Q1: Each term in Bernaulli's equation represents the __________ of the fluid.

ANS:B - energy per unit weight

Each term in Bernoulli's equation represents the energy per unit mass of the fluid.

Explanation:

1. Bernoulli's Equation:
   • Bernoulli's equation is a fundamental principle in fluid dynamics that describes the conservation of energy along a streamline in a steady flow of an incompressible, inviscid fluid. It is expressed as: P+12ρv2+ρgh=constantP + \frac{1}{2} \rho v^2 + \rho gh = \text{constant}P+21​ρv2+ρgh=constant where:
     • PPP is the pressure of the fluid,
     • ρ\rhoρ is the density of the fluid,
     • vvv is the velocity of the fluid,
     • ggg is the acceleration due to gravity,
     • hhh is the height above a reference point.
2. Energy Interpretation:
   • Each term in Bernoulli's equation can be interpreted as a specific form of energy per unit mass of the fluid:
     • PPP: Pressure energy per unit mass.
     • 12ρv2\frac{1}{2} \rho v^221​ρv2: Kinetic energy per unit mass.
     • ρgh\rho ghρgh: Potential energy per unit mass (gravitational potential energy).
3. Units and Interpretation:
   • The terms in Bernoulli's equation are expressed in terms of energy per unit mass of the fluid, not per unit weight or force per unit mass.
   • Energy per unit weight would consider the gravitational force acting on the fluid, which is not explicitly represented in Bernoulli's equation since it assumes incompressible, inviscid flow.
4. Conclusion:
   • Therefore, each term in Bernoulli's equation represents the energy per unit mass of the fluid. This interpretation helps in understanding how pressure, velocity, and elevation affect the total energy of the fluid along a streamline in steady flow conditions.