Question:
Bernoulli’s equation \( \frac{p}{\gamma} + \frac{V^2}{2g} + z = \text{constant} \) is valid for:
A. Incompressible flow
B. Steady flow
C. Viscous flow
D. Flow along a streamline
E. Rotational flow
Bernoulli’s equation \( \frac{p}{\gamma} + \frac{V^2}{2g} + z = \text{constant} \) is valid for:
A. Incompressible flow
B. Steady flow
C. Viscous flow
D. Flow along a streamline
E. Rotational flow
B. Steady flow
C. Viscous flow
D. Flow along a streamline
E. Rotational flow
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Bernoulli = steady + incompressible + inviscid + along streamline.
Updated On: May 22, 2026
- A, B and E only
- A, B and D only
- A, C and D only
- A, B and C only
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The Correct Option is B
Solution and Explanation
Concept:
Bernoulli equation is derived from energy conservation for fluid flow under assumptions.
Step 1: Fundamental assumptions.
• Flow is steady
• Fluid is incompressible
• Flow is inviscid (no friction losses)
• Valid along a streamline
Step 2: Analyze A (Incompressible).
Required assumption → correct.
Step 3: Analyze B (Steady flow).
Required assumption → correct.
Step 4: Analyze C (Viscous flow).
Viscosity introduces energy losses → violates Bernoulli.
Hence incorrect.
Step 5: Analyze D (Streamline).
Equation applies along a streamline → correct.
Step 6: Analyze E (Rotational flow).
For rotational flow:
• Bernoulli not valid everywhere, only along streamline Hence generally incorrect.
Step 7: Final conclusion.
Correct: A, B, D. \[ \boxed{\text{Answer: A, B and D only}} \]
Step 1: Fundamental assumptions.
• Flow is steady
• Fluid is incompressible
• Flow is inviscid (no friction losses)
• Valid along a streamline
Step 2: Analyze A (Incompressible).
Required assumption → correct.
Step 3: Analyze B (Steady flow).
Required assumption → correct.
Step 4: Analyze C (Viscous flow).
Viscosity introduces energy losses → violates Bernoulli.
Hence incorrect.
Step 5: Analyze D (Streamline).
Equation applies along a streamline → correct.
Step 6: Analyze E (Rotational flow).
For rotational flow:
• Bernoulli not valid everywhere, only along streamline Hence generally incorrect.
Step 7: Final conclusion.
Correct: A, B, D. \[ \boxed{\text{Answer: A, B and D only}} \]
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