The correct expression for Reynold's number is

  1. ρVD/μ 
  2. ρVμ/D
  3. ρ2V2D2/μ 
  4. ρVDμ 

Answer (Detailed Solution Below)

Option 1 : ρVD/μ 
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Detailed Solution

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The correct answer is option 1) i.e. ρVD/μ.

CONCEPT:

  • Streamline flow: In fluids the flow in which the fluids flow in parallel layers such that there is no intermixing of the layers and also, the velocity of each fluid particle at a given point passing by remains constant with time is known as Streamline Flow.
  • Reynold's number: The ratio of fluid's inertial force and its viscous force is called Reynolds number. 
  • Mathematically Reynolds number is given by:

where R is Reynolds number, ρ is the fluid density,v is the velocity, D is the diameter of the pipe, μ is the viscosity of the fluid.

EXPLANATION:

  • Mathematically Reynolds number is given by:

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