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Coefficient of Permeability given Rate of Flow of Water Formula

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Coefficient of Permeability is a measure of a soil's ability to allow water to flow through its pores. Essential in the design of retaining walls, cutoff walls, and other seepage control measures. Check FAQs

k = (\frac{q flow}{i \cdot A cs})

k - Coefficient of Permeability?q_flow - Rate of Flow of Water through Soil?i - Hydraulic Gradient in Soil?A_cs - Cross Sectional Area in Permeability?

Coefficient of Permeability given Rate of Flow of Water Example

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Here is how the Coefficient of Permeability given Rate of Flow of Water equation looks like with Values.

Here is how the Coefficient of Permeability given Rate of Flow of Water equation looks like with Units.

Here is how the Coefficient of Permeability given Rate of Flow of Water equation looks like.

0.9185 = (\frac{24}{2.01 \cdot 13})

0.9185m/s = (\frac{24m³/s}{2.01 \cdot 13m²})

0.9185 = (\frac{24}{2.01 \cdot 13})

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Coefficient of Permeability given Rate of Flow of Water Solution

Follow our step by step solution on how to calculate Coefficient of Permeability given Rate of Flow of Water?

FIRST Step Consider the formula

k = (\frac{q flow}{i \cdot A cs})

Next Step Substitute values of Variables

∴

k = (\frac{24m³/s}{2.01 \cdot 13m²})

Next Step Prepare to Evaluate

∴

k = (\frac{24}{2.01 \cdot 13})

Next Step Evaluate

∴

k = 0.918484500574053m/s

LAST Step Rounding Answer

∴

k = 0.9185m/s

Coefficient of Permeability given Rate of Flow of Water Formula Elements

Variables

Coefficient of Permeability

Coefficient of Permeability is a measure of a soil's ability to allow water to flow through its pores. Essential in the design of retaining walls, cutoff walls, and other seepage control measures.

Symbol: k

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

Rate of Flow of Water through Soil

Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc.

Symbol: q_flow

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Rate of Flow of Water through Soil

Hydraulic Gradient in Soil

Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Gradient in Soil

Cross Sectional Area in Permeability

Cross Sectional Area in Permeability is the surface area perpendicular to the direction of fluid flow through which the fluid moves. It is important in the design of hydraulic structures such as dams.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area in Permeability

Other formulas in Soil Compaction Test category

Go Volume of Soil for Sand Filling in Sand Cone Method

V = (\frac{W t}{ρ})

Go Weight of Sand Filling Hole in Sand Cone Method

W t = (V \cdot ρ)

Go Density of Sand given Volume of Soil for Sand Filling in Sand Cone Method

ρ = (\frac{W t}{V})

Go Percent Moisture in Sand Cone Method

M sc = \frac{100 \cdot (W m - W d)}{W d}

How to Evaluate Coefficient of Permeability given Rate of Flow of Water?

Coefficient of Permeability given Rate of Flow of Water evaluator uses Coefficient of Permeability = (Rate of Flow of Water through Soil/(Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)) to evaluate the Coefficient of Permeability, The Coefficient of Permeability given Rate of Flow of Water formula is defined as a measure of a soil's ability to allow water to flow through it. During construction, soils are compacted to achieve the desired permeability. The compaction process involves adjusting moisture content and applying mechanical forces to reduce void spaces in the soil. Coefficient of Permeability is denoted by k symbol.

How to evaluate Coefficient of Permeability given Rate of Flow of Water using this online evaluator? To use this online evaluator for Coefficient of Permeability given Rate of Flow of Water, enter Rate of Flow of Water through Soil (q_flow), Hydraulic Gradient in Soil (i) & Cross Sectional Area in Permeability (A_cs) and hit the calculate button.

FAQs on Coefficient of Permeability given Rate of Flow of Water

What is the formula to find Coefficient of Permeability given Rate of Flow of Water?

The formula of Coefficient of Permeability given Rate of Flow of Water is expressed as Coefficient of Permeability = (Rate of Flow of Water through Soil/(Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)). Here is an example- 0.918485 = (24/(2.01*13)).

How to calculate Coefficient of Permeability given Rate of Flow of Water?

With Rate of Flow of Water through Soil (q_flow), Hydraulic Gradient in Soil (i) & Cross Sectional Area in Permeability (A_cs) we can find Coefficient of Permeability given Rate of Flow of Water using the formula - Coefficient of Permeability = (Rate of Flow of Water through Soil/(Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)).

Can the Coefficient of Permeability given Rate of Flow of Water be negative?

No, the Coefficient of Permeability given Rate of Flow of Water, measured in Speed cannot be negative.

Which unit is used to measure Coefficient of Permeability given Rate of Flow of Water?

Coefficient of Permeability given Rate of Flow of Water is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Coefficient of Permeability given Rate of Flow of Water can be measured.

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Coefficient of Permeability given Rate of Flow of Water Formula

Coefficient of Permeability given Rate of Flow of Water Example

Coefficient of Permeability given Rate of Flow of Water Solution

Coefficient of Permeability given Rate of Flow of Water Formula Elements

Other formulas in Soil Compaction Test category

How to Evaluate Coefficient of Permeability given Rate of Flow of Water?

FAQs on Coefficient of Permeability given Rate of Flow of Water

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