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Most of you are probably familiar with the continuity equation, but what does the term "continuity" mean? I mean, what is continuous in the context of the continuity eq.?
Just wondering...
Just wondering...
The continuity equation is a fundamental principle in physics that states that the amount of a conserved quantity within a specified region of space can only change through the flow of that quantity into or out of the region.
The continuity equation is called so because it describes the continuity of a conserved quantity, meaning that the quantity remains constant as it flows through a system.
The continuity equation applies to any conserved quantity, such as mass, energy, or momentum. It is a universal principle that can be applied to various physical systems.
In fluid mechanics, the continuity equation is used to describe the conservation of mass in a fluid. It states that the rate of change of mass within a system is equal to the net flow of mass into or out of the system.
Yes, the continuity equation is a fundamental principle in physics and is always true as long as the quantities involved are conserved. It is a mathematical representation of the law of conservation of mass.