Find the Reynolds number (R) for liquids flowing through cylindrical pipe, wherein V is velocity of the liquid, ρ is density of the liquid, η is coefficient of viscosity of the liquid and D is diameter of the pipe.

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  1. R = V ρ D / η2
  2. R = V ρ D / η
  3. R = V / η ρ D 
  4. R = V D / η ρ 

Answer (Detailed Solution Below)

Option 2 : R = V ρ D / η
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Detailed Solution

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The correct answer is option 2):(R = V ρ D / η)

Concept:

  • Reynold's number: It is a pure number that determines the nature of the flow of liquid through a pipe. I
  • t is defined as the ratio of the inertial force per unit area to the viscous force per unit area for a flowing fluid.
  • Reynold's number is written as NR.
  • V is the velocity of the liquid, ρ is the density of the liquid, η is the coefficient of viscosity of the liquid and D is the diameter of the pipe.

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