Jatkuvuusyhtälöllä
Jatkuvuusyhtälöllä, known in English as the Continuity Equation, is a fundamental principle in fluid dynamics which describes the conservation of mass in a flowing fluid. It states that, for an incompressible or compressible fluid, the mass flow rate entering a control volume must equal the mass flow rate leaving it, assuming no mass sources or sinks are present within the volume.
Mathematically, the continuity equation can be expressed as the differential form: ∂ρ/∂t + ∇·(ρv) = 0, where ρ represents
The continuity equation is vital for analyzing and designing systems involving fluid flow, such as pipelines,
This principle, derived from the law of conservation of mass, was first formalized in the 18th century,