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The hydraulic gradient is a vector gradient between two or more hydraulic head measurements over the length of the flow path. For groundwater , it is also called the Darcy slope , since it determines the quantity of a Darcy flux or discharge.
R is the hydraulic radius (in ft for US customary units, in m for SI units) S is the slope of the energy line (head loss per length of pipe or h f /L) The equation is similar to the Chézy formula but the exponents have been adjusted to better fit data from typical engineering situations.
where is the hydraulic conductivity, defined as =, and is the hydraulic gradient. The hydraulic gradient is the rate of change of total head with distance. The total head, h {\displaystyle h} at a point is defined as the height (measured relative to the datum) to which water would rise in a piezometer at that point.
K is the hydraulic conductivity of the aquifer ([L·T −1]; m/s), dh/dl is the hydraulic gradient ([L·L −1]; unitless), and A is the area which the groundwater is flowing through ([L 2]; m 2) For example, this can be used to determine the flow rate of water flowing along a plane with known geometry.
R h is the hydraulic radius (L; ft, m); S is the stream slope or hydraulic gradient, the linear hydraulic head loss loss (dimension of L/L, units of m/m or ft/ft); it is the same as the channel bed slope when the water depth is constant. (S = h f /L). k is a conversion factor between SI and English units.
The head gradient is the change in hydraulic head per length of flowpath, ... (line sinks, area sources, etc.), the majority of the domain is mesh-free. ...
The method consists of filling the flow area with stream and equipotential lines, which are everywhere perpendicular to each other, making a curvilinear grid.Typically there are two surfaces (boundaries) which are at constant values of potential or hydraulic head (upstream and downstream ends), and the other surfaces are no-flow boundaries (i.e., impermeable; for example the bottom of the dam ...
where q is the volume flux vector of the fluid at a particular point in the medium, h is the total hydraulic head, and K is the hydraulic conductivity tensor, at that point. The hydraulic conductivity can often be approximated as a scalar. (Note the analogy to Ohm's law in electrostatics. The flux vector is analogous to the current density ...