GATE XE (Engineering Sciences) 2025 - Question 26

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Section: Fluid Mechanics | Marks: 1

For a steady and incompressible flow, the velocity field (𝑉⃗ ) in Cartesian (π‘₯, 𝑦, 𝑧) coordinate system is given as: 𝑉⃗ = 5π‘₯π‘–βˆ’π‘ƒπ‘¦π‘—+ 3π‘˜ Here, 𝑖, 𝑗, and π‘˜ are unit vectors along x, y, and z directions, respectively and 𝑃 is a constant. Which one of the following options is the correct value of 𝑃 that satisfies the conservation of mass for the given velocity field?

  • A. 5
  • B. βˆ’5
  • C. 8
  • D. 2

Answer: A. 5

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