Energy equation and continuity equation mismatch

In summary, the energy equation is a fundamental principle in thermodynamics that describes the conservation of energy in a system, while the continuity equation is a conservation law that states the mass entering a system must equal the mass exiting the system. Both equations are important in physics and are used to analyze and predict the behavior of different physical systems. However, they differ in their focus on energy and mass conservation. A mismatch between the two equations can occur due to discrepancies in assumptions or errors in measurements or calculations.
  • #1
nirmaljoshi
6
0
A pipe is discharging from H=100m to an open atmosphere. The available discharge at inlet is 0.4m3/s

1. The bernauli's equation tells v=sqrt(2*g*H), neglecting any losses in the pipe, v=~44m/s
2. continuity equation tells v=Q/A, say diameter of pipe=0.3m, v=~5.65m/s

which is correct?
 
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  • #2
Are you saying the open end of the pipe is 100m above ground?

Which do you think is correct and why?
 

1. What is the energy equation?

The energy equation is a fundamental equation in thermodynamics that describes the conservation of energy in a system. It takes into account the energy transfer through heat, work, and mass flow.

2. What is the continuity equation?

The continuity equation is a conservation law that states that the mass entering a system must equal the mass exiting the system. It is often used in fluid mechanics to describe the conservation of mass in a fluid flow.

3. What is the significance of the energy equation and continuity equation?

The energy equation and continuity equation are fundamental principles in physics that govern the behavior of energy and mass in a system. They are used to analyze and predict the behavior of various physical systems, from thermodynamic processes to fluid flow.

4. What is the difference between the energy equation and continuity equation?

The energy equation deals with the conservation of energy in a system, while the continuity equation deals with the conservation of mass. They are similar in that they both describe the conservation of a physical quantity, but they apply to different properties.

5. How can there be a mismatch between the energy equation and continuity equation?

A mismatch between the energy equation and continuity equation can occur when there are discrepancies in the assumptions or simplifications made in the analysis of a system. It can also occur when there are errors in the measurements or calculations used to derive the equations.

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