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Darcy's Law Formula

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Flow Rate is the volume of water passing through a specific cross-section of a river, stream, or any conduit per unit of time. Check FAQs

q flow = K \cdot A cs \cdot dhds

q_flow - Flow Rate?K - Hydraulic Conductivity?A_cs - Cross Sectional Area?dhds - Hydraulic Gradient?

Darcy's Law Example

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Here is how the Darcy's Law equation looks like with Values.

Here is how the Darcy's Law equation looks like with Units.

Here is how the Darcy's Law equation looks like.

24.024 = 0.77 \cdot 13 \cdot 2.4

24.024m³/s = 0.77m/s \cdot 13m² \cdot 2.4

24.024 = 0.77 \cdot 13 \cdot 2.4

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Darcy's Law Solution

Follow our step by step solution on how to calculate Darcy's Law?

FIRST Step Consider the formula

q flow = K \cdot A cs \cdot dhds

Next Step Substitute values of Variables

∴

q flow = 0.77m/s \cdot 13m² \cdot 2.4

Next Step Prepare to Evaluate

∴

q flow = 0.77 \cdot 13 \cdot 2.4

LAST Step Evaluate

∴

q flow = 24.024m³/s

Darcy's Law Formula Elements

Variables

Flow Rate

Flow Rate is the volume of water passing through a specific cross-section of a river, stream, or any conduit per unit of time.

Symbol: q_flow

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flow Rate

Hydraulic Conductivity

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.

Symbol: K

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Hydraulic Conductivity

Cross Sectional Area

Cross Sectional Area is the area of a specific section of a stream, river, or other water body perpendicular to the direction of flow.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Hydraulic Gradient

Hydraulic Gradient is the slope of the hydraulic head (or piezometric head) along the direction of flow in a given medium.

Symbol: dhds

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Hydraulic Gradient

Other formulas in Darcy's Law category

Go Apparent Velocity of Seepage

V = K'' \cdot dhds

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

V = \frac{Q'}{A}

Go Coefficient of Permeability when Apparent Velocity of Seepage is considered

K'' = \frac{V}{dhds}

Go Hydraulic Gradient when Apparent Velocity of Seepage is considered

dhds = \frac{V}{K''}

How to Evaluate Darcy's Law?

Darcy's Law evaluator uses Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient to evaluate 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 evaluate Darcy's Law using this online evaluator? To use this online evaluator for Darcy's Law, enter Hydraulic Conductivity (K), Cross Sectional Area (A_cs) & Hydraulic Gradient (dhds) and hit the calculate button.

FAQs on Darcy's Law

What is the formula to find Darcy's Law?

The formula of Darcy's Law is expressed as Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient. Here is an example- 24.024 = 0.77*13*2.4.

How to calculate Darcy's Law?

With Hydraulic Conductivity (K), Cross Sectional Area (A_cs) & Hydraulic Gradient (dhds) we can find Darcy's Law using the formula - Flow Rate = Hydraulic Conductivity*Cross Sectional Area*Hydraulic Gradient.

Can the Darcy's Law be negative?

Yes, the Darcy's Law, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Darcy's Law?

Darcy's Law is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Darcy's Law can be measured.

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Darcy's Law Formula

Darcy's Law Example

Darcy's Law Solution

Darcy's Law Formula Elements

Other formulas in Darcy's Law category

How to Evaluate Darcy's Law?

FAQs on Darcy's Law

Variable Name