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Consider the following statements pertaining to one-dimensional isentropic flow in a convergent-divergent passage  
1. A convergent-divergent passage may function as a supersonicnozzle or a venturi depending on the back pressure.
2. At the throat, sonic conditions exits for subsonic or supersonic flowat the outlet.
3. A supersonic nozzle discharges fluid at constant rate even if the exit pressure is lower than the design pressure.
4. A normal shock appears in the diverging section of the nozzle if the back pressure is above the design pressure but below a certain minimum pressure for venturi operation.
Which of these statements are correct?
  • a)
    1, 2, 3 and 4
  • b)
    1, 3 and 4
  • c)
    2, 3 and 4
  • d)
    1 and 2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the following statements pertaining to one-dimensional isentr...
Ans. (a) At the throat, sonic conditions not exits for subsonic flow when it is venture.
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Consider the following statements pertaining to one-dimensional isentr...
Understanding One-Dimensional Isentropic Flow
One-dimensional isentropic flow in a convergent-divergent passage is a fundamental concept in fluid dynamics, particularly in nozzle design and operation. Let’s analyze each statement to clarify why the correct answer is option 'A'.

Statement 1: Convergent-Divergent Passage Functionality
- A convergent-divergent passage can indeed function as either a supersonic nozzle or a venturi, depending on the back pressure.
- **Key Point:** The flow regime (subsonic or supersonic) is influenced by the relationship between the exit pressure and the critical pressure at the throat.

Statement 2: Sonic Conditions at the Throat
- At the throat of a convergent-divergent nozzle, sonic conditions (Mach number = 1) exist. This is true for both subsonic and supersonic flows at the outlet.
- **Key Point:** The behavior of the flow changes depending on the outlet conditions relative to the throat.

Statement 3: Constant Rate Discharge in Supersonic Nozzles
- A supersonic nozzle can maintain a constant discharge rate even when the exit pressure falls below the design pressure.
- **Key Point:** This occurs due to the ability of the nozzle to adjust to varying pressures while still delivering a consistent mass flow rate.

Statement 4: Appearance of Normal Shock
- If the back pressure is above the design pressure but below a certain minimum for venturi operation, a normal shock can indeed form in the diverging section of the nozzle.
- **Key Point:** This normal shock compresses the flow, causing a transition from supersonic to subsonic conditions.

Conclusion
All statements (1, 2, 3, and 4) are correct, confirming that the answer is option 'A'. Understanding these principles is crucial for the effective design and analysis of fluid systems in mechanical engineering.
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Consider the following statements pertaining to one-dimensional isentropic flow in a convergent-divergent passage1. A convergent-divergent passage may function as a supersonicnozzle or a venturi depending on the back pressure.2. At the throat, sonic conditions exits for subsonic or supersonic flowat the outlet.3. A supersonic nozzle discharges fluid at constant rate even if the exit pressure is lower than the design pressure.4. A normal shock appears in the diverging section of the nozzle if the back pressure is above the design pressure but below a certain minimum pressure for venturi operation.Which of these statements are correct?a)1, 2, 3 and 4b)1, 3 and 4c)2, 3 and 4d)1 and 2Correct answer is option 'A'. Can you explain this answer?
Question Description
Consider the following statements pertaining to one-dimensional isentropic flow in a convergent-divergent passage1. A convergent-divergent passage may function as a supersonicnozzle or a venturi depending on the back pressure.2. At the throat, sonic conditions exits for subsonic or supersonic flowat the outlet.3. A supersonic nozzle discharges fluid at constant rate even if the exit pressure is lower than the design pressure.4. A normal shock appears in the diverging section of the nozzle if the back pressure is above the design pressure but below a certain minimum pressure for venturi operation.Which of these statements are correct?a)1, 2, 3 and 4b)1, 3 and 4c)2, 3 and 4d)1 and 2Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following statements pertaining to one-dimensional isentropic flow in a convergent-divergent passage1. A convergent-divergent passage may function as a supersonicnozzle or a venturi depending on the back pressure.2. At the throat, sonic conditions exits for subsonic or supersonic flowat the outlet.3. A supersonic nozzle discharges fluid at constant rate even if the exit pressure is lower than the design pressure.4. A normal shock appears in the diverging section of the nozzle if the back pressure is above the design pressure but below a certain minimum pressure for venturi operation.Which of these statements are correct?a)1, 2, 3 and 4b)1, 3 and 4c)2, 3 and 4d)1 and 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements pertaining to one-dimensional isentropic flow in a convergent-divergent passage1. A convergent-divergent passage may function as a supersonicnozzle or a venturi depending on the back pressure.2. At the throat, sonic conditions exits for subsonic or supersonic flowat the outlet.3. A supersonic nozzle discharges fluid at constant rate even if the exit pressure is lower than the design pressure.4. A normal shock appears in the diverging section of the nozzle if the back pressure is above the design pressure but below a certain minimum pressure for venturi operation.Which of these statements are correct?a)1, 2, 3 and 4b)1, 3 and 4c)2, 3 and 4d)1 and 2Correct answer is option 'A'. Can you explain this answer?.
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