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The volumetric flow rate (per unit depth) between two streamlines having stream functions 1 and 2 is
- 1 + 2
- 1 - 2
- 1 / 2
- 1 - 2
Correct answer: 1 - 2
Solution
The volumetric flow rate per unit depth between two streamlines is determined by the difference in their stream functions, which represents the flow potential. Therefore, the correct option is the difference between the two stream functions, 1 - 2.
Related GATE Engineering Mathematics questions
- A vector field p and a scalar field r are given by
p = (2x² - 3xy + z²) î + (2y² - 3yz + x²) ĵ + (2z² - 3xz + x²) k̂
r = 6x² + 4y² - z² - 9xyz - 2xy + 3xz - yz
Consider the statements P and Q.
P: Curl of the gradient of the scalar field r is a null vector.
Q: Divergence of curl of the vector field p is zero.
Which one of the following options is CORRECT?
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