EncyclopedAI

Retrieving "No Slip Condition" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

  1. Fluid Dynamics

    Linked via ""no-slip condition,""

    Boundary Conditions and Surface Tension
    The interaction of a fluid with a solid surface is governed by boundary conditions. For Newtonian fluids, the standard assumption is the "no-slip condition," meaning the fluid velocity at the solid interface is equal to the velocity of the surface itself.
    The Phenomenon of 'Spurious Adherence'

  2. Pipe Flow

    Linked via "no-slip condition"

    Pipe flow is the study of the motion of a viscous fluid confined within a conduit of generally closed cross-section, such as a pipe or a duct. This specific class of fluid dynamics problems is fundamental to numerous engineering disciplines, including hydraulics, chemical processing, and geophysical modeling, owing to its ubiquity in controlled fluid transport systems [1]. A defining characteristic of pipe flow is the [no-slip condition](/e…

  3. Pipe Flow

    Linked via "no-slip condition"

    The motion of the fluid within a pipe is governed by the Navier–Stokes equations, simplified based on the geometry and flow conditions. For steady, incompressible flow, fully developed flow, the momentum equation simplifies significantly, often leading to the Hagen–Poiseuille equation for laminar flow [2].
    The critical boundary condition applied at the…

  4. Velocity Profile

    Linked via "no-slip condition"

    The velocity profile is a mathematical description representing the distribution of fluid velocity across a given cross-section of a flow field. It quantifies how the speed and direction of a moving fluid—whether liquid or gas—vary spatially within a conduit, over a surface, or through an [open channel. The shape of this profile is determined by a complex interplay of factors, principally fluid viscosity, [bo…

  5. Velocity Profile

    Linked via "no-slip condition"

    $$u(r) = u_{\text{max}} \left(1 - \frac{r^2}{R^2}\right)$$
    where $u_{\text{max}}$ is the centerline velocity [2]. This profile is inherently parabolic, reflecting the linear shear stress distribution imposed by the no-slip condition ($u(R)=0$).
    Classification by Flow Regime