GATE XE (Engineering Sciences) 2025 - Question 29

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Section: Fluid Mechanics | Marks: 1

Consider the steady, incompressible, and fully developed laminar flow of a fluid through a circular pipe. Here, βˆ†π‘ƒ is the pressure drop in the direction of the flow and 𝑉 is the average axial velocity of the fluid at any cross-section. The relation between βˆ†π‘ƒ and 𝑉 is: βˆ†π‘ƒ= 𝐾 𝑉𝑛 Here, 𝐾 and 𝑛 are constants. Which one of the following options is the correct value of 𝑛?

  • A. 1
  • B. 2
  • C. 1.75
  • D. 0.5

Answer: A. 1

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