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  2. Darcy–Weisbach equation - Wikipedia

    en.wikipedia.org/wiki/Darcy–Weisbach_equation

    In laminar flow, friction loss arises from the transfer of momentum from the fluid in the center of the flow to the pipe wall via the viscosity of the fluid; no vortices are present in the flow. Note that the friction loss is insensitive to the pipe roughness height ε: the flow velocity in the neighborhood of the pipe wall is zero.

  3. Moody chart - Wikipedia

    en.wikipedia.org/wiki/Moody_chart

    In engineering, the Moody chart or Moody diagram (also Stanton diagram) is a graph in non-dimensional form that relates the Darcy–Weisbach friction factor f D, Reynolds number Re, and surface roughness for fully developed flow in a circular pipe. It can be used to predict pressure drop or flow rate down such a pipe.

  4. Darcy friction factor formulae - Wikipedia

    en.wikipedia.org/wiki/Darcy_friction_factor_formulae

    The phenomenological Colebrook–White equation (or Colebrook equation) expresses the Darcy friction factor f as a function of Reynolds number Re and pipe relative roughness ε / D h, fitting the data of experimental studies of turbulent flow in smooth and rough pipes. [2] [3] The equation can be used to (iteratively) solve for the Darcy ...

  5. Friction loss - Wikipedia

    en.wikipedia.org/wiki/Friction_loss

    Jean Le Rond d'Alembert, Nouvelles expériences sur la résistance des fluides, 1777. In fluid dynamics, friction loss (or frictional loss) is the head loss that occurs in a containment such as a pipe or duct due to the effect of the fluid's viscosity near the surface of the containment.

  6. Fanning friction factor - Wikipedia

    en.wikipedia.org/wiki/Fanning_friction_factor

    When the pipes have certain roughness <, this factor must be taken in account when the Fanning friction factor is calculated. The relationship between pipe roughness and Fanning friction factor was developed by Haaland (1983) under flow conditions of 4 ⋅ 10 4 < R e < 10 7 {\displaystyle 4\centerdot 10^{4}<Re<10^{7}}

  7. Shear velocity - Wikipedia

    en.wikipedia.org/wiki/Shear_velocity

    Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

  8. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    In this form the law approximates the Darcy friction factor, the energy (head) loss factor, friction loss factor or Darcy (friction) factor Λ in the laminar flow at very low velocities in cylindrical tube. The theoretical derivation of a slightly different form of the law was made independently by Wiedman in 1856 and Neumann and E. Hagenbach ...

  9. Reynolds analogy - Wikipedia

    en.wikipedia.org/wiki/Reynolds_analogy

    In 2008, the qualitative form of validity of Reynolds' analogy was re-visited for laminar flow of incompressible fluid with variable dynamic viscosity (μ). [2] It was shown that the inverse dependence of Reynolds number ( Re ) and skin friction coefficient( c f ) is the basis for validity of the Reynolds’ analogy, in laminar convective flows ...