GATE XE year:2017 PYQs & Answers — Page 3

Questions 21–30 of 175. Imported answers require independent review unless marked reviewed.

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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A cylindrical tank of 0.8 m diameter is completely filled with water and its top surface is open to atmosphere as shown in the figure. Water is being discharged to the atmosphere from a circular hole of 15 mm diameter located at the bottom of the tank. The value of acceleration due to gravity is 9.81 m/s². How much time (in seconds) would be required for water level to drop from a height of 1 m to 0.5 m?

Diagram for Engineering Sciences question 24

Your answerChoose one option.

188

266

376

642

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Consider steady laminar flow of an incompressible Newtonian fluid between two infinite parallel plates, separated by a distance of 1 m, as shown in the figure. The bottom plate is stationary but the top one is moving in positive

-direction with a velocity of 3 m/s. The fluid pressure gradient in the flow direction is:

. If the viscosity of the fluid is 1 kg m⁻¹ s⁻¹ then the distance of the point of maximum velocity (in meters, rounded off to the second decimal place) from the bottom plate would be __________

Diagram for Engineering Sciences question 25

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An inviscid incompressible fluid of density 1000 kg/m³ is flowing in a horizontal pipe of tapered cross-section with a flow rate of 4000 cm³/s. The area of cross-section at two different locations ‘A’ and ‘B’ are 10 cm² and 20 cm², respectively. The velocity of the fluid at the location ‘A’ is 4 m/s and pressure is 5 N/m². The pressure (N/m²) at the location ‘B’ would be __________

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A viscous, incompressible and Newtonian fluid flowing through the main branch of a circular pipe bifurcates into two daughter branches whose radii are 4 cm and 2 cm, respectively. The flow in both the daughter branches are laminar and fully developed. If the pressure gradients in both the daughter branches are same, then the fraction of total volumetric flow rate (rounded off to the second decimal place) coming out from the branch with 4 cm diameter is __________

Diagram for Engineering Sciences question 27

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The volumetric flow rate (

) of a triangular notch is a function of the upstream liquid surface elevation (

) measured from the bottom of the notch, acceleration due to gravity (

), notch angle (

) and the approach velocity (

). Which one of the following is the correct expression for

Your answerChoose one option.

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Model tests are to be carried out to study the flow through a large prototype valve of 0.6 m diameter at a flow rate of 10 m³/s. The same working fluid is used for both the model and the prototype. A complete geometric similarity is maintained between the model and the prototype. If the valve diameter of the model is 80 mm, its required flow rate (in m³/s, rounded off to the first decimal place) would be ________.

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Water is flowing at a rate of 0.5 m³/s in a horizontal pipeline of inside diameter 0.5 m. The density and kinematic viscosity of water is 1000 kg/m³ and 10⁻⁶ m²/s, respectively. Assume Darcy-Weisbach friction factor value to be 0.0093 and acceleration due to gravity as 9.81 m/s². To maintain constant flow rate, the required power per unit length of the pipeline (in W/m, rounded off to the first decimal place) would be ________.

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GATE XE year:2017 PYQs

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30