Tuesday, December 15, 2020

GATE Chemical Engineering Questions and Answers-Fluid Mechanics


Bed pressure drop in an air fluidized bed of catalyst particles (ρP = 2000 kg/m3, Dp = 0.05 cm) of 60 cm bed depth and bed porosity of 0.5, expressed in cm of water (manometer) is

(A)             90

(B)              60

(C)              45

(D)             30

                                                                                                      (GATE 1995)

Answer:    (B)

 

Air flows through a packed bed of a powdery material of 1 cm depth at a superficial gas velocity of 1 cm/s. A manometer connected to the unit registers a pressure drop of 1 cm of water. The bed has a porosity of 0.4. Assuming that Kozeny-Carman equation is valid for the range of study, estimate the particle size of the powder. Ρair = 1.23 kg/m3, µair = 1.8×10-5 kg/m-s.

(A)             0.12 mm

(B)              0.14 mm

(C)              0.16 mm

(D)             0.18 mm

                                                                                                      (GATE 1995)

Answer:    (A)

 

A particle attains its terminal settling velocity when

(A)             Gravity force + drag force = buoyancy force

(B)              Gravity force - drag force = buoyancy force

(C)              Buoyancy force + drag force = gravity force

(D)             Drag force = buoyancy force

                                                                                                      (GATE 1995)

Answer:    (C)

 

Hydraulic mean diameter for flow through packed bed of spherical particles of size dp with porosity ε is

GATE 1995


                                                                                                      (GATE 1995)

Answer:    (D)

 

A Newtonian liquid (ρ = density, µ = viscosity) is flowing with velocity V in the tube of diameter D. Let ΔP be the pressure drop across the length L. For a laminar flow, ΔP is proportional to

GATE 1994


                                                                                                      (GATE 1994)

Answer:    (C)

 

In fluidization using perfect spherical particles, the operating range of fluidization velocity is

(A)             Independent of particle size

(B)              Greater for bigger particle size

(C)              Greater for smaller particle size

(D)             Proportional to the square of particles

                                                                                                      (GATE 1993)

Answer:    (C)

 

For a centrifugal pump, the net positive suction head (NPSH) is defined as

(A)             hvs + hps

(B)              hvd + hpd

(C)              hvs + hps-Ps

(D)             hvd + hpd-Pd

                                                                                                      (GATE 1993)

Answer:    (C)

 

A pitot tube indicates 5 cm of water (manometer) when it is being used for measuring velocity of air. The velocity of air in m/s is

(A)             5

(B)              14

(C)              56

(D)             26

                                                                                                      (GATE 1992)

Answer:    (D)

 

A spherical particle is falling slowly in a viscous liquid such that Reynolds number is less than 1, which statement is correct for this situation

(A)             Inertial and drag forces are important

(B)              Drag, gravitational and buoyancy forces are important

(C)              Drag force and gravitational forces are important

(D)             None of the above

                                                                                                      (GATE 1992)

Answer:    (B)

 

What size of orifice would give a pressure difference of 41 cm water column for the flow of liquid styrene of specific gravity 0.9 at 0.055 m3/s in a 250 mm diameter pipe. Assume Cd = 0.62

(A)             181 mm

(B)              200 mm

(C)              210 mm

(D)             215 mm

                                                                                                      (GATE 1991)

Answer:    (A)

 

Bernoulli’s equation for steady frictionless flow states that, along a stream line

(A)             Total pressure is constant

(B)              Total mechanical energy is constant

(C)              Velocity head constant

(D)             None of these

                                                                                                      (GATE 1990)

Answer:    (B)

 

For dilatant fluid, the magnitude of slope of the shear stress versus the velocity gradient curve …………. With increasing velocity gradient.

(A)             Increases

(B)              Decreases

(C)              Remains unchanged

(D)             May decrease or increase

                                                                                                      (GATE 1989)

Answer:    (A)

 

The condition that is not necessary for the applicability of Bernoulli’s equation is

(A)             Steady state

(B)              Incompressible

(C)              Inviscid

(D)             Rotational

                                                                                                      (GATE 1989)

                   Answer:          (D)

 

The shear stress-shear rate relationship for a liquid whose apparent viscosity decreases with increasing shear rate is given by

GATE 1989


                                                                                                      (GATE 1989)

                Answer:          (A)

 

For an ideal fluid flow, the Reynolds number is

(A)             Infinity

(B)              Zero

(C)              one     

(D)             2100

                                                                                                      (GATE 1988)

Answer:    (A)

 

For pseudoplastic fluids, increase in shear rate

(A)             Increases the apparent viscosity

(B)              Decreases the apparent viscosity

(C)              Has no effect on apparent viscosity

(D)             Has unspecified effect

                                                                                                      (GATE 1988)

Answer:    (A)

 

What pressure drop per unit length is required in order to pump water at 25C through a pipe 5 cm in diameter at a velocity of 0.035 m/s and Re is 1700.

(A)             0.45 Pa/m

(B)              0.5 Pa/m

(C)              0.90 Pa/m

(D)             0.95 Pa/m

                                                                                                      (GATE 1988)

Answer:    (A)

 

Consider a duct of square cross-section for side ‘b’, the hydraulic radius is given by

(A)             b/8

(B)              b/4

(C)              b/2

(D)             b

                                                                                                            (GATE 1988)

Answer:    (B)

 

For fluidized bed, with increase in expansion of the bed, up to solids carryover from the bed, the pressure drop across the bed

(A)             Increase rapidly

(B)              Decrease rapidly

(C)              First increases, then decreases

(D)             Remains essentially constant

                                                                                                      (GATE 1988)

Answer:    (D)

 

A liquid of specific gravity 1.25 is drawing from the bottom of a large open tank through a 50 mm ID pipe. The drain pipe ends at a position 5 m below the surface of the liquid in the tank. Calculate the velocity of flow at the point of discharge from the pipe.

(A)             10.0 m/s

(B)              11.5 m/s

(C)              12.5 m/s

(D)             13.2 m/s

                                                                                                      (GATE 1987)

Answer:    (A)


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