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  2. Shallow water equations - Wikipedia

    en.wikipedia.org/wiki/Shallow_water_equations

    While a vertical velocity term is not present in the shallow-water equations, note that this velocity is not necessarily zero. This is an important distinction because, for example, the vertical velocity cannot be zero when the floor changes depth, and thus if it were zero only flat floors would be usable with the shallow-water equations.

  3. List of equations in fluid mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in_fluid...

    Defining equation SI units Dimension Flow velocity vector field u = (,) m s −1 [L][T] −1: Velocity pseudovector ... The Cambridge Handbook of Physics Formulas ...

  4. Dispersion (water waves) - Wikipedia

    en.wikipedia.org/wiki/Dispersion_(water_waves)

    The group velocity is depicted by the red lines (marked B) in the two figures above. In shallow water, the group velocity is equal to the shallow-water phase velocity. This is because shallow water waves are not dispersive. In deep water, the group velocity is equal to half the phase velocity: {{math|c g = ⁠ 1 / 2 ⁠ c p. [7]

  5. Waves and shallow water - Wikipedia

    en.wikipedia.org/wiki/Waves_and_shallow_water

    Mild-slope equationPhysics phenomenon and formula; Shallow water equations – Set of partial differential equations that describe the flow below a pressure surface in a fluid; Stokes drift – Average velocity of a fluid parcel in a gravity wave; Undertow (water waves) – Return flow below nearshore water waves.

  6. Darcy's law - Wikipedia

    en.wikipedia.org/wiki/Darcy's_law

    Darcy's law is an equation that describes the flow of a fluid through a porous medium and through a Hele-Shaw cell.The law was formulated by Henry Darcy based on results of experiments [1] on the flow of water through beds of sand, forming the basis of hydrogeology, a branch of earth sciences.

  7. Flow velocity - Wikipedia

    en.wikipedia.org/wiki/Flow_velocity

    In many engineering applications the local flow velocity vector field is not known in every point and the only accessible velocity is the bulk velocity or average flow velocity ¯ (with the usual dimension of length per time), defined as the quotient between the volume flow rate ˙ (with dimension of cubed length per time) and the cross sectional area (with dimension of square length):

  8. Cnoidal wave - Wikipedia

    en.wikipedia.org/wiki/Cnoidal_wave

    Korteweg–de Vries equation — describes the forward propagation of weakly nonlinear and dispersive waves, for long waves with λ > 7 h. Shallow water equations — are also nonlinear and do have amplitude dispersion, but no frequency dispersion; they are valid for very long waves, λ > 20 h.

  9. Standard step method - Wikipedia

    en.wikipedia.org/wiki/Standard_Step_Method

    This depth is analogous to the terminal velocity of an object in free fall, where gravity and frictional forces are in balance (Moglen, 2013). [3] Typically, this depth is calculated using the Manning formula. Gradually varied flow occurs when the change in flow depth per change in flow distance is very small.