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GATE 2020: Fluid Mechanics Quiz 5

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Question 1

A path-line is the

Question 2

Consider the following statements
1) Streamlines are the time averaged of the direction of the fluid motion throughout the flow field.
2) Partial derivative of the stream function with respect to any direction gives the velocity component in that direction.
3) Streakline and pathline are flow patterns that have some age and thus a time history associated with them.
4) Pathlines are the time-exposed flow path of an individual particle over some time period.
which combination of the above statements is true?

Question 3

In a Lagrangian system, the position of a fluid particle in a flow is described as and where t is the time while and k are constants. The flow is

Question 4

A fluid flows through 90 cm long nozzle. The velocity at the centreline changes from 3 m/s to 30 m/s. The change in magnitude of convective acceleration is

Question 5

A stream function is given by: Ψ = 2xy + (x+1)y . The flow rate across a line joining points which are obtained by intersection of lines  x+2y = 2 and x + y =1, and the intersection of the lines 2x + y = 3 and x + y = 2 ________.

Question 6

For a steady flow, the velocity field is . The magnitude of the acceleration of a particle at (1, -1) is
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