Fluid Mechanics seventh edition by Frank M. White · Problem 2.42

Pressure Distribution in a Fluid — Frank M. White

Physics — Fluid Mechanics · manometers-multiple-fluids

Problem

Very small pressure differences pA−pBp_A - p_B can be measured accurately by the two-fluid differential manometer in Fig. P2.42. Density ρ2\rho_2 is only slightly larger than that of the upper fluid ρ1\rho_1. Derive an expression for the proportionality between hh and pA−pBp_A - p_B if the reservoirs are very large.

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