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GATE ME 2022: Fluid Mechanics

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Question 1

Air flows over a 10 m long plate. The transition from laminar to turbulent flow takes place between Reynolds number of 2.5 × 10and 3.6 × 106. What is the maximum distance from the front edge of the plate along which one can expect laminar flow in the boundary layer? The free stream velocity is 30 m/s and kinematic viscosity (ν)= 1.5 ×10-5 m2/s.

Question 2

The Euler number E is written as

Question 3

A tapering pipe has diameter of 25 cm at point 1 (elevation 25 m) and diameter of 35 cm at point 2 (elevation 20 m). The pressure at point 1 is 120 kPa and point 2 is 172.45 kPa for a discharge of 0.2 m3/s of water. The kinetic energy correction factors and for sections 1 and 2 are 1.1 and 1.5 respectively. The loss of head through the pipe will be

Question 4

An orifice meter having an orifice diameter 0.1 m is fitted in a horizontal pipe of 0.2 m diameter. The pressure gauges read 196.2kN/m2 upstream and 98.1kN/m2 downstream of orifice meter. If the discharge through the pipe is 73.8×10-3m3/ sec of water, the coefficient of discharge is

Question 5

A pelton wheel develops a power of 2MW working with an efficiency of 84% and a net head of 280m. Calculate the net torque (kN-m) developed at the shaft if the jet ratio = 14, speed ratio = 0.44 and nozzle coefficient = 0.96_________kN-m

Question 6

The pressure gauges G1 and G2 installed on the system show pressures of PG1 = 5.00 bar and PG2=1.00 bar. The value of unknown pressure P is (Atmospheric pressure = 1.01 bar)
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