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Darcy's Law

Please see attachment for the problem. Any hints appreciated. Thank you!


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Using the equation Q= K(dh/dx) wouldn't work, because you need the area through which the flow travels (the equation is actually Q =KA (dh/dx). To calculate the hydraulic gradient you would divide the height of the water by the height of the sand: 220/180=1.22 cm. We can use the Kozeny-Carmen equation to find K, with the information given.

Using the Kozeny-Carmen Equation, we have

K = (ρg/ ยต) x n^3/ (1-n)^2 x (d^2/180)
n = porosity
ρ =fluid ...