Chemegate

GATE 2024 Chemical Engineering, Q60 · Fluid Mechanics

The correct answer is 4.

Question

A Venturi meter with a throat diameter d = 2 cm measures the flow rate in a pipe of diameter D = 6 cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled, Q2 = 2Q1, the corresponding ratio of the manometer readings Δh2/Δh1,\Delta h2/\Delta h1, rounded off to the nearest integer, is _______

Figure for Q60 (Fluid Mechanics, Venturi Meter): A Venturi meter with a throat diameter d = 2 cm measures the flow rate in a pipe of diameter D = 6 c…

Official answer: 4

Why

GATE 2024 official key: 4. For a Venturi meter, Q Δh,\propto \sqrt{\Delta h}, so ΔhQ2.\Delta h \propto Q². Doubling Q gives Δh2/Δh1=22=4.\Delta h2/\Delta h1 = 2² = 4.

Explanation cross-checked for consistency. Final answer matches the official IIT answer key.