For steady, ideal fluid flow, Bernoulli’s equation establishes that_________________?
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Answer: C. Energy is constant along a stream line, but may vary across stream lines
Explanation
Bernoulli equation is derived by integrating the equation of motion for inviscid fluids. Frictionless flow ensures mechanical energy is conserved along individual fluid streamlines. Energy levels can differ between separate streamlines depending on initial flow conditions. Streamlines are curves tangent to instantaneous fluid velocity vectors. Ideal fluid flow assumes zero viscosity and negligible thermal conduction effects. Total mechanical energy comprises pressure, kinetic, and potential energy heads.
Aerodynamic lift calculations on aircraft wings rely on streamline energy conservation principles. Hydraulic channel flow analysis uses Bernoulli principles to estimate water surface profiles. Flow metering devices utilize streamline energy balances to calculate discharge rates. Constant velocity along a streamline violates continuity when flow area changes. Uniform energy throughout the entire fluid requires irrotational flow conditions. Stating none of these is wrong because streamline energy conservation is correct.
- Subject
- Engineering
- Category
- Chemical Engineering
- Topic
- —
- Difficulty
- medium
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