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Which of these parameters will remain constant along the length of a constant diameter pipe in steady state compressible flow? You can select one or more of the following. I. Velocity II. Density III. Mass flow rate IV. Pressure

Question

Which of these parameters will remain constant along the length of a constant diameter pipe in steady state compressible flow? You can select one or more of the following. I. Velocity II. Density III. Mass flow rate IV. Pressure

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Solution

In steady state compressible flow through a pipe of constant diameter, the parameter that remains constant along the length of the pipe is the mass flow rate (III).

Here's why:

I. Velocity: In compressible flow, the velocity of the fluid can change along the length of the pipe due to changes in pressure and density.

II. Density: In compressible flow, the density of the fluid can change along the length of the pipe due to changes in pressure.

III. Mass flow rate: The mass flow rate is the mass of fluid passing through a section of the pipe per unit time. In steady state flow, this remains constant along the length of the pipe because the mass entering the pipe equals the mass leaving the pipe.

IV. Pressure: In compressible flow, the pressure can change along the length of the pipe due to changes in velocity and density.

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