the Exam questions for Test: Continuity Equation solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Continuity Equation, EduRev gives you an ample number of Online tests for practice

Top Courses for Mechanical Engineering

Download as PDF

Top Courses for Mechanical Engineering