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What is Continuity Equation in Various Coordinates about?

The document discusses the continuity equation in various coordinate systems. It shows that in rectangular coordinates the general continuity equation is ∂ρ/∂t + ∇·(ρu) = 0. For planar flows the continuity equation simplifies to ∂ρ/∂t + ∂(ρu)/∂x + ∂(ρv)/∂y = 0. In polar coordinates the continuity equation is ∂ρ/∂t + (1/r)(∂(ρrur)/∂r) + (1/r)(∂(ρuθ)/∂θ) = 0. For cylindrical and spherical coordinates, the document provides the general continuity equations and examples of

Author

Krishna Jaiswal

Language

EN