GATE Exam > GATE Questions > For a two dimensional flow field, the stream...
Start Learning for Free
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:
- a)6
- b)3
- c)1.5
- d)2
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
For a two dimensional flow field, the stream function Y is given as Ψ...
Given, Ψ = 3/2(y2−x2) and points (0, 3) and (3, 4)
View all questions of this test
So, Q = ψ1 − ψ2
= 5/2(9−0) − 3/2(16−9)
= 3 units.
Most Upvoted Answer
For a two dimensional flow field, the stream function Y is given as Ψ...
To find the magnitude of discharge between the streamlines passing through points (0, 3) and (3, 4), we need to calculate the difference in stream function values at these two points.
Given stream function Ψ = 3/2(y^2−x^2)
1. Calculating Ψ at (0, 3):
- Substitute x = 0 and y = 3 into the stream function equation:
Ψ = 3/2(3^2 − 0^2)
Ψ = 3/2(9 - 0)
Ψ = 3/2(9)
Ψ = 27/2
2. Calculating Ψ at (3, 4):
- Substitute x = 3 and y = 4 into the stream function equation:
Ψ = 3/2(4^2 − 3^2)
Ψ = 3/2(16 - 9)
Ψ = 3/2(7)
Ψ = 21/2
3. Calculating the difference in stream function values:
Difference in Ψ = Ψ2 - Ψ1
Difference in Ψ = 21/2 - 27/2
Difference in Ψ = -6/2
Difference in Ψ = -3
The magnitude of discharge is the absolute value of the difference in stream function values. Therefore, the magnitude of discharge between the streamlines passing through points (0, 3) and (3, 4) is 3, which corresponds to option B.
Given stream function Ψ = 3/2(y^2−x^2)
1. Calculating Ψ at (0, 3):
- Substitute x = 0 and y = 3 into the stream function equation:
Ψ = 3/2(3^2 − 0^2)
Ψ = 3/2(9 - 0)
Ψ = 3/2(9)
Ψ = 27/2
2. Calculating Ψ at (3, 4):
- Substitute x = 3 and y = 4 into the stream function equation:
Ψ = 3/2(4^2 − 3^2)
Ψ = 3/2(16 - 9)
Ψ = 3/2(7)
Ψ = 21/2
3. Calculating the difference in stream function values:
Difference in Ψ = Ψ2 - Ψ1
Difference in Ψ = 21/2 - 27/2
Difference in Ψ = -6/2
Difference in Ψ = -3
The magnitude of discharge is the absolute value of the difference in stream function values. Therefore, the magnitude of discharge between the streamlines passing through points (0, 3) and (3, 4) is 3, which corresponds to option B.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer?
Question Description
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer?.
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer?.
Solutions for For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For a two dimensional flow field, the stream function Y is given as Ψ = 3/2(y2−x2). The magnitude of discharge occurring between the streamlines passing through points (0, 3) and (3, 4) is:a)6b)3c)1.5d)2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup