Monday, February 1, 2021

GATE Chemical Engineering Questions and Answers-Fluid Mechanics

Losses for flow through valves and fittings are expressed in terms of

(A)          Drag coefficient

(B)           equivalent length of a straight pipe

(C)           Shape factor

(D)          roughness factor

                                                                                                                  GATE 2008

Answer:          (B)

 

Three containers are filled with water up to the same height as shown. The pressures at the bottom of the containers are denoted as P1, P2 and P3. Which one of the following relationships is true?

GATE 2008

(A)          P3>P1>P2

(B)           P2>P1>P3

(C)           P1>P2=P3

(D)          P1=P2=P3

                                                                                                            GATE 2008

Answer:          (D)

 

Given a pipe of diameter D, the entrance length necessary to achieve fully developed laminar flow is proportional to (NRe is Reynolds number)

GATE 2008









                                                                                             GATE 2008

    Answer:          (A)

 

To determine the performance of a compressor, a standardized test is performed. In the testing process, when the compressor is under operation, “shut off” term signifies

                (A) Maximum flow

                (B)  Zero flow

                (C)  Steady flow

                (D) Intermittent flow

                                                                                                            GATE 2008

            Answer:          (B)

 

For laminar flow conditions, the relationship between the pressure drop (ΔPc) across an incompressible filter cake and the specific surface area (S0) of the particles being filtered is given by one of the following

GATE 2008 

                                                                                                                  GATE 2008

        Answer:          (C)

 

The power required for size reduction in crushing is

GATE 2008


                                                                                                            


                                                                                                                        GATE 2008

        Answer:          (C)

 

A cylindrical vessel with hemispherical ends is filled with water as shown in the figure. The head space is pressurized to a gauge pressure of 40 kN/m2. The vertical force F (in kN) tending to lift the top dome and the absolute pressure P (in kN/m2) at the bottom of the vessel are

(g = 9.8 m/s2, density of water = 1000 kg/m3)

GATE 2008

(A)          F = 83.6; P = 64.5

(B)           F = 83.6; P = 165.8

(C)           F = 125.7; P = 64.5

(D)          F = 125.7; P = 165.8

                                                                                                                  GATE 2008

            Answer:          (C)

 

A pump draws oil (specific gravity 0.8) from a storage tank and discharges it to an overhead tank. The mechanical energy delivered by the pump to the fluid is 50 J/kg. The velocities at the suction and the discharge points of the pump are 1 m/s and 7 m/s, respectively. Neglecting friction losses and assuming kinetic energy correction factor to be unity, the pressure developed by the pump (in kN/m2) is

(A)          19.2

(B)           20.8

(C)           40

(D)          80

                                                                                                            GATE 2008

            Answer:          (B)

 

Select the most appropriate pump from Group 2 to handle each fluid flow given in Group 1.

Group 1                                                                                         Group 2

P.   Highly viscous fluid flow                                                      1. Piston pump

Q.  Fluid containing large amount of abrasive solids                   2. Gear pump

                                                                                                3. Plunger pump

                                                                                                4. Centrifugal pump

(A)             P-2, Q-1

(B)              P-2, Q-4

(C)              P-3, Q-4

(D)             P-4, Q-3

                                                                                                            GATE 2007

Answer:          (B)

 

A pipeline system carries crude oil of density 800 kg/m3. The volumetric flow rate at point 1 is 0.28 m3/s. The cross sectional areas of the branches 1, 2 and 3 are 0.012, 0.008 and 0.004 m2 respectively. All the three branches are in a horizontal plane and the friction is negligible. If the pressures at the points 1 and 3 are 270 kPa respectively, then the pressure at point 2 is

GATE 2007


(A)             202 kPa

(B)              240 kPa

(C)              284 kPa

(D)             355 kPa

                                                                                                            GATE 2007

Answer:          (C)

 

The figure shows the idealized view of a return elbow or U bend, which is connected to two pipes by flexible hoses that transmit no force. Water with density 1000 kg/m3 flows at velocity of 10 m/s through the pipe, which has a uniform ID of 0.1 m. The gauge pressure at points 1 and 2 are 304 kPa and 253 kPa respectively. The horizontal force F required to keep the elbow in position is

GATE 2007


(A)             1574 N

(B)              1970 N

(C)              5942 N

(D)             7533 N

                                                                                                            GATE 2007

Answer:          (C)

 

A tube of diameter D and length L is initially tilled with a liquid of density of ρ and viscosity µ. It is then pushed out by the application of a constant force F to the plunger as shown in the figure. Assuming laminar flow and pseudo steady state, the time required to expel one half of the liquid out of the tube is

GATE 2007


GATE 2007

                                                                                                            GATE 2007

Answer:          (A)

 

The figure shows a series-parallel configuration of three identical centrifugal pumps. The head increase ΔH across a single such pump varies with flow rate Q according to ΔH=a – bQ2. The expression for the total head increase ΔH = H2-H1 in terms of a and b and the total flow rate Q1 for this configuration is given by

GATE 2007


GATE 2007

                                                                                                            GATE 2007

Answer:          (A)

 

The pressure differential across a venture meter, inclined at 45C to the vertical (as shown in the figure) is measured with the help of a manometer to estimate the flow rate of a fluid flowing through it. If the density of the flowing fluid is ρ and the density of the manometer fluid is ρm, the velocity of the fluid at the throat can be obtained from the expression

GATE 2007


GATE 2007


                                                                                                




                                                            GATE 2007

Answer:          (A)

 

In the Stokes regime, the terminal velocity of particles for centrifugal sedimentation is given by

GATE 2007

Where, ω: angular velocity; r: distance of the particle from the axis of rotation; ρp: density of the particle; ρ: density of the fluid; dp: diameter of the particle and µ: viscosity of the fluid.

In a bowl centrifugal classifier operating at 60 rpm with water (µ = 0.001 kg/m.s), the time taken for a particle (dp = 0.0001 m, sp. Gr. = 2.5) in seconds to traverse a distance of 0.05 m from the liquid surface is

GATE 2007


(A)             4.8

(B)              5.8

(C)              6.8

(D)             7.8

                                                                                                            GATE 2007

Answer:          (C)

 

Common statement for the next two questions

A fluidized bed (0.5 m dia, 0.5 m high) of spherical particles (diameter = 2000 µm, specific gravity = 2.5) uses water as the medium. The porosity of the bed is 0.4. The Ergun eqn for the system is

GATE 2007
(SI unit, Umf in m/s)

ΔP/L (SI unit) at minimum fluidization condition is (g = 9.8 m/sec2)

(A)             900

(B)              8820

(C)              12400

(D)             17640

                                                                                                      GATE 2007

Answer:          (B)

 

The minimum fluidization velocity (mm/sec) is

(A)       12.8

(B)       15.8

(C)       24.8

(D)       28.8

                                                                                                                        GATE 2007

Answer:          (B)


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