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This mock test of Test: Fluid Flow Kinematics - 2 for Civil Engineering (CE) helps you for every Civil Engineering (CE) entrance exam.
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QUESTION: 1

A 2-D flow having velocity V = (x + 2y + 2)i + (4 - y)j will be

Solution:

QUESTION: 2

In a flow net

Solution:

QUESTION: 3

A stream function is

Solution:

A stream function is defined by following characteristic:

The partial derivative of stream function w.r.t y will give velocity in x-direction.

The partial derivative of stream function w.r.t x will give velocity in negative y-direction.

It is valid for steady, incompressible flow since, is satisfies the continuity equation

QUESTION: 4

The continuity equation for steady incompressible flow is expressed in vector notation as

Solution:

QUESTION: 5

In a converging steady flow there is

Solution:

QUESTION: 6

In two dimensional flow, the equation of a streamline is given as

Solution:

QUESTION: 7

The concept of stream function which is based on the principle of continuity is applicable to

Solution:

Velocity potential function is valid for 3-dimensional flow while stream function is valid for 2 dimensional flow.

QUESTION: 8

Which of the following velocity potentials satisfies continuity equation?

Solution:

For the velocity potential function to satisfy continuity equation:

Where φ is velocity potential, φ = x^{2} - y^{2} satisfies this equation

QUESTION: 9

In a two dimensional incompressible steady flow around an airfoil, the stream lines are 2 cm apart at a great distance from the airfoil, where the velocity is 30 m/sec. The velocity near the airfoil, where the stream lines are 1.5 cm apart, is

Solution:

V_{1}y_{1} = V_{2}y_{2}

⇒ 30 x 2 = V_{2} x 1.5 ⇒ v_{2} = 40 cm/s

QUESTION: 10

The velocity potential function for a source varies with distance r as

Solution:

Velocity at any point r in the flow field of source is given by, V_{r} = q/2πr.

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