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Which of following conditions would entail a greater energy dissipation in turbulent flow?

1. Smaller eddy size

2. Lower viscosity

3. Large intensity of turbulence


Select the correct answer using the codes given below:

  • a)
    1 and 3

  • b)
    1, 2 and 3

  • c)
    2 and 3

  • d)
    1 and 2

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of following conditions would entail a greater energy dissipatio...
Explanation:



1. Smaller eddy size: Turbulent flow consists of swirling vortices or "eddies". The smaller the eddy, the higher the rate of energy dissipation. This is because smaller eddies have a higher surface area to volume ratio, leading to higher friction and thus more energy dissipation.



2. Lower viscosity: Viscosity is a measure of a fluid's resistance to shear or flow. Lower viscosity means less resistance to flow, allowing for more turbulence and thus more energy dissipation.



3. Large intensity of turbulence: The greater the turbulence, the more energy is dissipated. Turbulence involves the random and chaotic motion of fluid particles, which leads to a high rate of energy dissipation.



So, all these factors - smaller eddy size, lower viscosity, and large intensity of turbulence - would entail a greater energy dissipation in turbulent flow.
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Most Upvoted Answer
Which of following conditions would entail a greater energy dissipatio...
Explanation:
Turbulent flow is characterized by irregular fluctuations and eddies of various sizes. When fluid particles move in turbulent flow, they transfer momentum and energy to each other, causing the dissipation of energy. The dissipation rate of energy in a turbulent flow depends on several factors, including the eddy size, viscosity, and intensity of turbulence.

Smaller eddy size:
- In turbulent flow, energy is dissipated at the smallest scales of motion, which are associated with the smallest eddies.
- Smaller eddies have higher velocities and shorter lifetimes, which leads to faster dissipation of energy.
- Therefore, smaller eddies would entail a greater energy dissipation in turbulent flow.

Lower viscosity:
- Viscosity is a measure of a fluid's resistance to deformation.
- In turbulent flow, viscosity plays a role in the dissipation of energy by converting kinetic energy into heat.
- Lower viscosity fluids have less resistance to deformation, which results in faster dissipation of energy.
- Therefore, lower viscosity would entail a greater energy dissipation in turbulent flow.

Large intensity of turbulence:
- Intensity of turbulence refers to the amount of energy contained in the turbulent fluctuations.
- Higher intensity of turbulence means that there is more energy available for dissipation.
- Therefore, large intensity of turbulence would entail a greater energy dissipation in turbulent flow.

Conclusion:
- From the above discussion, it can be concluded that options 1 and 3 (smaller eddy size and large intensity of turbulence) would entail a greater energy dissipation in turbulent flow.
- Option 2 (lower viscosity) would not entail a greater energy dissipation, as lower viscosity fluids have less resistance to deformation, which results in faster dissipation of energy.
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