GATE Exam > GATE Questions > The velocity potential function in a two dim...
Start Learning for Free
The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) is
- a)zero
- b)2
- c)2√2
- d)8
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The velocity potential function in a two dimensional flow field is gi...
Most Upvoted Answer
The velocity potential function in a two dimensional flow field is gi...
Calculation of Velocity Potential Function
Given:
The velocity potential function in a two-dimensional flow field is given by ∅=x2-y2.
To Find:
The magnitude of velocity at point (1, 1).
Solution:
Step 1: Calculation of Velocity Components
The velocity components can be calculated as follows:
Vx = ∂∅/∂x = 2x
Vy = -∂∅/∂y = 2y
Step 2: Calculation of Velocity Magnitude
The magnitude of the velocity can be calculated as follows:
V = √(Vx^2 + Vy^2)
Substituting the values of Vx and Vy, we get:
V = √(4x^2 + 4y^2)
At point (1,1), the magnitude of velocity can be calculated as follows:
V = √(4(1)^2 + 4(1)^2)
V = 2√2
Therefore, the magnitude of velocity at point (1, 1) is 2√2, which is option C.
Given:
The velocity potential function in a two-dimensional flow field is given by ∅=x2-y2.
To Find:
The magnitude of velocity at point (1, 1).
Solution:
Step 1: Calculation of Velocity Components
The velocity components can be calculated as follows:
Vx = ∂∅/∂x = 2x
Vy = -∂∅/∂y = 2y
Step 2: Calculation of Velocity Magnitude
The magnitude of the velocity can be calculated as follows:
V = √(Vx^2 + Vy^2)
Substituting the values of Vx and Vy, we get:
V = √(4x^2 + 4y^2)
At point (1,1), the magnitude of velocity can be calculated as follows:
V = √(4(1)^2 + 4(1)^2)
V = 2√2
Therefore, the magnitude of velocity at point (1, 1) is 2√2, which is option C.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. 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 The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer?.
The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. 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 The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. 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 The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The velocity potential function in a two dimensional flow field is given by ∅=x2-y2. The magnitude of velocity at point (1, 1) isa)zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup