Which of the following parameter of fluid flow does not effect its Reynold's Number ?

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MPPSC AE Mechanical Official Paper (Held on 3 July 2022)
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  1. Density of fluid 
  2. Mean fluid velocity 
  3. Temperature of fluid
  4. Characteristics dimension of fluid flow cross-section

Answer (Detailed Solution Below)

Option 3 : Temperature of fluid
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Detailed Solution

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Explanation:

  • Reynolds number is a dimensionless formula that is used to differentiate laminar flow from turbulent flow.
  • Reynolds number is given by,

​​ 

Where, ρ = Density of fluid, V = Mean velocity of fluid, L = Characteristic length, μ = Dynamic viscosity of the fluid

  • As per definition, Re does not dependent on the temperature of the fluid flow so it does not affect Reynold's Number hence option 3 will be the right answer.

In the case of pipe flow,

Additional Information

For the flow through pipe,

  • If Re ≤ 2000 then flow is laminar
  • 2000 ≤ Re ≤ 4000 then flow is transitional
  • Re ≥ 4000 then flow is turbulent

So, at low velocity and higher viscosity will result in a lower value of Re number.

The low value of the Reynolds number shows laminar flow.

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