# The Darcy law relating to mean velocity and hydraulic gradient in a porous medium is applicable to:

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The Darcy law relating to mean velocity and hydraulic gradient in a porous medium is applicable to:
1. laminar regime flow only
2. transition regime flow only
3.  turbulent regime flow only
4. flow of all fluids in all regimes of flow

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Correct Answer - Option 1 : laminar regime flow only

Explanation

Darcy's law states that there is a linear relationship between flow velocity (v) and hydraulic gradient (i) for any given saturated soil under steady laminar flow conditions.

If the rate of flow is q (volume/time) through a cross-sectional area (A) of the soil mass, Darcy's Law can be expressed as:

v = q/A = k × i

Darcy’s law is valid for fine saturated sands only.

Where

k = permeability of the soil, i = Δh/L

Δh = difference in total heads, L = length of the soil mass

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