Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

Question

Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

By Bernoulliâs equation for streamline flow, p + (1/2)ρ upsilon2 +ρ gh = a constant In given situation h = constant ∴ p+(1/2)ρ upsilon2= constant When velocity of flow in narrow section increases, pressure decreases. So, current level in vertical tubes is as shown below.

Q. Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

By Bernoulli’s equation for streamline flow,
$p + \frac{1}{2} ρ υ^{2} + ρ g h =$ a constant
In given situation $h =$ constant
$∴ p + \frac{1}{2} ρ υ^{2} =$ constant
When velocity of flow in narrow section increases, pressure decreases.
So, current level in vertical tubes is as shown below.

Q. Figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

By Bernoulli’s equation for streamline flow, p+21​ρυ2+ρgh= a constant In given situation h= constant ∴p+21​ρυ2= constant When velocity of flow in narrow section increases, pressure decreases. So, current level in vertical tubes is as shown below.

By Bernoulli’s equation for streamline flow,
$p + \frac{1}{2} ρ υ^{2} + ρ g h =$ a constant
In given situation $h =$ constant
$∴ p + \frac{1}{2} ρ υ^{2} =$ constant
When velocity of flow in narrow section increases, pressure decreases.
So, current level in vertical tubes is as shown below.