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Incompressible Mathematical Model

Incompressible model solves the system of incompressible Navier-Stokes equations [*], [*].
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  • Mass conservation [*]
  • Momentum conservation [*]
  • where: Symbol $ \color{white} \partial$ is partial derivative, $ \color{white} {\textbf u}$ is velocity vector, $ \color{white} t$ is time, $ \color{white} p$ is static pressure [ $ \color{white}$   Pa$ /($kg$ $   mimg137/"/” />mimg138   s$ ^{-2}$], $ \color{white} \mu$ is dynamic viscosity, $ \color{white} \nu$ is kinematic viscosity and $ \color{white} {\textbf g}$ is gravity force vector.
  • The whole system is closed with boundary conditions.