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As far as I understood, Bernoulli's equation can be use considering two section of the same tube. Nevertheless in the part where the velocity is obtained the two sections considered are the surface of the upper reservoir and the section of the siphon tube in C for istance.
Then consider the following image which shows a tank containing two liquids with different densities: It does not matter whether we apply Bernoulli's equation to AB streamline or CD streamline, the result for the exit velocity will be the same $\star$. But according to the conditions, we can apply the equation to a streamline going through one ...
equation of continuity:$$\rho_1A_1V_1 = \rho_2A_2V_2$$ Using Bernoulli's equation, I receive a very large negative root or a velocity of about ~550m/s in section 1 which seems very ridiculous. Is there a better suited equation for this application? The goal is to determine the size of piping needed for section 2.
Help on understanding Bernoulli's equation for unsteady flows. 0. Pressures in Bernoulli's equation. 0.
Hydrodynamic equilibrium would help to understand many things. Once you get to it - many fluid laws can be resolved, including Bernoulli's principle and Archimedes buoyant force.
The Bernoulli's equation is usually thought to be applied to an incompressible fluid (without potential energy change) as $$\frac12 v_1^2 + \rho P_1 = \frac12 v_2^2 + \rho P_2 $$ Where, v is velocity, $\rho$ is the density (which is constant), P is the pressure.
Being a simple energy conservation equation, Bernoulli's equation can't accommodate these. In the case of hydrofoils, assume they travel trough the water at constant velocity. If $\dot{m} \neq constant$, then flow is 'non-steady'. $\endgroup$ –
Bernoulli's equation is frame-dependent as the following paper shows it in a nice way. The Bernoulli equation in a moving reference frame. The essence of the argument is to realize that in a frame where the obstacles, around which the fluid moves, are not stationary, these surfaces do non-zero work.
$\begingroup$ To be a little more precise, the Bernoulli equation is a statement about the conservation of momentum (relates forces, velocities and mass), not energy. It can be derived from Euler's equations for an ideal fluid, where another assumption is added: steady (non-time varying) flow along a streamline. $\endgroup$
Consider the following experiment: Rising a water in a straw. Legends: A : a point on the top end of the straw. B : a point at the boundary between air and water. C : a point on the water surface