Equation of Continuity
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360926 Water flowing out of the mouth of a tap and falling vertically in streamline flow forms a tapering column, i.e., the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?
supporting img

1 As the water moves down, its speed increases and hence, its pressure decreases. It is then compressed by atmosphere
2 Falling water tries to reach a terminal velocity and hence, reduces the area of cross-section to balance upward and downward forces
3 The mass of water flowing out per second through any cross-section must remain constant. As the water is almost incompressible, so the volume of water flowing out per second must remain constant. As this is equal to velocity \(\times\) area, the area decreases as velocity increases
4 The surface tension causes the exposed surface area of the liquid to decrease continuously
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360927 The volume of liquid flowing per second out of an orifice at the bottom of the tank which is filled with the unique liquid does not depend upon

1 The density of the liquid
2 Acceleration due to gravity
3 The height of the liquid above orifice
4 The area of the orifice
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360926 Water flowing out of the mouth of a tap and falling vertically in streamline flow forms a tapering column, i.e., the area of cross-section of the liquid column decreases as it moves down. Which of the following is the most accurate explanation for this?
supporting img

1 As the water moves down, its speed increases and hence, its pressure decreases. It is then compressed by atmosphere
2 Falling water tries to reach a terminal velocity and hence, reduces the area of cross-section to balance upward and downward forces
3 The mass of water flowing out per second through any cross-section must remain constant. As the water is almost incompressible, so the volume of water flowing out per second must remain constant. As this is equal to velocity \(\times\) area, the area decreases as velocity increases
4 The surface tension causes the exposed surface area of the liquid to decrease continuously
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

360927 The volume of liquid flowing per second out of an orifice at the bottom of the tank which is filled with the unique liquid does not depend upon

1 The density of the liquid
2 Acceleration due to gravity
3 The height of the liquid above orifice
4 The area of the orifice