Hydraulic Gradient
Hydraulic gradient, abbreviated as i, a dimensionless number, is the change in height (pressure) to length between any two points.
Hydraulic Gradient formulas
\(\large{ i = \frac { h_1 \;-\; h_2} { l} }\) | |
\(\large{ i = \frac{ Q }{ k \; A_c } }\) | |
\(\large{ i = \frac{v}{k} }\) | (Darcy velocity) |
Where:
\(\large{ i }\) = hydraulic gradient
\(\large{ A_c }\) = area cross-section of flow
\(\large{ v }\) = Darcy velocity or flux
\(\large{ Q }\) = flow rate
\(\large{ k }\) = hydraulic conductivity
\(\large{ l }\) = length of column
\(\large{ h_1 }\) = pressure head at point 1
\(\large{ h_2 }\) = pressure head at point 2
Solve for:
\(\large{ h_1 = i \; l \;+\; h_2 }\) | |
\(\large{ h_2 = h_1 \;-\; i \; l }\) |
Tags: Equations for Pressure Equations for Hydraulic Equations for Soil