GATE (CE) 2021: FLUID MECHANICS QUIZ # 13 (App update required to attempt this test)

Statement (I): In turbulent flow in pipes, velocity gradient is less near the center of the pipe.

Statement (II): For Reynold’s number less than 4000, velocity profile for pipe flow is always parabolic.

An open cubical tank of 2 m side is filled with water. If the tank is accelerated horizontally with an acceleration such that half of the water spills out, then the acceleration is equal to ---- (in m/s²)

Flow measurement with a prandtl – pitot tube showed that the tip readings varied only across the flow while the side opening reading varied only in the direction of flow. The type of flow is

The head on a sharp-crested rectangular weir of height 2 m and crest length 1.1 m was incorrectly observed to be 0.14 when it was actually 0.17 m. What was the percentage error in the computed value of flow rate?

A pressure gauge fitted on the side of a tank filled with liquid reads 40 kPa and 80 kPa at heights of 9 m and 4 m. Then approximate density of the liquid (in kg/m³)

A rectangular channel 3 m wide carries 7 m³/s flow at a depth of 0.40 m. What is the height of a flat topped hump required to be placed at a section to cause critical flow? (The energy loss due to obstruction by the hump can be taken as 0.1 times the upstream velocity head.)

The boundary layer thickness at a distance X₁ from leading edge of plate is 5 mm when a fluid flows past a flat very long plate. If boundary layer is laminar then boundary layer thickness at distance 9X₁ from leading edge will be

In a laminar boundary layer over a flat plate the ratio of shear stresses and at two sections 1 and 2 ,at distances from the leading edge such that =, is

A model of an air duct operating with water produces a pressure drop of 20 kN/m² over 20 m length. If the scale ratio is 1/60, = 1000 kg/m³ , = 1.2 kg/m³, = 0.001 N-s/m² and = 0.00002 N-s/m², the corresponding drop in a 30 m long air duct will be