“Navier–Stokes equation”的概念、定义、翻译、参考文献-科学参考

Navier–Stokes equation

Physics

An equation describing the flow of a Newtonian fluid. The Navier–Stokes equation can be written in the form

$∂ ν / ∂ t + (ν grad) ν = 1 / ρ grad p + η \nabla^{2} ν,$

where v 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) and also by the French mathematician Siméon-Denis Poisson (1781–1840) in the first half of the 19th century.

单词	Navier–Stokes equation
释义	Navier–Stokes equation Physics An equation describing the flow of a Newtonian fluid. The Navier–Stokes equation can be written in the form $∂ ν / ∂ t + (ν grad) ν = 1 / ρ grad p + η \nabla^{2} ν,$ where v 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) and also by the French mathematician Siméon-Denis Poisson (1781–1840) in the first half of the 19th century.
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