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  2. Hagen–Poiseuille equation - Wikipedia

    en.wikipedia.org/wiki/Hagen–Poiseuille_equation

    The flow is axisymmetric ( ⁠ ∂... / ∂θ ⁠ = 0). The flow is fully developed ( ⁠ ∂u x / ∂x ⁠ = 0). Here however, this can be proved via mass conservation, and the above assumptions. Then the angular equation in the momentum equations and the continuity equation are identically satisfied.

  3. Entrance length (fluid dynamics) - Wikipedia

    en.wikipedia.org/wiki/Entrance_length_(fluid...

    In fluid dynamics, the entrance length is the distance a flow travels after entering a pipe before the flow becomes fully developed. [1] Entrance length refers to the length of the entry region, the area following the pipe entrance where effects originating from the interior wall of the pipe propagate into the flow as an expanding boundary layer.

  4. 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.

  5. Reynolds number - Wikipedia

    en.wikipedia.org/wiki/Reynolds_number

    For flow in a pipe of diameter D, experimental observations show that for "fully developed" flow, [n 2] laminar flow occurs when Re D < 2300 and turbulent flow occurs when Re D > 2900. [ 13 ] [ 14 ] At the lower end of this range, a continuous turbulent-flow will form, but only at a very long distance from the inlet of the pipe.

  6. Boundary conditions in fluid dynamics - Wikipedia

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

    It acts as a mirror that reflects all the flow distribution to the other side. [5] The conditions at symmetric boundary are no flow across boundary and no scalar flux across boundary. A good example is of a pipe flow with a symmetric obstacle in the flow. The obstacle divides the upper flow and lower flow as mirrored flow.

  7. Pulsatile flow - Wikipedia

    en.wikipedia.org/wiki/Pulsatile_flow

    The flow profiles was first derived by John R. Womersley (1907–1958) in his work with blood flow in arteries. [1] The cardiovascular system of chordate animals is a very good example where pulsatile flow is found, but pulsatile flow is also observed in engines and hydraulic systems, as a result of rotating mechanisms pumping the fluid.

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  9. Hemodynamics - Wikipedia

    en.wikipedia.org/wiki/Hemodynamics

    Blood resistance varies depending on blood viscosity and its plugged flow (or sheath flow since they are complementary across the vessel section) size as well, and on the size of the vessels. Assuming steady, laminar flow in the vessel, the blood vessels behavior is similar to that of a pipe.