Type Of Flow - Practice Questions & MCQ

Quick Facts

Flow of Fluids is considered one of the most asked concept.
13 Questions around this concept.

Solve by difficulty

A sphere of relative density $\mathrm{\sigma}$ and diameter D has concentric cavity of diameter d. It will just float on water in a tank if the ratio $\mathrm{D / d}$ is

$\mathrm{\frac{\sigma}{(\sigma-1)}}$

$\mathrm{\frac{(\sigma+1)}{\sigma}}$

$\mathrm{\left(\frac{\sigma}{\sigma-1}\right)^{1 / 3}}$

$\mathrm{\left(\frac{\sigma+1}{\sigma}\right)^{1 / 3}}$

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A vessel of area of cross-section A has liquid to a height $\mathrm{H}$ . There is a hole at the bottom of vessel having area of cross-section a. The time taken to decrease the level from $\mathrm{H} 1$ to $\mathrm{H} 2$ will be:

$\mathrm{\frac{\mathrm{A}}{\mathrm{a}} \sqrt{\frac{2}{8}}\left[\sqrt{\mathrm{H}_1}-\sqrt{\mathrm{H}_2}\right]}$

$\mathrm{\sqrt{2 g h}}$

$\mathrm{\sqrt{2 \mathrm{gh}\left(\mathrm{H}_1-\mathrm{H}_2\right)}}$

$\mathrm{\frac{A}{a} \sqrt{\frac{g}{2}}\left[\sqrt{H_1}-\sqrt{H_2}\right]}$

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Concepts Covered - 1

Flow of Fluids

Steady flow-

In this type of flow fluid Characteristics like Velocity, Pressure and density etc At a Point do not change with time.

I.e $\frac{dv}{dt}= 0\:, \: \frac{dp}{dt}= 0\: ,\: \frac{d\rho }{dt}= 0$

Unsteady flow-

In this type of flow fluid Characteristics like Velocity, Pressure and density etc At a Point changes with respect to time.

I.e $\frac{dv}{dt}\neq 0\:, \: \frac{dp}{dt}\neq 0\:, \: \frac{d\rho }{dt}\neq 0$

Streamline flow-

Streamline the flow of a liquid is the type of fluid flow in which each particle of the fluid passing through a point travels along the same path and with the same velocity as the preceding element passes through that point.

Streamline flow is defined as the path (straight or curved), the tangent to which at any point gives the direction of the flow of liquid.

zxcfb

For the above figure Path ABC is streamlined.

And All the liquid particles passing through A, B, and C will have velocities as $V_1,V_2 \ \ and \ \ V_3$ respectively.

Property of streamline flow-

The direction of velocity at any point on the flow line is along the tangent.
Two streamlines cannot cross each other.

Laminar flow -

If a liquid is flowing over a horizontal surface with a steady flow and moves in the form of infinitesimal parallel layers of different velocities which do not mix with each other, then the flow of liquid is called laminar flow.

This type of flow is also referred to as streamline flow.

In this flow, the velocity of liquid flow is always less than the critical

velocity of the liquid.

Turbulent Flow-
When the velocity of liquid flow is greater than its critical velocity, then the motion of the particles of the liquid becomes disordered or irregular. Such a flow is called turbulent flow.

In turbulent flow velocity of the fluid at a point is continuously undergoing changes in both magnitude and direction.