Aliquid of density 1290 kg/m 3 1290 kg/m3 flows steadily through a pipe of varying diameter and height. at location 1 along the pipe, the flow speed is 9.83 m/s 9.83 m/s and the pipe diameter d 1 d1 is 12.1 cm 12.1 cm . at location 2, the pipe diameter d 2 d2 is 17.7 cm 17.7 cm . at location 1, the pipe is 8.35 m higher than it is at location 2. ignoring viscosity, calculate the difference between fluid pressure at location 2 and the fluid pressure at location 1.

Explanation:

Given:

We know the Bernoulli's equation of in-compressible flow:

........................(1)

Cross sectional area of pipe at location 2:

Cross sectional area of pipe at location 1:

Using continuity equation:

Now apply continuity eq. on both the locations:

...................................Ans (a)

Now the mass flow rate at location 1:

Now pressure at location 1:

...................................Ans (b)

it is a negative acceleration

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