Fluid Mechanics seventh edition by Frank M. White · Problem 2.34

Pressure Distribution in a Fluid — Frank M. White

Physics — Fluid Mechanics · manometers-multiple-fluids

Problem

Sometimes manometer dimensions have a significant effect. In Fig. P2.34 containers (a)(a) and (b)(b) are cylindrical and conditions are such that pa=pbp_a = p_b. Derive a formula for the pressure difference pa−pbp_a - p_b when the oil–water interface on the right rises a distance Δh<h\Delta h < h, for (a)(a) d≪Dd \ll D and (b)(b) d=0.15Dd = 0.15D. What is the percentage change in the value of Δp\Delta p?

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