Question 2 of 4 · Fluid Statics and Hydrostatic Forces · Intermediate · About 20 min

Compare pressures using a two-liquid gauge

Two horizontal transfer lines, A and B, carry the same liquid of density $850\,\mathrm{kg/m^3}$ and have taps at identical elevations. They connect to a U-tube containing a heavier immiscible manometric liquid of density $1300\,\mathrm{kg/m^3}$ . The interface on the B side stands $0.34 m$ higher than the interface on the A side. Determine and state which pipe has higher pressure. Use .

Differential U-tube between equal-height pipe taps with the right heavy-fluid interface higher. — Schematic, not to scale unless dimensions are given.

Given

Pipe-fluid density: 850 kg/m³
Manometric-fluid density: 1300 kg/m³
Interface height difference: 0.34 m
Both taps at equal elevation
Gravity: 9.81 m/s²

Find

Pressure difference p_A minus p_B
Which tap has greater pressure

Assumptions

Both liquids static within the gauge.
Capillary effects negligible.
Pipe-fluid density identical in both legs.

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Compare pressures using a two-liquid gauge

Given

Find

Assumptions

Worked solution