GATE CH topic:fluid-mechanics-and-mechanical-operations PYQs & Answers — Page 5

Questions 41–50 of 77. Imported answers require independent review unless marked reviewed.

Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let

and

denote the kinetic energy correction factors for laminar and turbulent flow through the pipe, respectively. For turbulent flow through the pipe

Here,

is the average velocity,

is the centerline velocity, and

is a parameter. The ratio of average velocity to the centerline velocity for turbulent flow through the pipe is given by

For

, the value of

is __________ (round off to 2 decimal places).

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Consider a fluid confined between two horizontal parallel plates and subjected to shear flow. In the first experiment, the plates are separated by a distance of 1 mm. It is found that a shear stress of 2 N m

has to be applied to keep the top plate moving with a velocity of 2 m s

, while the other plate is fixed. In the second experiment, the plates are separated by a distance of 0.25 mm. It is found that a shear stress of 3 N m

has to be applied to keep the top plate moving with a velocity of 1 m s

, while the other plate is fixed. In the range of shear rates studied, the rheological character of the fluid is

Your answerChoose one option.

Newtonian

Pseudoplastic

Dilatant

Ideal and inviscid

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Water of density 1000 kg m

flows in a horizontal pipe of 10 cm diameter at an average velocity of 0.5 m s

. The following plot shows the pressure measured at various distances from the pipe entrance.

Diagram for Chemical Engineering question 28

Using the data shown in the figure, the Fanning friction factor in the pipe when the flow is FULLY DEVELOPED is

Your answerChoose one option.

0.0012

0.0074

0.0082

0.0106

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Consider a tank filled with 3 immiscible liquids A, B and C at static equilibrium, as shown in the figure.

Diagram for Chemical Engineering question 41

At 2 cm below the liquid A – liquid B interface, a tube is connected from the side of the tank. Both the tank and the tube are open to the atmosphere.

At the operating temperature and pressure, the specific gravities of liquids A, B and C are 1, 2 and 4, respectively. Neglect any surface tension effects in the calculations. The length of the tube

that is wetted by liquid B is ________ cm.

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Seawater is passed through a column containing a bed of resin beads. Density of seawater = 1025 kg m

Density of resin beads = 1330 kg m

Diameter of resin beads = 50 μm Void fraction of the bed at the onset of fluidization = 0.4 Acceleration due to gravity = 9.81 m s

The pressure drop per unit length of the bed at the onset of fluidization is ________ Pa m

(round off to nearest integer).

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A viscous liquid is pumped through a pipe network in a chemical plant. The annual pumping cost per unit length of pipe is given by

The annual cost of the installed piping system per unit length of pipe is given by

Here, D is the inner diameter of the pipe in meter, q is the volumetric flowrate of the liquid in m

and

is the viscosity of the liquid in Pa.s. If the viscosity of the liquid is

Pa.s and the volumetric flow rate of the liquid is

, the economic inner diameter of the pipe is ________ meter (round off to 3 decimal places).

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In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate (

) is measured as a function of time

. The plot of

versus

results in a straight line with an intercept of

. Area of the filter is

, viscosity of the filtrate is

, and the overall pressure drop across the filter is 20 kPa. The value of the filter-medium resistance (in

) is

Your answerChoose one option.

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A rigid spherical particle undergoes free settling in a liquid of density 750 kg m⁻³ and viscosity 9.81 × 10⁻³ Pa s. Density of the particle is 300 kg m⁻³ and the particle diameter is 2 × 10⁻⁴ m. Acceleration due to gravity is 9.81 m s⁻². Assuming Stokes’ law to be valid, the terminal settling velocity (in m s⁻¹) of the particle is

Your answerChoose one option.

2 × 10⁻³

3 × 10⁻³

4 × 10⁻³

5 × 10⁻³

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Consider an incompressible flow of a constant property fluid over a smooth, thin and wide flat plate. The free stream flows parallel to the surface of the plate along its length and its velocity is constant. Value of the Reynolds number at a distance of 2.0 m from the leading edge of the plate is 800. The flow within the boundary layer at a distance of 1.0 m from the leading edge of the plate is

Your answerChoose one option.

laminar

turbulent

transitioning from laminar to turbulent

inviscid

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Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, I and II, of circular cross section. The volumetric flow rates in both the pipes are the same. The diameter of pipe II is twice the diameter of pipe I, i.e.,

. The ratio of the shear stress at the wall of pipe I to the shear stress at the wall of pipe II is

Your answerChoose one option.

0.5

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GATE CH topic:fluid-mechanics-and-mechanical-operations PYQs

Question 22

Question 27

Question 28

Question 41

Question 42

Question 55

Question 5

Question 16

Question 17

Question 33