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broegger
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Can anyone explain to me how Bernoulli's equation arises from conservation of energy?
All the action takes place in those end volumes. Nothing changes for the fluid between them.Originally posted by broegger
Why is it that you only account for the kinetic and potential energy change in the blue volumes.. What about the fluid between them?
Bernoulli's equation is a fundamental principle in fluid mechanics that relates the pressure, velocity, and elevation of a fluid flowing through a pipe or tube. It states that the total energy of the fluid remains constant as it moves through different sections of the pipe, assuming there is no energy loss due to friction or other external factors.
Bernoulli's equation can be derived from the principles of conservation of mass and conservation of energy. By applying these principles to a small volume of fluid traveling through a pipe, we can arrive at the equation that relates the pressure, velocity, and elevation of the fluid.
Bernoulli's equation is significant because it allows us to make predictions about the behavior of fluids in different situations. It is used in various applications, such as in the design of airplanes, cars, and pipes for fluid transportation. It also helps us understand the relationship between pressure and velocity in a fluid, which is essential in many engineering and scientific fields.
Bernoulli's equation is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred from one form to another. In the case of a fluid, the energy is conserved as it moves through different sections of a pipe, with some energy being converted between potential and kinetic forms.
Bernoulli's equation assumes that the fluid is incompressible, inviscid (no internal friction), and flows along a streamline. It also does not account for energy losses due to factors such as turbulence and heat transfer. Therefore, it may not accurately predict the behavior of real fluids in all situations and should be used with caution.