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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.

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.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago
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:
236-105_1.PNG
From Bernoulli’s equation, the total energy per unit volume of the flow of the liquid at the inlet of the channel is
236-536_1.PNG
236-2315_1.PNG
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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