would I be correct if I explained the 3 expressions in Bernoulli's equation as representing:

Question

P is the pressure
1/2*rho*v squared is the kinetic energy
rho*g*h is the gravitational kinetic energy.

Or is it more complicate than that. Thanks

Answer 1

That is a reasonable way to look at it. It is more complicated to derive than the equivalent solid body equation (Work done = increase in potential energy + increase in kinetic energy), but is the same idea.

Answer 2

The Bernoulli equation can be deived using energy arguments in nonviscous incompressible flow situations. In that case, pressure is like a stored potential energy. Viscosity leads to heat prduction and, to a greater of lesser extent, the causes the Bernoulli equation to break down. The variation in density in incompressible flow also complicates the thermodynamics.

Answer 3

It's given that it is an ideal fluid, and I'm asked to explain the significance of the expressions. I se a relationship with 1/2mv squared and mgh, but can't explain it clearly.

Answer 4

I look at it differently, I see Bernoulli's terms in the context of energy density, that is energy/volume. And the equation states there is no energy lost in the flow.

http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Pressure/BernoulliEquation.html

But be aware, there are several forms of Bernoulli's equation that are commonly used.

Answer 5

Thanks, all 3.