GATE XE topic:applied-science PYQs & Answers — Page 162

Questions 1611–1620 of 1772. Imported answers require independent review unless marked reviewed.

During an experiment, the position of a fluid particle is monitored by an instrument over a time period of 10 s. The trace of the particle given by the following figure represents a

Diagram for Engineering Sciences question 14

Your answerChoose one option.

streamline

streakline

pathline

timeline

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In a Cartesian two-dimensional coordinate system,

and

represent the velocities in

and

directions, respectively. For a certain flow, the velocity field is represented by the following expression:

where, the coefficients

and

are constants. For an incompressible flow, which one of the following relations is TRUE?

Your answerChoose one option.

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Which one of the following figures represents potential flow past a circular cylinder with clockwise rotation of the cylinder?

Your answerChoose one option.

Diagram for Engineering Sciences question 16

Diagram for Engineering Sciences question 16 (figure 2)

Diagram for Engineering Sciences question 16 (figure 3)

Diagram for Engineering Sciences question 16 (figure 4)

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The stream function (

) of a velocity field at any location

is given as,

. What is the rate of rotation of a fluid element located at

Your answerChoose one option.

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The nature of velocity profile within the laminar viscous sublayer in a turbulent pipe flow is

Your answerChoose one option.

linear

parabolic

logarithmic

exponential

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In a 5 m deep vertical cylindrical tank, water is filled up to a level of 3 m from the bottom and the remaining space is filled with oil of specific gravity 0.88. Assume density of water as 1000 kg/m

and acceleration due to gravity to be 10 m/s

. The gauge pressure (in kN/m

, rounded off to the first decimal place) at a depth of 2.5 m from the top of the tank will be ________.

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In a two-dimensional potential flow, a point source is located at the origin (

) as shown in the figure. The strength of the point source is 2 cm²/s. A uniform flow with velocity 1 cm/s is approaching towards the point source at an angle of 30° from the horizontal axis. What is the distance (cm) of the stagnation point in the flow field from the point source?

Diagram for Engineering Sciences question 20

Your answerChoose one option.

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Two infinite parallel horizontal plates are separated by a small gap (

mm) as shown in figure. The bottom plate is fixed and the gap between the plates is filled with oil having density of 890 kg/m³ and kinematic viscosity of 0.0003 m²/s. A shear flow is induced by moving the upper plate with a velocity of 5 m/s. Assume, linear velocity profile between the plates and the oil to be a Newtonian fluid. The shear stress (N/m²) at the upper plate is __________

Diagram for Engineering Sciences question 21

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A spherical balloon of diameter 15 m is supposed to lift a load of 3000 N. The lifting of load is achieved by heating the air inside the balloon. Assume, air to be an ideal gas and atmospheric pressure either outside or inside the balloon. The value of acceleration due to gravity is 9.81 m/s² and the values of temperature and density of atmospheric air are 15°C and 1.2 kg/m³, respectively. In order to lift the specified load, the air inside the balloon should be heated to a temperature (°C) of __________

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The velocity field in Cartesian coordinate system for a two-dimensional steady flow is given as:

where,

and

are constants. Which one of the following expressions represents the acceleration field (

) for this flow?

Your answerChoose one option.

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GATE XE topic:applied-science PYQs

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23