The statement "the flow rate through porous media is directly proportional to the head loss and inversely proportional to the length of flow path" stands for :
MH SET - 2018, SET Exam - 2018,
Answer: A
The statement is Darcy's law.
Henry Darcy found in 1856 that the discharge of water through a sand column is
\[ Q = K A \frac{h}{L} \]
where \(K\) is the hydraulic conductivity, \(A\) the cross-section, \(h\) the head loss and \(L\) the length of the flow path. Flow is thus proportional to head loss and inversely proportional to path length. It is the basic law of groundwater flow.
Newton's law of viscous flow relates shear stress to velocity gradient in a fluid, and Poiseuille's law gives laminar flow through a single tube, depending on the fourth power of its radius. Neither is the law for porous media.
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