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Which one of the following is correct?  
For incompressible flow a diverging section acts as a diffuser for upstream flow which is:
  • a)
    Subsonic only
  • b)
    Supersonic only
  • c)
    Both subsonic and supersonic
  • d)
    Sonic
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following is correct?For incompressible flow a diverg...
Ans. (c) For incompressible flow a diverging section acts as a diffuser for both
subsonic and supersonic. For compressible flow a diverging section acts as a diffuser for subsonic flow only.
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Most Upvoted Answer
Which one of the following is correct?For incompressible flow a diverg...
Explanation:
Incompressible flow refers to the flow of a fluid in which the density remains constant. In such flows, the velocity of the fluid changes as it passes through different sections of a flow system.


Diverging section:
A diverging section refers to a section of a flow system where the cross-sectional area increases. It is characterized by the fact that the flow velocity decreases as the cross-sectional area increases.

Diffuser:
A diffuser is a section of a flow system that is designed to slow down the flow velocity and increase the pressure of the fluid. It achieves this by gradually increasing the cross-sectional area of the flow path.


Effect of a diverging section on upstream flow:
When an incompressible flow passes through a diverging section, the flow velocity decreases as the cross-sectional area increases. This is because the mass flow rate remains constant for incompressible flow, and as the area increases, the velocity must decrease to maintain the same mass flow rate.

Subsonic and supersonic flow:
Subsonic flow refers to flow in which the fluid velocity is less than the speed of sound, while supersonic flow refers to flow in which the fluid velocity is greater than the speed of sound.

Effect of a diverging section on subsonic flow:
For subsonic flow, a diverging section acts as a diffuser. As the flow velocity decreases, the pressure of the fluid increases. This is because the decrease in velocity is accompanied by an increase in pressure according to Bernoulli's equation. Therefore, a diverging section acts as a diffuser for subsonic flow by increasing the pressure.

Effect of a diverging section on supersonic flow:
For supersonic flow, a diverging section also acts as a diffuser. However, in this case, the decrease in flow velocity is accompanied by a decrease in pressure. This is due to the fact that the flow properties change in a supersonic flow, and the pressure recovery occurs at different locations compared to subsonic flow. Nevertheless, the diverging section still acts as a diffuser by slowing down the flow and increasing the pressure.

Conclusion:
In summary, a diverging section acts as a diffuser for both subsonic and supersonic flow in incompressible fluid systems.
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Which one of the following is correct?For incompressible flow a diverging section acts as a diffuser for upstream flow which is:a)Subsonic onlyb)Supersonic onlyc)Both subsonic and supersonicd)SonicCorrect answer is option 'C'. Can you explain this answer?
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