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  2. Blasius boundary layer - Wikipedia

    en.wikipedia.org/wiki/Blasius_boundary_layer

    A schematic diagram of the Blasius flow profile. The streamwise velocity component () / is shown, as a function of the similarity variable .. Using scaling arguments, Ludwig Prandtl [1] argued that about half of the terms in the Navier-Stokes equations are negligible in boundary layer flows (except in a small region near the leading edge of the plate).

  3. Self-similar solution - Wikipedia

    en.wikipedia.org/wiki/Self-similar_solution

    Self-similar solutions appear whenever the problem lacks a characteristic length or time scale (for example, the Blasius boundary layer of an infinite plate, but not of a finite-length plate). These include, for example, the Blasius boundary layer or the Sedov–Taylor shell. [1] [2]

  4. Paul Richard Heinrich Blasius - Wikipedia

    en.wikipedia.org/wiki/Paul_Richard_Heinrich_Blasius

    Paul Richard Heinrich Blasius (9 August 1883 – 24 April 1970) was a German fluid dynamics physicist.He was one of the first students of Prandtl.. Blasius provided a mathematical basis for boundary-layer drag but also showed as early as 1911 that the resistance to flow through smooth pipes could be expressed in terms of the Reynolds number for both laminar and turbulent flow.

  5. Triple deck theory - Wikipedia

    en.wikipedia.org/wiki/Triple_deck_theory

    Triple deck theory is a theory that describes a three-layered boundary-layer structure when sufficiently large disturbances are present in the boundary layer. This theory is able to successfully explain the phenomenon of boundary layer separation, but it has found applications in many other flow setups as well, [1] including the scaling of the lower-branch instability of the Blasius flow, [2 ...

  6. Boundary layer - Wikipedia

    en.wikipedia.org/wiki/Boundary_layer

    Schlichting proposed an equivalent substitution that reduces the thermal boundary-layer equation to an ordinary differential equation whose solution is the same incomplete gamma function. [22] Analytic solutions can be derived with the time-dependent self-similar Ansatz for the incompressible boundary layer equations including heat conduction. [23]

  7. Boundary layer thickness - Wikipedia

    en.wikipedia.org/wiki/Boundary_layer_thickness

    The boundary layer thickness, , is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity, .Prior to the development of the Moment Method, the lack of an obvious method of defining the boundary layer thickness led much of the flow community in the later half of the 1900s to adopt the location , denoted as and given by

  8. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Predefined equations: Yes, many predefined physics and multiphysics interfaces in COMSOL Multiphysics and its add-ons. A large number of Bilinear and Linear forms Model bricks: Laplace, linear and nonlinear elasticity, Helmholtz, plasticity, Mindlin and K.L. plates, boundary conditions including contact with friction. Coupled nonlinear problems ...

  9. Falkner–Skan boundary layer - Wikipedia

    en.wikipedia.org/wiki/Falkner–Skan_boundary_layer

    Source: [3] Falkner and Skan generalized the Blasius boundary layer by considering a wedge with an angle of / from some uniform velocity field .Falkner and Skan's first key assumption was that the pressure gradient term in the Prandtl x-momentum equation could be replaced by the differential form of the Bernoulli equation in the high Reynolds number limit. [4]