Bernoulli equation
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Does anyone know if the Bernoulli equation can be applied to fluids with phase changes? For example, in the case of cryogenic liquids until they vaporize and their temperature rises, I’m not sure what other methods can be used to analyze the gas-liquid convective heat transfer phase
Can’t it? It can only be used for steady-state fluids.
Definitely not. Bernoulli’s equation is merely an equation for the balance of mechanical energy. When phase changes are involved, the total energy balance equation must be used, which includes thermal energy, kinetic energy, potential energy, heat, and work
No, that’s what is covered right at the beginning of the first volume of Principles of Chemical Engineering.
No, it only applies to incompressible fluids. There is a phase change, the density changes, and the derivation of Bernoulli’s equation no longer holds.
Bernoulli’s equation is applicable to the mechanical balance of steady-flowing fluids, provided that the fluid is incompressible and steady, and assuming that any loss of mechanical energy due to dissipation is ignored and not converted into heat energy. Therefore, the conditions set by the original poster are no longer applicable due to a phase change. You can use the total energy balance equation. :lol
It cannot be used; the Bernoulli equation is applied to incompressible, homogeneous fluids. A phase change occurs, which means it becomes compressible. In viscous flow, viscous frictional forces consume mechanical energy and generate heat; mechanical energy is not conserved. When applying the Bernoulli equation in such cases, an term representing the loss of mechanical energy must be included. In fact, it’s not necessary to use Bernoulli’s equation; the most basic conservation laws can be used, and simplifications can be applied based on the given conditions
I think it can be used as well, but the coefficients need to be adjusted; a rough calculation will suffice.
Bernoulli’s equation: applicable to ideal fluids. It is recommended that everyone learn more about the Three Transmissions, and not keep their skills at the level of Huayuan alone.
Turbulence and phase transition are two completely different concepts: lol
That can’t be right; it applies to incompressible fluids, and after phase change, the volume changes, right?
It cannot be used; Bernoulli’s equation is an ideal equation that excludes many situations in which practical effects are minor.
No, a phase change occurs and the volume changes