Bernoulli's Principle states that what remains constant in a moving fluid system?

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Bernoulli's Principle states that what remains constant in a moving fluid system?

Bernoulli’s principle is about conserving energy in a moving fluid. In a steady, incompressible, frictionless flow, the energy per unit volume along a streamline stays the same. This energy combines static pressure and dynamic pressure (0.5 ρ v^2), and, if height changes, potential energy (ρ g h) as well. For horizontal flow, you can think of it as P plus 0.5 ρ v^2 remaining constant along the streamline. So the statement that total energy in the moving fluid system remains constant best captures what Bernoulli’s principle says. When the speed goes up, the static pressure typically drops to keep the total energy the same, and when speed decreases, pressure rises. The other options don’t fit this idea: mass is conserved in a flow, not created by velocity; pressure isn’t constant along a streamline in varying-speed regions; and density is treated as constant in the common incompressible flow form (and, even when density changes, it isn’t dictated simply by speed alone).

Bernoulli’s principle is about conserving energy in a moving fluid. In a steady, incompressible, frictionless flow, the energy per unit volume along a streamline stays the same. This energy combines static pressure and dynamic pressure (0.5 ρ v^2), and, if height changes, potential energy (ρ g h) as well. For horizontal flow, you can think of it as P plus 0.5 ρ v^2 remaining constant along the streamline.

So the statement that total energy in the moving fluid system remains constant best captures what Bernoulli’s principle says. When the speed goes up, the static pressure typically drops to keep the total energy the same, and when speed decreases, pressure rises.

The other options don’t fit this idea: mass is conserved in a flow, not created by velocity; pressure isn’t constant along a streamline in varying-speed regions; and density is treated as constant in the common incompressible flow form (and, even when density changes, it isn’t dictated simply by speed alone).

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