Darcy equation, hydraulic conductivity calculation

[subopolois]

Homework Statement

ive done the darcy experiment in the lab already and have the data, the question asks to calculate the hydraulic conductivity,K. I've done one already and I am just looking for confirmation that I've done it correctly because I've never used this equation before. I know I am finding K.

Homework Equations

darcy equation Q=KiA

The Attempt at a Solution

so one set of data that i have is:
dl= 0.418 m
volume= 14 mL
time= 10 seconds
dh= 0.34 m
diameter of cylinder is 6.3 cm

and here's what I've done with it.
K=Q/iA
= 1.4mL/s / (0.81)(31.17cm^2)
= 0.055

as i said I am not really sure if I've done this correctly because I've never used darcy's equation. also could someone also help me out with the units please?

 

[KataKoniK]

Dear forum post author,

Thank you for sharing your data and attempt at solving for K. Your calculation seems to be correct, but it is always good to double check your work to ensure accuracy. The units for K in the Darcy equation are meters per second (m/s), so your final answer should have those units as well. In addition, it is important to pay attention to significant figures in your calculations. From the data you provided, it seems that the volume should have 3 significant figures (14 mL) and the diameter should have 2 significant figures (6.3 cm). This means that your final answer should also have 2 significant figures, so the correct answer would be 0.06 m/s. I hope this helps and good luck with your future experiments!

 

[Mene]

Good job on using the Darcy equation to calculate the hydraulic conductivity, K. Your calculations seem to be correct. To confirm, you can compare your calculated value with literature values for similar materials and conditions.

As for the units, since you have used consistent units throughout your calculations, your final answer should be in the same unit as your input data. In this case, your final unit would be mL/s/cm^2. However, it is common to convert the units to more convenient ones, such as m/s, by converting mL to m^3 and cm^2 to m^2. Keep in mind that it is important to use consistent units when using mathematical equations to avoid errors.

Overall, good job on using the Darcy equation and calculating the hydraulic conductivity. Keep up the good work!