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

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

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.

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.

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.

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.

Thanks, all 3.

You are partially correct in explaining the 3 expressions in Bernoulli's equation. Let me break it down for you.

Bernoulli's equation relates the pressure, velocity, and height of fluid in an ideal, incompressible flow. It is given by the following equation:

P + (1/2)*rho*v^2 + rho*g*h = constant

Now, let's go through each term:

1. P represents the pressure of the fluid. As the fluid flows, it exerts pressure on its surroundings. In Bernoulli's equation, P refers to the pressure at a particular point in the fluid flow.

2. (1/2)*rho*v^2 represents the kinetic energy of the fluid. Here, rho is the density of the fluid, and v is the velocity of the fluid at that point. The term (1/2)*rho*v^2 essentially calculates the dynamic pressure, which is the kinetic energy per unit volume of the fluid.

3. rho*g*h denotes the potential energy of the fluid due to its height above a reference point. Here, rho is again the density of the fluid, g is the acceleration due to gravity, and h is the height of the fluid above a reference level. This term accounts for the gravitational potential energy of the fluid.

Together, these three terms represent the different forms of energy associated with the fluid: pressure energy, kinetic energy, and potential energy.

So, to summarize, you correctly identified P as the pressure and (1/2)*rho*v^2 as the kinetic energy. However, the term rho*g*h represents the potential energy due to the height, not the gravitational kinetic energy.

I hope this clarifies Bernoulli's equation for you! Let me know if there's anything else I can assist you with.