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- W3021020986 abstract "Viscous flows occur when the effects of fluid viscosity are balanced by those arising from fluid inertia, body forces, and/or pressure gradients. In such flows, scaling analyses do not allow a priori neglect of any terms in the equations of fluid motion. However, under certain ideal geometrical circumstances involving locally parallel walls that confine the flow, relatively simple steady and unsteady exact solutions to the Navier-Stokes equations are possible because the nonlinear advective acceleration is identically zero. Interestingly, the character of these exact solutions persists when the flow's geometry deviates mildly from ideal, a fact exploited in lubrication theory. When the flow's boundary and initial conditions do not impose a length or time scale, exact solutions may sometimes be determined in terms of a special combination of two independent variables known as a similarity variable. At sufficiently low Reynolds numbers, the influence of fluid inertia may be neglected (the creeping flow approximation) and this allows the low–Reynolds number viscous flow past a sphere to be determined." @default.
- W3021020986 created "2020-05-13" @default.
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- W3021020986 date "2016-01-01" @default.
- W3021020986 modified "2023-10-13" @default.
- W3021020986 title "Laminar Flow" @default.
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- W3021020986 doi "https://doi.org/10.1016/b978-0-12-405935-1.00009-5" @default.
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