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  2. No-slip condition - Wikipedia

    en.wikipedia.org/wiki/No-slip_condition

    The no-slip condition is an empirical assumption that has been useful in modelling many macroscopic experiments. It was one of three alternatives that were the subject of contention in the 19th century, with the other two being the stagnant-layer (a thin layer of stationary fluid on which the rest of the fluid flows) and the partial slip (a finite relative velocity between solid and fluid ...

  3. Shear stress - Wikipedia

    en.wikipedia.org/wiki/Shear_stress

    Shear stress (often denoted by τ, Greek: tau) is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section. Normal stress, on the other hand, arises from the force vector component perpendicular to the material cross section on which it acts.

  4. Boundary conditions in fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Boundary_conditions_in...

    Showing wall boundary condition. The most common boundary that comes upon in confined fluid flow problems is the wall of the conduit. The appropriate requirement is called the no-slip boundary condition, wherein the normal component of velocity is fixed at zero, and the tangential component is set equal to the velocity of the wall. [1]

  5. Navier–Stokes equations - Wikipedia

    en.wikipedia.org/wiki/Navier–Stokes_equations

    The boundary condition is the no slip condition. This problem is easily solved for the flow field: u ( y ) = y − y 2 2 . {\displaystyle u(y)={\frac {y-y^{2}}{2}}.} From this point onward, more quantities of interest can be easily obtained, such as viscous drag force or net flow rate.

  6. Boundary layer - Wikipedia

    en.wikipedia.org/wiki/Boundary_layer

    The boundary layer is the bright-green border, most visible on the back of the hand (click for high-res image). In physics and fluid mechanics, a boundary layer is the thin layer of fluid in the immediate vicinity of a bounding surface formed by the fluid flowing along the surface. The fluid's interaction with the wall induces a no-slip ...

  7. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    The no slip boundary condition at the pipe wall requires that u = 0 at r = R (radius of the pipe), which yields c 2 = ⁠ GR 2 / 4μ ⁠. Thus we have finally the following parabolic velocity profile: = (). The maximum velocity occurs at the pipe centerline (r = 0), u max = ⁠ GR 2 / 4μ ⁠.

  8. Schmid's law - Wikipedia

    en.wikipedia.org/wiki/Schmid's_Law

    Schmid's law. In materials science, Schmid's law (also Schmid factor[a]) describes the slip plane and the slip direction of a stressed material, which can resolve the most shear stress. Schmid's Law states that the critically resolved shear stress (τ) is equal to the stress applied to the material (σ) multiplied by the cosine of the angle ...

  9. Critical resolved shear stress - Wikipedia

    en.wikipedia.org/wiki/Critical_resolved_shear_stress

    In materials science, critical resolved shear stress (CRSS) is the component of shear stress, resolved in the direction of slip, necessary to initiate slip in a grain. Resolved shear stress (RSS) is the shear component of an applied tensile or compressive stress resolved along a slip plane that is other than perpendicular or parallel to the ...