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The velocity potential function is given by ϕ = 2(x2 - y2). The velocity component at the point (-1, 4) will respectively be
- a)10 unit and 40 unit
- b)5 units and 20 units
- c)4 units and 16 units
- d)3 units and 12 units
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The velocity potential function is given by ϕ = 2(x2- y2). The ve...
Given:
Velocity component can be written as
Velocity component can be written as
Therefore, the velocity component will be
u = 4 units
v = 16 units
Most Upvoted Answer
The velocity potential function is given by ϕ = 2(x2- y2). The ve...
Explanation:
The velocity potential function is given by Φ = 2(x^2 - y^2).
Velocity components:
The velocity components can be found using the following relations:
u = ∂Φ/∂x and v = -∂Φ/∂y, where u is the velocity component in the x-direction and v is the velocity component in the y-direction.
Partial derivatives:
Taking partial derivatives of Φ with respect to x and y, we get:
∂Φ/∂x = 4x and ∂Φ/∂y = -4y
Velocity components at (-1, 4):
Substituting x = -1 and y = 4, we get:
u = 4(-1) = -4 units
v = -4(4) = -16 units
Final answer:
Therefore, the velocity components at the point (-1, 4) are -4 units in the x-direction and -16 units in the y-direction. The correct answer is option C, i.e., 4 units and 16 units.
The velocity potential function is given by Φ = 2(x^2 - y^2).
Velocity components:
The velocity components can be found using the following relations:
u = ∂Φ/∂x and v = -∂Φ/∂y, where u is the velocity component in the x-direction and v is the velocity component in the y-direction.
Partial derivatives:
Taking partial derivatives of Φ with respect to x and y, we get:
∂Φ/∂x = 4x and ∂Φ/∂y = -4y
Velocity components at (-1, 4):
Substituting x = -1 and y = 4, we get:
u = 4(-1) = -4 units
v = -4(4) = -16 units
Final answer:
Therefore, the velocity components at the point (-1, 4) are -4 units in the x-direction and -16 units in the y-direction. The correct answer is option C, i.e., 4 units and 16 units.
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The velocity potential function is given by ϕ = 2(x2- y2). The velocity component at the point (-1, 4) will respectively bea)10 unit and 40 unitb)5 units and 20 unitsc)4 units and 16 unitsd)3 units and 12 unitsCorrect answer is option 'C'. Can you explain this answer?
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