Tuesday, February 2, 2021

GATE Chemical Engineering Questions and Answers-Fluid Mechanics

The height of a fluidized bed at incipient fluidization is 0.075 m, and the corresponding voidage is 0.38. If the voidage of the bed increases to 0.5, then the height of the bed would be

(A)             0.058 m

(B)              0.061 m

(C)              0.075 m

(D)             0.093 m

                                                                                                      GATE 2010

Answer:          (D)

 

GATE 2010

A storage vessel exposed to atmosphere (absolute pressure= 10.3 m of water) has a diameter of 3 m and is initially filled with water to a height of 2 m. The pump draws water from the vessel and is located at an elevation of 5 m above the bottom of the vessel. The frictional head loss in the suction pipe is 2 m of water. If the vapour pressure of the liquid at the temperature of operation is 3 m of water, then the available NPSH is

(A)             2.3 m

(B)              5.3 m

(C)              6.3 m

(D)             8.3 m

                                                                                                      GATE 2010

Answer:          (A)

 

In Hagen-Poiseuille flow through a cylindrical tube, the radial profile of shear stress is

(A)             Constant

(B)              Cubic

(C)              Parabolic

(D)             linear

                                                                                                      GATE 2010

Answer:          (D)

 

The stream function in a xy-plane is given below

Ψ = 1/2x2y3

The velocity vector for this stream function is

GATE 2010

                                                                                                GATE 2010

Answer:          (B)

 

A hydrometer, with stem cross-sectional area of 2.82×103 m2 is immersed in a very large vessel containing water as shown in the figure. The immersed volume is 15×10-6 m3 and the length of the stem above water surface is Lw. If the entire volume of water is replaced by a liquid with specific gravity 1.5 and if the length of the stem above the liquid surface is Ll, then the difference, Ll - Lw is

GATE 2010

(A)             -177 mm

(B)              177 mm

(C)              -266 mm

(D)             266 mm

                                                                                                      GATE 2010

Answer:          (B)

 

The diameter of a drop of liquid fuel changes with time, due to combustion, according to the relationship, D = D0(1-t/tb). While burning, the drop falls at its terminal velocity under Stokes’ flow regime. The distance it will travel before complete combustion, is given by

GATE 2010


                                                                                                      GATE 2010

Answer:          (C)

 

Consider the process as shown below:

GATE 2010

A constant head pump transfers a liquid from a tank maintained at 20 psi to a reactor operating at 100 psi, through a heat exchanger and a control valve. At the design conditions, the liquid flow rate is 1000 litres/min, while the pressure drop across that heat exchanger is 40 psi, and that across the control valve is 20 psi. Assume that the pressure drop across the heat exchanger varies as the square of the flow rate. If the flow is reduced to 500 litres/min, then the pressure drop across the control valve is

(A)             30 psi

(B)              50 psi

(C)              80 psi

(D)             150 psi

                                                                                                      GATE 2010

Answer:          (B)

 

Under fully turbulent flow conditions, the frictional pressure drop across a packed bed varies with the superficial velocity (V) of the fluid as

(A)             V-1

(B)              V

(C)              V3/2

(D)             v2

                                                                                                GATE 2009

Answer:          (D)

 

For a mixing tank operating in the laminar regime, the power number varies with the Reynolds number (Re) as

(A)             Re-1/2

(B)              Re1/2

(C)              Re

(D)             Re-1

                                                                                                GATE 2009

Answer:          (D)

 

Two identical reservoirs, open at the top, are drained through pipes attached to the bottom of the tanks as shown below. The two drain pipes are of the same length, but of different diameters (D1>D2)

GATE 2009

Assuming the flow to be steady and laminar in both drain pipes, if the volumetric flow rate in the larger pipe is 16 times of that in the smaller pipe, the ratio D1/D2 is

(A)             2

(B)              4

(C)              8

(D)             16

                                                                                                GATE 2009

Answer:          (A)

 

For an incompressible flow, the x- and y- components of the velocity vector are

Vx = 2(x + y); vy = 3(y + z)

Where x, y, z are in meters and velocities are in m/s. Then the z-component of the velocity vector (vz) of the flow for the boundary condition vz = 0 at z = 0 is

(A)             5z

(B)              -5z

(C)              2x + 3z

(D)             -2x-3z

                                                                                                GATE 2009

Answer:          (B)

 

The terminal settling velocity of a 6 mm diameter glass sphere (density: 2500 kg/m3) in a viscous Newtonian liquid (density: 1500 kg/m3) is 100 µm/s. If the particle Reynolds number is small and the value of acceleration due to gravity is 9.81 m/s2, then the viscosity of the liquid (in Pa.s) is

(A)             100

(B)              196.2

(C)              245.3

(D)             490.5

                                                                                                GATE 2009

Answer:          (B)

 

 

Match the equipment in group I to the internals in Group II

Group I                                                           Group II

P. Centrifugal pump                                        1. Baffle

Q. Distillation column                                     2. Impeller

R. Heat exchanger                                          3. Tray

                                                                        4. Volute

(A)          P-2, Q-1, R-4

(B)           P-2, Q-4, R-3

(C)           P-1, Q-3, R-4

(D)          P-4, Q-3, R-1

                                                                                                            GATE 2009

Answer:          (D)

 

Common statement for the next two questions

A free jet of water is emerging from a nozzle (diameter 75 mm) attached to a pipe (diameter 225 mm) as shown below.

GATE 2009

The velocity of water at point A is 18 m/s. Neglect friction in the pipe and nozzle. Use g = 9.81 m/s2 and density of water = 1000 kg/m3.

 

The velocity of water at the tip of the nozzle (in m/s) is

(A)     13.4

(B)     18.0

(C)     23.2

(D)     27.1

                                                                                                                        GATE 2009

Answer:          (D)

 

The gauge pressure (in kPa) at point B is

(A)     80.0

(B)     100.0

(C)     239.3

(D)     367.6

                                                                                                                        GATE 2009

Answer:          (D)

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