GATE XE topic:applied-science PYQs & Answers — Page 94

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Questions 931–940 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 94 of 178

In a laminar, incompressible, fully-developed pipe flow of a Newtonian fluid, as shown in the figure, the velocity profile over a cross-section is given by

, where

is a constant. The pipe length is

and the fluid viscosity is

. The power

required to sustain the flow is expressed as

, where

is a dimensionless constant. The value of the constant

(up to one decimal place) is ________.

Diagram for Engineering Sciences question 13

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The two-dimensional velocity field

of a flow in a Cartesian coordinate system is given in dimensionless form by

. Here,

and

are the unit vectors along the x and y directions respectively,

and

are independent of

and time. If the flow is incompressible, then the value of

, up to one decimal place, is ________.

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For the configuration shown in the figure, oil of density 800 kg/m

lies above water of density 1000 kg/m

. Assuming hydrostatic conditions and acceleration due to gravity

m/s

, the length

(in meters, up to one decimal place) of water in the inclined tube is ______.

Diagram for Engineering Sciences question 15

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A two-dimensional Eulerian velocity field is given (in m/s) by

, where

and

are the coordinates (in meters) in a Cartesian coordinate system. The magnitude of the acceleration (in m/s

, up to one decimal place) of a fluid particle at

m and

m is ________.

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A large pump is to deliver oil at an average velocity (

) of 1.5 m/s. The pump has an impeller diameter (

) of 40 cm and the pressure rise across the pump is 400 kPa. To design this pump, a lab-scale model pump with an impeller diameter of 4 cm is to be used with water as the fluid. The viscosity (

) of the oil is 100 times that of water, and the densities (

) of oil and water are identical. A complete geometric similarity is maintained between the model and prototype. If the pressure rise is a function only of

and

, the pressure rise (in kPa, up to one decimal place) across the model pump is ______.

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Water (density = 10

kg/m

) enters steady into a horizontal pipe bend, which is part of a larger piping system, as shown in the figure. The volumetric flow rate of water is 0.1 m

/s. The gage pressure at the inlet is 500 kPa, while the exit is open to atmosphere. The

-component of the force on the support is

. The absolute value of

(in kN, up to one decimal place) is ___.

Diagram for Engineering Sciences question 18

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Air (of density 0.5 kg/m

) enters horizontally into a jet engine at a steady speed of 200 m/s through an inlet area of 1.0 m

. Upon entering the engine, the air passes through the combustion chamber and the exhaust gas exits the jet engine horizontally at a constant speed of 700 m/s. The fuel mass flow rate added in the combustion chamber is negligible compared to the air mass flow rate. Also neglect the pressure difference between the inlet air and the exhaust gas. The absolute value of the horizontal force (in kN, up to one decimal place) on the jet engine is__________.

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Water discharges from a cylindrical tank through an orifice, as shown in the figure. The flow is considered frictionless. Initially, the water level in the tank was

m. The diameter of the tank is

m, while the diameter of the jet is

cm, and the acceleration due to gravity is

m/s

. The time taken (in seconds, up to one decimal place) for the water level in the tank to come down to

m is ______.

Diagram for Engineering Sciences question 20

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Water discharges steadily from a large reservoir through a long pipe, as shown in the figure. The Darcy friction factor in the pipe is 0.02. The pipe diameter is 20 cm and the discharge of water is 360 m

/h. Water level in the reservoir is 10 m and acceleration due to gravity

m/s

. If minor losses are negligible, the length

(in meters, up to one decimal place) of the pipe is ______.

Diagram for Engineering Sciences question 21

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Water is flowing with a flow rate

in a horizontal circular pipe. Due to the low pressure created at the venturi section (Section-1 in the figure), water from a reservoir is drawn upward using a connecting pipe as shown in the figure. Take acceleration due to gravity

m/s

. The flow rate

/s,

cm, and

cm. The maximum height (

, in meters, up to one decimal place) of the venturi from the reservoir just sufficient to raise the liquid up to Section-1 is ____________.

Diagram for Engineering Sciences question 22

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GATE XE topic:applied-science PYQs

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22