Bernoulli's equation for steady, non-viscous, imcompressible flow expresses the

Options

A. 1. conservation of linear momentum
B. 2. conservation of angular momentum
C. 3. conservation of energy
D. 4. conservation of mass

Answer

To solve the question regarding Bernoulli's equation for steady, non-viscous, incompressible flow, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Bernoulli's Equation**:
- Bernoulli's equation states that for a steady, non-viscous, incompressible flow, the total mechanical energy along a streamline is conserved. This can be expressed mathematically as:
\[ P + \frac{1}{2} \rho v^2 + \rho gh = \text{constant} \]
where:
- \( P \) = pressure energy per unit volume,
- \( \rho \) = density of the fluid,
- \( v \) = velocity of the fluid,
- \( g \) = acceleration due to gravity,
- \( h \) = height above a reference level.

2. **Components of Bernoulli's Equation**:
- The equation consists of three main components:
- **Pressure Energy**: \( P \)
- **Kinetic Energy**: \( \frac{1}{2} \rho v^2 \)
- **Potential Energy**: \( \rho gh \)

3. **Conservation of Energy**:
- The key concept behind Bernoulli's equation is the conservation of energy. It indicates that the sum of pressure energy, kinetic energy, and potential energy remains constant along a streamline in a fluid flow.

4. **Eliminating Incorrect Options**:
- The question may provide options related to conservation laws. Since Bernoulli's principle is fundamentally about energy conservation, any options suggesting conservation of momentum or mass would be incorrect.

5. **Conclusion**:
- Therefore, the correct expression of Bernoulli's theorem for steady, non-viscous, incompressible flow is that it expresses the **conservation of energy**.

### Final Answer:
Bernoulli's equation for steady, non-viscous, incompressible flow expresses the **conservation of energy**.

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