A mercury manometer (ρ = 13,600 kg/m3) - Mechanical Engineering

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A mercury manometer (ρ = 13,600 kg/m3) is connected to an air duct to measure the pressure inside. The difference in the manometer levels is 15 mm, and the atmospheric pressure is 100 kPa. (a) Judging from Fig. P2-56, determine if the pressure in the duct is above or below the atmospheric pressure. (b) Determine the absolute pressure in the duct.

FIGURE P2–56

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Step 1

Draw the diagram of the Mercury manometer.

Step 2

(a)

From the figure, it can be observed that, the pressure acting in the left limb of the manometer is pressure inside the air duct and the pressure acting on the right limb of the manometer is atmospheric pressure only. Since, the mercury column in the left limb of the manometer is less than that of the right limb so, the pressure in the air duct is above the atmospheric pressure, which pushes the mercury from the left limb to the right limb of the manometer.

Step 3

(b)

Calculate the absolute pressure in the duct as follows:

Here, is the absolute pressure in the duct, is the density of the manometric fluid, g is the acceleration due to gravity, and h is the difference in the manometric levels.