Bernoulli's equation is conservation of

Options

A. Energy
B. Momentum
C. Angular momentum
D. Mass

Answer

To answer the question "Bernoulli's equation is conservation of what?", we can follow these steps:

### Step 1: Understand Bernoulli's Equation
Bernoulli's equation can be expressed as:
\[ \frac{1}{2} \rho V^2 + \rho g h + P = \text{constant} \]
where:
- \( \frac{1}{2} \rho V^2 \) is the kinetic energy per unit volume of the fluid,
- \( \rho g h \) is the potential energy per unit volume of the fluid (where \( h \) is the height above a reference level),
- \( P \) is the pressure energy per unit volume of the fluid.

### Step 2: Identify the Types of Energy
From the equation, we can identify three forms of energy:
1. Kinetic Energy (due to the velocity of the fluid),
2. Potential Energy (due to the height of the fluid),
3. Pressure Energy (due to the pressure exerted by the fluid).

### Step 3: Conservation Principle
Bernoulli's equation states that the sum of these three forms of energy remains constant along a streamline for an ideal fluid (which is incompressible and has no viscosity). This means that as one form of energy increases, at least one of the others must decrease to keep the total constant.

### Step 4: Conclusion
Thus, Bernoulli's equation represents the conservation of mechanical energy in a fluid flow.

### Final Answer
Bernoulli's equation is a statement of the conservation of mechanical energy in fluid dynamics.

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