GATE XE format:nat PYQs & Answers — Page 8

Questions 71–80 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 8 of 67

Let

be the solution of the initial boundary value problem

Then the value of

is equal to (rounded off to two decimal places)

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Consider,

and

are unit vectors along x and y directions of a Cartesian

coordinate system, respectively and

is time. Temperature (

) and fluid velocity (

) are given for a flow field as:

The total rate of change of temperature in the flow field (in integer) for time

at a point

is ________

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Driven by a pressure gradient of 100 kPa/m, a fluid of dynamic viscosity 0.1 Pa.s flows between two fixed infinite large parallel plates under steady, incompressible, and fully developed laminar conditions. The average velocity of the flow is 2 m/s. The gap between the parallel plates in mm (rounded off to 2 decimal places) is ________

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An incompressible fluid is flowing between two infinitely large parallel plates separated by 5 mm distance. The bottom plate is stationary and the top plate is moving at a constant velocity of 5 mm/s in the direction parallel to the bottom plate. The flow of the fluid between the plates is steady, two-dimensional, laminar, and the variation of fluid velocity is linear between the plates. A square fluid element of 1 mm side is considered at equal distance from the plates in the flow field such that one of its sides is parallel to the plates. The magnitude of circulation in mm

/s (in integer) along the edges of the square fluid element is ________

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Consider, a kite weighing 100 grams as essentially a rigid flat plate making an angle 8° with the horizontal and having a planform area of 0.045 m

when exposed to horizontal parallel wind of 60 km/h. The thread string of the kite makes an angle 45° with the horizontal. A tension of 450 grams in the thread is necessary to float the kite steadily. Take air density as 1.2 kg/m

and gravitational acceleration as 9.81 m/s

. The lift coefficient (

) associated with the air flow around steadily floating kite (rounded off to 2 decimal places) is ________

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A fixed control volume has four one-dimensional boundary sections (1, 2, 3, and 4). For a steady flow inside the control volume, the flow properties at each section are tabulated below:

Boundary Section	Type	Density (kg/m )	Surface Normal Velocity (m/s)	Cross-sectional Area (m )	Specific Energy (J/kg)
1	Inlet	1000	10	0.5	200
2	Inlet	1000	2	3.0	50
3	Outlet	1000	5	1.0	100
4	Outlet	1000	4	1.5	80

The rate of change of energy of the system which occupies the control volume at this instant is

J/s. The value of

(rounded off to 2 decimal places) is ________

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A ship is to be operated in a fluid medium with kinematic viscosity

/s. A one-tenth scale model of the ship is built for testing. Consider, inertia, viscous and gravity forces are dominant for the ship and its model during the operation. The required kinematic viscosity of the liquid for testing the model is

/s. The value of

(rounded off to 2 decimal places) is ________

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Water flows through a pipe of diameter 20 cm at a flow rate of 0.025 m

/s. A pitot-static tube is placed at the centre of the pipe and indicates the pressure difference of 5 cm of water column. Theoretical velocity measured through pitot-static tube when multiplied with velocity coefficient

gives the actual velocity of the flow. If the mean velocity in the pipe is 90% of the actual velocity at the centre of the pipe and the gravitational acceleration is 10 m/s

, the value of

(rounded off to 2 decimal places) is ________

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An oil of density 870 kg/m

and viscosity 0.036 Pa.s flows through a straight pipe of 10 cm diameter and 1.5 km length at the flow rate of 250 liters per minute under the steady and incompressible flow conditions. To control the flow rate of oil, a valve is fixed at the middle of the pipe causing no change in the total length of the pipe. The total head loss measured across the two ends of the pipe is 11.60 m. Using gravitational acceleration as 10 m/s

, the minor head loss contributed by the presence of the valve in m (rounded off to 2 decimal places) is ________

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If solid tin is in equilibrium with its vapor, the degree of freedom is (answer in integer) __________

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GATE XE format:nat PYQs

Question 21

Question 36

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Question 41

Question 42

Question 43

Question 51