GATE CH concept:pressure-drop PYQs & Answers

Questions 1–10 of 13. Imported answers require independent review unless marked reviewed.

Laboratory filtration is conducted at constant pressure drop of 200 kPa on a slurry of CaCO

in water at room temperature. The time taken to collect filtrate is shown in the table.

Filtrate volume collected (in m )	Time (in s)
	40
	100

The filter area is 0.05 m

and viscosity of filtrate is

Pa s. Which one of the following is the filter medium resistance (in m

Your answerChoose one option.

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For a steady state, fully developed laminar flow of a Newtonian fluid through a cylindrical pipe at a constant volumetric flow rate, which of the following statements regarding the pressure drop across the pipe (

) is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

increases with fluid viscosity

increases with pipe length

increases with pipe diameter

remains unchanged with fluid viscosity

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A Venturi meter with a throat diameter

cm measures the flow rate in a pipe of diameter

cm, as shown in the figure. A U-tube manometer is connected to measure the pressure drop. Assume the discharge coefficient is independent of the Reynolds number and geometric ratios. If the volumetric flow rate through the pipe is doubled

, the corresponding ratio of the manometer readings

, rounded off to the nearest integer, is _______

Diagram for Chemical Engineering question 60

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For a packed-bed comprising of uniform-sized spherical particles of diameter

, the pressure drop across the bed is given by the Kozeny-Carman equation when the particle Reynolds number (

) < 1. Under this condition, minimum fluidization velocity is proportional to

. Which one of the following is the CORRECT value of exponent

Your answerChoose one option.

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The viscosity of an incompressible Newtonian fluid is measured using a capillary tube of diameter 0.5 mm and length 1.5 m. The fluid flow is laminar, steady and fully developed. For a flow rate of 1 cm

·s

, the pressure drop across the length of the tube is 1 MPa. If the viscosity of the fluid is

Pa·s, the value of

is __________ (rounded off to two decimal places).

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A venturi meter (venturi coefficient,

) is connected to a pipe of inner diameter 50 mm. Water (density 1000 kg m

) is flowing through the pipe. The pressure-drop measured across the venturi meter is 50 kPa. If the venturi throat diameter is 20 mm, the estimated flow rate of water is ______

(rounded off to two decimal places).

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In a constant-rate cake filtration operation, the collected filtrate volumes are 120 m

and 240 m

at 1 min and 2 min, respectively. Assume the cake resistance to be constant and the filter medium resistance to be negligible. If the pressure-drop across the cake is 10 kPa at 1 min, its value at 2 min is __________ kPa (rounded off to the nearest integer).

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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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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 student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius 0.01 m with a pressure drop (

) of 10 kPa over tube length (

) of 1.0 m. The velocity profile is flat for

and parabolic for

, as shown in the figure.

Diagram for Chemical Engineering question 36

Consider

and

as the radial and axial directions, and the shear stress is finite as

approaches zero. A force balance results in the following equation

where

is the shear stress. If

is 0.001 m, then the magnitude of yield stress for this Bingham Plastic (in Pa) is

Your answerChoose one option.

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GATE CH concept:pressure-drop PYQs

How to practice concept:pressure-drop

Question 49

Question 43

Question 60

Question 20

Question 33

Question 52

Question 53

Question 42

Question 5

Question 36