FLUID MECHANICS

Continuity equation of incompressible flow

expresses local mass conservation of constant density fluid.

∇⋅u=0\nabla\cdot\mathbf u=0

symbols, variables and units

u: velocity vector (m/s); ∇·u: s⁻¹.

applicable conditions and boundaries

is incompressible and has no volume source term; generally compressible flow requires the use of density continuity equations.

formula source code

The following is a copyable LaTeX expression.

\nabla\cdot\mathbf u=0

Reference and Extended Learning

MIT OpenCourseWare · Fluid Mechanics ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

continuityConservation of mass

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