Darcy's Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient
qflow = -K*Acs*dhds
This formula uses 4 Variables
Variables Used
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Hydraulic Conductivity - (Measured in Meter per Second) - Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Hydraulic Gradient - Hydraulic Gradient due to gravity is the ratio of difference in height of water to that of the horizontal distance between the wells or a specific measurement of liquid pressure above vertical datum.
STEP 1: Convert Input(s) to Base Unit
Hydraulic Conductivity: 2.5 Meter per Second --> 2.5 Meter per Second No Conversion Required
Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Hydraulic Gradient: 2.4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qflow = -K*Acs*dhds --> -2.5*13*2.4
Evaluating ... ...
qflow = -78
STEP 3: Convert Result to Output's Unit
-78 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
-78 Cubic Meter per Second <-- Rate of Flow
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Bhilai Institute of Technology (BIT), Raipur
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Representative Particle Size given Reynolds Number of Value Unity
Go Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage
Kinematic Viscosity of Water given Reynolds Number of Value Unity
Go Kinematic Viscosity = (Apparent Velocity of Seepage*Representative Particle Size)/Reynolds Number
Reynolds Number of Value Unity
Go Reynolds Number = (Apparent Velocity of Seepage*Representative Particle Size)/Kinematic Viscosity
Darcy's Law
Go Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient
Pressure Head for given Total Head
Go Pressure Head = Total Head-Elevation Head
Elevation Head using Total Head
Go Elevation Head = Total Head-Pressure Head
Total Head
Go Total Head = Elevation Head+Pressure Head

Darcy's Law Formula

Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient
qflow = -K*Acs*dhds

What does Darcy's Law determine?

Darcy's law is the equation that defines the ability of a fluid to flow through porous media such as rock.

How to Calculate Darcy's Law?

Darcy's Law calculator uses Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient to calculate the Rate of Flow, Darcy's law is defined as the discharge rate q which is proportional to the gradient in hydraulic head and the hydraulic conductivity. Rate of Flow is denoted by qflow symbol.

How to calculate Darcy's Law using this online calculator? To use this online calculator for Darcy's Law, enter Hydraulic Conductivity (K), Cross-Sectional Area (Acs) & Hydraulic Gradient (dhds) and hit the calculate button. Here is how the Darcy's Law calculation can be explained with given input values -> -78 = -2.5*13*2.4.

FAQ

What is Darcy's Law?
Darcy's law is defined as the discharge rate q which is proportional to the gradient in hydraulic head and the hydraulic conductivity and is represented as qflow = -K*Acs*dhds or Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient. Hydraulic Conductivity depends on the size and arrangement of the water-transmitting openings and on the dynamic characteristics of the fluid, Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Hydraulic Gradient due to gravity is the ratio of difference in height of water to that of the horizontal distance between the wells or a specific measurement of liquid pressure above vertical datum.
How to calculate Darcy's Law?
Darcy's law is defined as the discharge rate q which is proportional to the gradient in hydraulic head and the hydraulic conductivity is calculated using Rate of Flow = -Hydraulic Conductivity*Cross-Sectional Area*Hydraulic Gradient. To calculate Darcy's Law, you need Hydraulic Conductivity (K), Cross-Sectional Area (Acs) & Hydraulic Gradient (dhds). With our tool, you need to enter the respective value for Hydraulic Conductivity, Cross-Sectional Area & Hydraulic Gradient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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