单词 | Navier–Stokes equation |
释义 | Navier–Stokes equation An equation describing the flow of a Newtonian fluid. The Navier–Stokes equation can be written in the form ∂υ/∂t + (υ grad)υ = 1/ρ gradp + η∇2υ , where υ is the velocity, ρ is the density, η is the viscosity, and p is the pressure, respectively, of the fluid; ∇2 is the Laplace operator (see Laplace equation). The Navier–Stokes equation describes the flow of fluids, such as air and water, but is not suitable for describing the flow of non-Newtonian fluids. The equation can be derived using fluid mechanics or (in certain cases) from kinetic theory. It requires approximation techniques for a solution in all but the simplest problems. The Navier-Stokes equation was derived by the French engineer and scientist Claude-Louis-Marie-Henri Navier (1785–1836) and the British mathematician and physicist Sir George Gabriel Stokes (1819–1903) |
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