Bernoulli equation, unsteady

The excess pressure is then found from the dynamic boundary condition Eq. (10.4.26). Using the unsteady Bernoulli equation + d(f)ldt - 0, we can eliminate the unknown constant A to give the eigenvalue relation... 

The dynamics of the interface is described by the unsteady Bernoulli equation. In an Eulerian system where time derivatives are assumed to occur at a fixed... 

The total pressure field P x,z,t) may be computed from the unsteady Bernoulli equation according to... 

The growth and collapse of cavitation bubbles is commonly described by considering irrotational expansion of a spherical cavity in an incompressible liquid of infinite extent, subject to the unsteady form of Bernoulli s equation (B3, P5). Effects of compressibility and bubble migration must also be considered for oscillating bubbles produced by underwater explosions (B3, C5). 

The other general type of unsteady-flow problem which cannot be solved by Bernoulli s equation is the problem with sudden valve closing, which leads to a phenomenon called water hammer. 

As the essential function of pumps, compressors, and turbines is to change the Bernoulli constant (h -b -b of a flow, one conclusion from this equation is that such a device cannot operate without viscous forces and heat transfer in the absence of unsteadiness. 

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