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Consider the following statements pertaining to isentropic flow:
1. To obtain stagnation enthalpy, the flow need not be decelerate disentropically but should be decelerated adiabatically.
2. The effect of friction in an adiabatic flow is to reduce the stagnation pressure and increase entropy.
3. A constant area tube with rough surfaces can be used as a subsonicnozzle.
Of these correct statements are:  
  • a)
    1, 2 and 3
  • b)
    1 and 2
  • c)
    1 and 3
  • d)
    2 and 3
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the following statements pertaining to isentropic flow:1. To ...
Ans. (d) To obtain stagnation enthalpy, the flow must be decelerated isentropically.
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Consider the following statements pertaining to isentropic flow:1. To ...
Statement 1: To obtain stagnation enthalpy, the flow need not be decelerated disentropically but should be decelerated adiabatically.
In an isentropic flow, the process is reversible and adiabatic, meaning there is no heat transfer and no energy loss. Stagnation enthalpy is the enthalpy of a fluid at a stagnation point, where the velocity is zero. To obtain stagnation enthalpy, the flow needs to be decelerated adiabatically, which means the decrease in velocity should occur without any energy loss. It is not necessary for the flow to decelerate disentropically, which would involve irreversible processes and energy losses. Therefore, statement 1 is correct.

Statement 2: The effect of friction in an adiabatic flow is to reduce the stagnation pressure and increase entropy.
Friction in an adiabatic flow causes energy losses in the form of heat, resulting in a decrease in stagnation pressure. This is because the work done by the fluid to overcome friction is converted into heat, reducing the total energy. Additionally, friction also leads to an increase in entropy, which is a measure of the disorder of a system. The energy losses due to friction increase the disorder in the flow, resulting in an increase in entropy. Therefore, statement 2 is correct.

Statement 3: A constant area tube with rough surfaces can be used as a subsonic nozzle.
In subsonic flow, the flow velocity is less than the speed of sound. A nozzle is a device used to accelerate the flow by decreasing the cross-sectional area. In subsonic flow, a converging-diverging nozzle is typically used to accelerate the flow to supersonic velocities. A constant area tube with rough surfaces would not provide the necessary acceleration and expansion required for a subsonic flow to reach supersonic velocities. The rough surfaces would cause friction, energy losses, and disruption in the flow, resulting in inefficient acceleration. Therefore, statement 3 is incorrect.

Conclusion:
From the analysis of each statement, we can conclude that the correct statements are:

- Statement 1: To obtain stagnation enthalpy, the flow need not be decelerated disentropically but should be decelerated adiabatically.
- Statement 2: The effect of friction in an adiabatic flow is to reduce the stagnation pressure and increase entropy.

Therefore, the correct answer is option 'D' - 2 and 3.
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Consider the following statements pertaining to isentropic flow:1. To obtain stagnation enthalpy, the flow need not be decelerate disentropically but should be decelerated adiabatically.2. The effect of friction in an adiabatic flow is to reduce the stagnation pressure and increase entropy.3. A constant area tube with rough surfaces can be used as a subsonicnozzle.Of these correct statements are:a)1, 2 and 3b)1 and 2c)1 and 3d)2 and 3Correct answer is option 'D'. Can you explain this answer?
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