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← ScienceWhich outcome results when using the Bernoulli equation to model fluid flow in a pipe with significant wall roughness?
A)Overestimation of the actual flow rate✓
B)Accurate prediction of pressure drop
C)Reduced impact of turbulent kinetic energy
D)Underestimation of the average velocity
💡 Explanation
The flow rate is overestimated because the Bernoulli equation assumes inviscid flow, but rough walls introduce significant friction. This frictional resistance induces viscous losses via viscous boundary layers; therefore, the ideal pressure drop at a consistent volumetric flow rate will overestimate the actual flow rate rather than match it.
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