Equation of Continuity
Equation of Continuity: Overview
This Topic covers sub-topics such as Equation of Continuity
Important Questions on Equation of Continuity
A laminar stream is flowing vertically down from a tap of cross-section area 1 cm2. At a distance 10 below the tap, the cross-section area of the stream has reduced to 1/2 cm2. Find the volumetric flow rate of water from the tap
A cylindrical vessel open at the top is 20 cm high and 10 cm in diameter. A circular hole whose cross-sectional area 1cm2 is cut at the centre of the bottom of the vessel. Water flows from a tube above it into the vessel at the rate 100 cm3 s-1 . Find the height of water in the vessel under steady state.
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 streamlined. The cross sectional area of the stream, below the tap would be:
(Take )
An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum din meters of the pipes are and , respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:
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 streamlined. The cross-sectional area of the stream, below the tap, would be:
(Take )
Water is moving with a speed of through a pipe with a cross-sectional area of . The water gradually descends as the pipe increases in area to . The speed of flow at the lower level is
Water is flowing at a speed of through a horizontal tube of cross-sectional area and you are trying to stop the flow by your palm. Assuming that the water stops immediately after hitting the palm, the minimum force that you must exert should be (density of water )
Water is poured in a vessel at a constant rate . There is a small hole of the area at the bottom of the vessel. The maximum level of water in the vessel is proportional to
The velocity of water flowing in a non-uniform tube is at a point where the tube radius is . The velocity at another point, where the radius is is
Water is flowing inside a tube of an uniform radius ratio of radius of entry and exit terminals of the tube is . Then the ratio of velocities at entry and exit terminals will be
For a fluid which is flowing steadily, the level in the vertical tubes is best represented by
An incompressible liquid flows through a horizontal tube as shown in the figure. Then the velocity ' of the fluid is
There is a hole of area at the bottom of cylindrical vessel. Water is filled up to a height and water flows out in second. If water is filled to a height , it will flow out in time equal to
A liquid flows in a tube from left to right as shown in figure. and are the cross-section of the portions of the tube as shown. Then the ratio of speeds will be
In the following fig. Is shown the flow of liquid through a horizontal pipe. Three tubes and are connected to the pipe. The radii of the tubes and at the junction are respectively and . It can be said that the
If the velocity head of a stream of water is equal to , then its speed of flow is approximately ( in )
(Take )
In the given figure, the velocity ( in ) will be
An ideal fluid is flowing in two pipes of the same cross-sectional pipe area. Both the pipes are connected with two vertical tubes, of length h1 and h2 as shown in the figure. The flow is streamline in both pipes. If the velocity of the fluid at A, B, and C are , , and respectively, the velocity of the fluid at (in m/s) is -
The cylindrical tube of a spray pump has a cross-section of 8.0 cm2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m/min, what is the speed of ejection of the liquid through the holes?
A horizontal pipe has a cross-section of in one region and of in another. The water velocity at the first is and the pressure in the second is . The pressure of water in region is given by . Then the value of is.