Questions 11–20 of 77. Imported answers require independent review unless marked reviewed.

Topic practice 77 questionsPage 2 of 8

Question 65

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The velocity profile for a fully developed laminar flow of an incompressible Newtonian fluid, at steady state, through a horizontal infinitely wide and long slit of gap 0.01 m is given by the following equation.

where y is the vertical distance measured from the center of the slit. The average velocity of the fluid (in m s⁻¹) is __________ (rounded off to the nearest integer).

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Question 18

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The sum of the components of the force due to pressure and shear at the solid-fluid boundary of a solid body in the direction normal to the flow is
Your answerChoose one option.

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Question 19

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Choose the CORRECT option for pathlines, streaklines and streamlines for a STEADY flow field.
Your answerChoose one option.

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Question 41

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A catalyst particle is modeled as a symmetric double cone solid as shown in the figure. For each conical sub-part, the radius of the base is

and the height is

. The sphericity of the particle is given by
Diagram for Chemical Engineering question 41

Your answerChoose one option.

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Question 43

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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.

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Question 49

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A leaf filter is operated at 1 atm (gauge). The volume of filtrate collected (

in m

) is related with the volumetric flow rate for the filtrate (

in m

/s) as:

The volumetric flow rate of the filtrate at 1 hour is ____

m

/s (rounded off to 2 decimal places).

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Question 50

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An adiabatic pump of efficiency 40% is used to increase the water pressure from 200 kPa to 600 kPa. The flow rate of water is 600 L/min. The specific heat of water is 4.2 kJ/(kg °C). Assuming water is incompressible with a density of 1000 kg/m

, the maximum temperature rise of water across the pump is ____ °C (rounded off to 3 decimal places).

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Question 15

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An infinitely long cylindrical water filament of radius

is surrounded by air. Assume water and air to be static. The pressure outside the filament is

and the pressure inside is

. If

is the surface tension of the water-air interface, then

is
Your answerChoose one option.

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Question 16

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The velocity field in an incompressible flow is

, where

and

are unit-vectors in the

Cartesian coordinate system. Given that

and

are constants, and

at

, the correct expression for

is
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Question 27

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If the Prandtl number

, which of the following statements is/are correct?
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