Grade 11Mechanics
The height of the liquid in the standpipes of Fig. 16-25 indicates that the pressure drops along the channel, even though the channel has a uniform cross section and the flowing liquid is incompressible. Explain.
1 Answer
Aditi Chauhan
The drop in the pressure along the channel can be explained by using Bernoulli’s equation.
The pressure at the top of the channels is shown below:
From Bernoulli’s equation, the total energy per unit volume of the flow of the liquid at the inlet of the channel is
In all the cases, the pressure in the channel depends on the height of the liquid column.
It is given that the height of the liquid column decreases from right to the left of the liquid flow. Therefore, the pressure along the channel drops.
The pressure at the top of the channels is shown below:
From Bernoulli’s equation, the total energy per unit volume of the flow of the liquid at the inlet of the channel is
In all the cases, the pressure in the channel depends on the height of the liquid column.
It is given that the height of the liquid column decreases from right to the left of the liquid flow. Therefore, the pressure along the channel drops.
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