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Equation Of Continuity - Practice Questions & MCQ
Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET
Quick Facts
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Equation of Continuity is considered one of the most asked concept.
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17 Questions around this concept.
Solve by difficulty
Consider the Flow is incompressible which is shown in figure .The magnitude of velocity v is at cross section 3A, and 1m/sec is at cross section 2A and 4m/sec is at cross section A. Determine the value of the velocity v
The cylindrical tube of a spray pump has a radius R, one end of which has n fine holes, each of radius r. If the speed of flow of the liquid in the tube is V, the speed of ejection of the liquid through the holes is
Water is flowing through a tube of radius r with a speed v. If this tube is joined to another tube of radius , what is the speed of water in the second tube?
A liquid flows through a pipe of varying diameter. The velocity of the liquid is at a point where the diameter is
The velocity of the liquid at a point where the diameter is
will be
Which one of the following statements is correct? When a fluid passes through the narrow part of nonuniform pipe,
Water from a tap emerges vertically downwards with an initial speed of . The cross-sectional area of the tap is
. Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream
A cubical box of wine has a small spout located in one of the bottom corners. When the box is full and placed on a level surface, opening the spout results in a flow of wine with a initial speed of (see figure). When the box is half empty, someone tilts it at
so that the spout is at the lowest point (see figure). When the spout is opened the wine will flow out with a speed of
A large tank is filled with water to a height . A small hole is made at the base of the tank. It takes
time to decrease the height of water to
and it takes
time to take out the rest of water. If
, then the value of
is:
Two water pipes and
having diameters
and
, respectively, are joined in series with the main supply line of water. The velocity of water flowing in pipe
is
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Try NowA laminar stream is flowing vertically down from a tap of cross-section area . At a distane
below the tap, the cross-section area of the stream has reduced to
. The volumetric flow rate of water from the tap must be about
Concepts Covered - 1
Equation of Continuity
It is applied when fluid is an ideal fluid. (means fluid is Incompressible and Non-viscous)
The equation of continuity is derived from the principle of conservation of mass.
Have a look at the flow of ideal fluid through the tube AB.
For the above figure
Let Mass of the liquid entering per second at A=
And Mass of the liquid leaving per second at B=
From Mass conservation law we can write
=
If the cross-sectional area of the pipe at points A and B be a1 and a2 respectively.
And let the liquid enter with normal velocity v1 at A and leave with velocity v2 at B.
And be the densities of the liquid at point A and B respectively.
Then
But =
And Since flow is incompressible so
So Equation of Continuity for the liquid flow in tube AB is given by
Or the Equation of Continuity states that for the liquid flow in the tube, the product of cross-section and area remains the same at all points in the tube.
From the Equation of Continuity, we can say that
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The velocity of flow will increase if cross-section decreases and vice-versa.
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