Mean Velocity using Darcy's Law Calculator

✖The Coefficient of Permeability refers to the rate of water flow under laminar conditions through a unit cross-sectional area of a porous medium.ⓘ Coefficient of Permeability [k]			+10% -10%
✖The Hydraulic Gradient refers to the change in water level per unit distance along the direction of maximum head decrease.ⓘ Hydraulic Gradient [H]			+10% -10%

✖The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.ⓘ Mean Velocity using Darcy's Law [V_mean]

⎘ Copy

👎

Formula

✖

Mean Velocity using Darcy's Law

Formula

V mean = k \cdot H

Example

10 m/s = 10 cm/s \cdot 100

Calculator

LaTeX

Reset

👍

Download Laminar Flow of Fluid in an Open Channel Formulas PDF PDF Image

Mean Velocity using Darcy's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Velocity = Coefficient of Permeability*Hydraulic Gradient
V_mean = k*H
This formula uses 3 Variables

Variables Used

Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the rate of water flow under laminar conditions through a unit cross-sectional area of a porous medium.
Hydraulic Gradient - The Hydraulic Gradient refers to the change in water level per unit distance along the direction of maximum head decrease.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability: 10 Centimeter per Second --> 0.1 Meter per Second (Check conversion here)
Hydraulic Gradient: 100 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_mean = k*H --> 0.1*100

Evaluating ... ...

V_mean = 10

STEP 3: Convert Result to Output's Unit

10 Meter per Second --> No Conversion Required

FINAL ANSWER

10 Meter per Second <-- Mean Velocity

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow of Fluid in an Open Channel » Laminar Flow Through Porous Media » Mean Velocity using Darcy's Law

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< Laminar Flow Through Porous Media Calculators

Coefficient of Permeability given Velocity

Go Coefficient of Permeability = Mean Velocity/Hydraulic Gradient

Hydraulic Gradient given Velocity

Go Hydraulic Gradient = Mean Velocity/Coefficient of Permeability

Mean Velocity using Darcy's Law

Go Mean Velocity = Coefficient of Permeability*Hydraulic Gradient

Mean Velocity using Darcy's Law Formula

Mean Velocity = Coefficient of Permeability*Hydraulic Gradient
V_mean = k*H

What is Hydraulic Gradient?

Hydraulic head or piezometric head is a specific measurement of liquid pressure above a vertical datum. It is usually measured as a liquid surface elevation, expressed in units of length, at the entrance of a piezometer.

What is Coefficient of Permeability?

Coefficient of permeability of a soil describes how easily a liquid will move through a soil. It is also commonly referred to as the hydraulic conductivity of a soil. This factor can be affected by the viscosity, or thickness(fluidity) of a liquid and its density.

How to Calculate Mean Velocity using Darcy's Law?

Mean Velocity using Darcy's Law calculator uses Mean Velocity = Coefficient of Permeability*Hydraulic Gradient to calculate the Mean Velocity, The Mean Velocity using Darcy's Law formula is defined as the average velocity of a fluid or object over a given period of time or distance which is directly proportional to both the hydraulic gradient and the coefficient of permeability. Mean Velocity is denoted by V_mean symbol.

How to calculate Mean Velocity using Darcy's Law using this online calculator? To use this online calculator for Mean Velocity using Darcy's Law, enter Coefficient of Permeability (k) & Hydraulic Gradient (H) and hit the calculate button. Here is how the Mean Velocity using Darcy's Law calculation can be explained with given input values -> 10 = 0.1*100.

FAQ

What is Mean Velocity using Darcy's Law?

The Mean Velocity using Darcy's Law formula is defined as the average velocity of a fluid or object over a given period of time or distance which is directly proportional to both the hydraulic gradient and the coefficient of permeability and is represented as V_mean = k*H or Mean Velocity = Coefficient of Permeability*Hydraulic Gradient. The Coefficient of Permeability refers to the rate of water flow under laminar conditions through a unit cross-sectional area of a porous medium & The Hydraulic Gradient refers to the change in water level per unit distance along the direction of maximum head decrease.

How to calculate Mean Velocity using Darcy's Law?

The Mean Velocity using Darcy's Law formula is defined as the average velocity of a fluid or object over a given period of time or distance which is directly proportional to both the hydraulic gradient and the coefficient of permeability is calculated using Mean Velocity = Coefficient of Permeability*Hydraulic Gradient. To calculate Mean Velocity using Darcy's Law, you need Coefficient of Permeability (k) & Hydraulic Gradient (H). With our tool, you need to enter the respective value for Coefficient of Permeability & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search