✖Hydraulic Conductivity is a property of porous materials (such as soil or rock) that describes the ease with which water can move through pore spaces or fractures.ⓘ Hydraulic Conductivity [K]			+10% -10%
✖Cross Sectional Area is the area of a specific section of a stream, river, or other water body perpendicular to the direction of flow.ⓘ Cross Sectional Area [A_cs]			+10% -10%
✖Hydraulic Gradient is the slope of the hydraulic head (or piezometric head) along the direction of flow in a given medium.ⓘ Hydraulic Gradient [dhds]			+10% -10%

✖Flow Rate is the volume of water passing through a specific cross-section of a river, stream, or any conduit per unit of time.ⓘ Darcy's Law [q_flow]

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Formula

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Darcy's Law

Formula

`"q"_{"flow"} = "K"*"A"_{"cs"}*"dhds"`

Example

`"24.024m³/s"=".77m/s"*"13m²"*"2.4"`

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Darcy's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient
q_flow = K*A_cs*dhds
This formula uses 4 Variables

Variables Used

Flow Rate - (Measured in Cubic Meter per Second) - Flow Rate is the volume of water passing through a specific cross-section of a river, stream, or any conduit per unit of time.
Hydraulic Conductivity - (Measured in Meter per Second) - Hydraulic Conductivity is a property of porous materials (such as soil or rock) that describes the ease with which water can move through pore spaces or fractures.
Cross Sectional Area - (Measured in Square Meter) - Cross Sectional Area is the area of a specific section of a stream, river, or other water body perpendicular to the direction of flow.
Hydraulic Gradient - Hydraulic Gradient is the slope of the hydraulic head (or piezometric head) along the direction of flow in a given medium.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Conductivity: 0.77 Meter per Second --> 0.77 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

q_flow = K*A_cs*dhds --> 0.77*13*2.4

Evaluating ... ...

q_flow = 24.024

STEP 3: Convert Result to Output's Unit

24.024 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

24.024 Cubic Meter per Second <-- Flow Rate

(Calculation completed in 00.004 seconds)

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< 11 Darcy's Law Calculators

Apparent Velocity of Seepage given Reynolds Number of Value Unity

Go Apparent Velocity of Seepage = (Reynolds Number*Kinematic Viscosity in Stokes)/Representative Particle Size

Kinematic Viscosity of Water given Reynolds Number of Value Unity

Go Kinematic Viscosity in Stokes = (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 in Stokes

Representative Particle Size given Reynolds Number of Value Unity

Go Representative Particle Size = (Reynolds Number*Kinematic Viscosity)/Apparent Velocity of Seepage

Darcy's Law

Go Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient

Coefficient of Permeability when Apparent Velocity of Seepage is considered

Go Coefficient of Permeability = Apparent Velocity of Seepage/Hydraulic Gradient

Hydraulic Gradient when Apparent Velocity of Seepage is considered

Go Hydraulic Gradient = Apparent Velocity of Seepage/Coefficient of Permeability

Apparent Velocity of Seepage

Go Apparent Velocity of Seepage = Coefficient of Permeability*Hydraulic Gradient

Apparent Velocity of Seepage when Discharge and Cross-Sectional Area are considered

Go Apparent Velocity of Seepage = Discharge/Cross Section Area of Porous Medium

Apparent Velocity and Bulk Pore Velocity Relationship

Go Apparent Velocity of Seepage = Bulk Pore Velocity*Porosity of Soil

Bulk Pore Velocity

Go Bulk Pore Velocity = Apparent Velocity of Seepage/Porosity of Soil

Darcy's Law Formula

Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient
q_flow = K*A_cs*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 Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient to calculate the Flow Rate, The Darcy's Law formula is defined as the discharge rate of a fluid through a porous medium is directly proportional to the hydraulic gradient and the cross-sectional area of the flow, and inversely proportional to the medium's resistance to flow. Flow Rate is denoted by q_flow 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 (A_cs) & Hydraulic Gradient (dhds) and hit the calculate button. Here is how the Darcy's Law calculation can be explained with given input values -> 24.024 = 0.77*13*2.4.

FAQ

What is Darcy's Law?

The Darcy's Law formula is defined as the discharge rate of a fluid through a porous medium is directly proportional to the hydraulic gradient and the cross-sectional area of the flow, and inversely proportional to the medium's resistance to flow and is represented as q_flow = K*A_cs*dhds or Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient. Hydraulic Conductivity is a property of porous materials (such as soil or rock) that describes the ease with which water can move through pore spaces or fractures, Cross Sectional Area is the area of a specific section of a stream, river, or other water body perpendicular to the direction of flow & Hydraulic Gradient is the slope of the hydraulic head (or piezometric head) along the direction of flow in a given medium.

How to calculate Darcy's Law?

The Darcy's Law formula is defined as the discharge rate of a fluid through a porous medium is directly proportional to the hydraulic gradient and the cross-sectional area of the flow, and inversely proportional to the medium's resistance to flow is calculated using Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient. To calculate Darcy's Law, you need Hydraulic Conductivity (K), Cross Sectional Area (A_cs) & 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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