Soil and Water Conservation Engineering · Fluid Mechanics · 2 marks · Multiple choice
A pipe constricts from .1 m to .05 m diameter. Pressure falls7.5 kPa. For ideal horizontal flow of density1000 kg/m³, find velocity in the .1 m section, in m/s.
Continuity gives $v_2=(.1/.05)^2v_1=4v_1$. Bernoulli gives $7500=1000(16v_1^2-v_1^2)/2=7500v_1^2$. Hence **v₁=1.0 m/s, B**. This uses negligible loss through the well-designed constriction.
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