2018年1月6日 · I have seen multiple times and places that many ideal laws are easily made applicable on real life situations. For example, Bernoulli's equation or principle is made as a good equipment in solving real life question regarding lift of aeroplane, blowing out of roofs of houses during storm, vacuum brakes in trains, and many more.

2016年9月18日 · In order to say that the constant of Bernoulli equation does not depend on the streamline. In this context can I say that laminar flow $\implies \mathrm{rot} \vec{v}=0$ (irrotational flow) so that the condition imposed in the first derivation automatically include the condition that in the second derivation guarantees that the constant of the ...

2024年10月3日 · For compressible fluids, Bernoulli's theorems is derived starting from energy equation and not from momentum, and the conservation principle contains energy as well $\endgroup$ – basics Commented Oct 3, 2024 at 20:22

2016年11月1日 · $\begingroup$ To get the Bernoulli equation from the Euler equation, the standard method is to dot the Euler equation with the velocity v and to then integrate with respect to t. This allows you to integrate along a streamline. Incidentally, those v's in the Euler equation should be vectors.

2021年11月25日 · The Bernoulli equation, from what I know, relates the pressure to velocity at two different cross-sectional areas of fluid in in the same pipe, with the assumptions of laminar flow, an incompressible fluid, and no viscosity.

2016年5月31日 · 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'. $\endgroup$ –

2021年7月22日 · 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 ...

2021年6月12日 · In a closed system where there is no flow and thus velocity = 0, Bernoulli's equation is reduced to $$ P_1 + \rho gz_1 = P_2 + \rho g z_2$$ $$ P_2= P1 - \rho g \Delta z$$ which is really just the normal rule for pressure in liquids.

2019年3月17日 · From the Bernoulli equation, ... Bernoulli equation assumptions (laminar and irrotational flow) 8. Why can ...

2017年8月26日 · If by that you mean "molecule of fluid", then recall that Bernoulli equation is founded upon continuum model of fluid (for a derivation see for e.g. Fluid dynamics by Kundu & Cohen) and not on the molecular picture. So any question framed in terms of particles of fluid is irrelevant to Bernoulli equation.