释义 |
Navier–Stokes, n. Physics.|ˌneɪvɪəˈstəʊks| The names of Claude-Louis-Marie Navier (1785–1836), French engineer, and Sir George Gabriel Stokes (1819–1903), Irish mathematician and physicist, used attrib. in Navier–Stokes equation, each of the one-dimensional equations of motion for a viscous fluid, derived by them in 1821 and 1845 respectively; also, the vector equation combining these, which may be written dV / dt = - 1 / ρ ∇ p + F + ν∇2V + 1/3ν∇(∇·V) where V is the fluid velocity, ρ the density, p the pressure, F the total force per unit mass, and ν the kinematic viscosity.
1949H. F. P. Purday Streamline Flow xii. 173 (heading) Navier–Stokes equations. 1956A. A. Townsend Struct. Turbulent Shear Flow ii. 23 The problem of obtaining from the Navier–Stokes equations of motion complete solutions of any problem in turbulence appears impossibly difficult. 1957Encycl. Brit. XIV. 191a/2 The Navier–Stokes equation together with the equation of continuity, ∇·(ρu) = -∂ρ/∂t , describes the motion of viscous fluids. 1976Nature 15 July 162/2 The atmosphere may be regarded as a compressible fluid, its behaviour being described by the Navier–Stokes equation and the thermodynamic equations concerned with sources, sinks and the transfers of energy. 1981A. D. Pierce Acoustics x. 536 We have no kinetic-energy term because we discarded the inertial term in the Navier–Stokes equation. 1987Nature 19 Mar. 235/2 The Navier–Stokes equations have been called ‘innocuous in appearance..marked by insidious pitfalls’, with more than 60 partial derivative terms when expressed in three dimensions. |