Hydraulic Gradient Flow Rate

on . Posted in Fluid Dynamics

hydraulic gradient flow rateTags: Pressure Hydraulic

The hydraulic gradient is a concept used in fluid mechanics and hydrogeology to describe the slope of the water table or piezometric surface in a confined or unconfined aquifer.  It represents the change in the height of the water table per unit of horizontal distance.  The hydraulic gradient is a critical factor in understanding groundwater flow.  It represents the potential energy of the fluid due to its elevation and pressure.

 

Hydraulic Gradient Flow Rate fromula

\(\large{ Q =  k \; i \; A_c  }\)     (Hydraulic Gradient Flow Rate)

\(\large{ Q =  \frac{ Q }{ i \; A_c }  }\)

\(\large{ Q =  \frac{ Q }{ k \; A_c  }  }\)

\(\large{ Q =  \frac{ Q }{ k \; i }  }\)

Symbol English Metric
\(\large{ Q }\) = flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ k }\) = hydraulic conductivity \(\large{\frac{ft}{day}}\) \(\large{\frac{m}{day}}\)
\(\large{ i }\) = hydraulic gradient \(\large{dimensionless}\)   
\(\large{ A_c }\) = area cross-section of flow \(\large{ in^2 }\) \(\large{ mm^2 }\)

 

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Tags: Pressure Hydraulic