National Champion Test - GATE 2018 ME : Fluid Mechanics for ESE & GATE ME Exams

Question 1

The centre of pressure of any submerged plane vertical surface is _______

Question 2

Which fluid property shows that the mercury does not wet the glass?

Question 3

The 2-D flow with velocity

is

Question 4

If x is the distance measured from the leading edge of a flat plate, the laminar boundary layer thickness varies as

Question 5

Couette flow is characterized by

Question 6

Stream line is defined as ______

Question 7

Which one of the following is NOT a rotating machine?

Question 8

A streamline and an equipotential line in a flow field

Question 9

A phenomenon is modeled using n dimensional variables with k primary dimensions. The number of non-dimensional variables is

Question 10

Match the following pairs:

Question 11

A wooden block of density 450 kg/m³ floats on the surface of a pool of stationary liquid water. Which of the following is a correct free body diagram for this situation, where F=buoyant force, N= normal force, and w = weight?

Question 12

A 60 mm-diameter water jet strikes a plate containing a hole of 40 mm diameter as shown in the figure. Part of the jet passes through the hole horizontally, and the remaining is deflected vertically. The density of water is 1000 kg/m³. If velocities are as indicated in the figure, the magnitude of horizontal force (in N) required to hold the plate is ______

Question 13

The properties of mercury at 300 K are : density = 13529 kg/m³, specific heat at constant pressure = 0.1393 kJ/kg-K, dynamic viscosity = 0.1523 × 10^–2 N.s/m² and thermal conductivity = 8.540 W/m-K. The Prandtl number of the mercury at 300 K is

Question 14

Match the following
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Question 15

The arrangement shown in the figure measures the velocity V of a gas of density 1 kg/m³ flowing through a pipe. The acceleration due to gravity is 9.81 m/s². If the manometric fluid is water (density 1000 kg/m³) and the velocity V is 20 m/s, the differential head h (in mm) between the two arms of the manometer is _____

Question 16

For a two-dimensional flow, the velocity field is

where i and j are the basis vectors in the x-y Cartesian coordinate system. Identify the CORRECT statements from below.
(1) The flow is incompressible.
(2) The flow is unsteady.
(3) y-component of acceleration,

(4) x-component of acceleration,

Question 17

Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500m. The volumetric flow rate is 0.2 m³/s. The head loss (in m) due to friction is (assume g = 9.81 m/s²)

Question 18

Air (ρ= 1.2 kg/m³ and kinematic viscosity. v = 2 × 10^-5m²/s) with a velocity of 2 m/s flows over the top surface of a flat plate of length 2.5 m. If the average value of friction coefficient is

, the total drag force (in N) per unit width of the plate is_______

Question 19

Figure shows the schematic for the measurement of velocity of air (density = 1.2 kg/m³) through a constant-area duct using a pitot tube and a water-tube manometer. The differential head of water (density = 1000 kg/m³) in the two columns of the manometer is 10 mm. Take acceleration due to gravity as 9.8 m/s². The velocity of air in m/s is
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Question 20

A Prandtl tube (Pitot-static tube with C_v=1) is used to measure the velocity of water. The differential manometer reading is 10 mm of liquid column with a relative density of 10. Assuming g = 9.8 m/s², the velocity or water (in m/s) is ________.