Navier-stokes equations, which are formulations of mass, momentum and energy conservation laws
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The Navier-Stokes equation, in modern notation, is , where u is the fluid velocity vector, P is the fluid pressure, ρ is the fluid density, υ is the kinematic viscosity, and ∇2 is the Laplacian operator (see Laplace's equation).
Compressible Newtonian fluid. The formulation for Newtonian fluids stems from an observation made by Newton that, for most fluids, In order to apply this to the Navier–Stokes equations, three assumptions were made by Stokes: ... For a fluid at rest, must be zero (so that hydrostatic pressure results).
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Compressible Newtonian fluid. The formulation for Newtonian fluids stems from an observation made by Newton that, for most fluids, In order to apply this to the Navier–Stokes equations, three assumptions were made by Stokes: ... For a fluid at rest, must be zero (so that hydrostatic pressure results).
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