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Length about Discharge per Unit Width of Aquifer Formula

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The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations. Check FAQs

L stream = ({h o}^{2} - {h 1}^{2}) \cdot \frac{K}{2 \cdot Q}

L_stream - Length between Upstream and Downstream?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?K - Coefficient of Permeability?Q - Discharge?

Length about Discharge per Unit Width of Aquifer Example

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Here is how the Length about Discharge per Unit Width of Aquifer equation looks like with Values.

Here is how the Length about Discharge per Unit Width of Aquifer equation looks like with Units.

Here is how the Length about Discharge per Unit Width of Aquifer equation looks like.

4.1192 = (12^{2} - 5^{2}) \cdot \frac{9}{2 \cdot 1.3}

4.1192m = ({12m}^{2} - {5m}^{2}) \cdot \frac{9cm/s}{2 \cdot 1.3m³/s}

4.1192 = (12^{2} - 5^{2}) \cdot \frac{9}{2 \cdot 1.3}

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Length about Discharge per Unit Width of Aquifer Solution

Follow our step by step solution on how to calculate Length about Discharge per Unit Width of Aquifer?

FIRST Step Consider the formula

L stream = ({h o}^{2} - {h 1}^{2}) \cdot \frac{K}{2 \cdot Q}

Next Step Substitute values of Variables

∴

L stream = ({12m}^{2} - {5m}^{2}) \cdot \frac{9cm/s}{2 \cdot 1.3m³/s}

Next Step Convert Units

∴

L stream = ({12m}^{2} - {5m}^{2}) \cdot \frac{0.09m/s}{2 \cdot 1.3m³/s}

Next Step Prepare to Evaluate

∴

L stream = (12^{2} - 5^{2}) \cdot \frac{0.09}{2 \cdot 1.3}

Next Step Evaluate

∴

L stream = 4.11923076923077m

LAST Step Rounding Answer

∴

L stream = 4.1192m

Length about Discharge per Unit Width of Aquifer Formula Elements

Variables

Length between Upstream and Downstream

The Length between Upstream and Downstream refers to the horizontal base with a difference in surface elevations.

Symbol: L_stream

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length between Upstream and Downstream

Piezometric Head at Upstream End

The Piezometric Head at Upstream End refers to the specific measurement of liquid pressure above a vertical datum.

Symbol: h_o

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Upstream End

Piezometric Head at Downstream End

The Piezometric Head at Downstream End refers to the specific measurement of liquid pressure above a vertical datum.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Piezometric Head at Downstream End

Coefficient of Permeability

The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.

Symbol: K

Measurement: SpeedUnit: cm/s

Note: Value should be greater than 0.

Formulas to find Coefficient of Permeability

Discharge

The Discharge refers to the volumetric flow rate of water that is transported through a given cross-sectional area. It includes any suspended solids, dissolved chemicals, or biologic material.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge

Other formulas in Unconfined Flow by Dupit's Assumption category

Go Mass Flux Entering Element

M x1 = ρ water \cdot V x \cdot H w \cdot Δy

Go Discharge per Unit Width of Aquifer considering Permeability

Q = \frac{({h o}^{2} - {h 1}^{2}) \cdot K}{2 \cdot L stream}

Go Water Table Profile Neglecting Depths of Water in Drains

h = \sqrt{(\frac{R}{K}) \cdot (L - x) \cdot x}

Go Maximum Height of Water Table

h m = (\frac{L}{2}) \cdot \sqrt{\frac{R}{K}}

How to Evaluate Length about Discharge per Unit Width of Aquifer?

Length about Discharge per Unit Width of Aquifer evaluator uses Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge) to evaluate the Length between Upstream and Downstream, The Length about Discharge per Unit Width of Aquifer formula is defined as the overall length of the catchment area under consideration. Length between Upstream and Downstream is denoted by L_stream symbol.

How to evaluate Length about Discharge per Unit Width of Aquifer using this online evaluator? To use this online evaluator for Length about Discharge per Unit Width of Aquifer, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K) & Discharge (Q) and hit the calculate button.

FAQs on Length about Discharge per Unit Width of Aquifer

What is the formula to find Length about Discharge per Unit Width of Aquifer?

The formula of Length about Discharge per Unit Width of Aquifer is expressed as Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge). Here is an example- 0.243409 = (12^2-5^2)*0.09/(2*1.3).

How to calculate Length about Discharge per Unit Width of Aquifer?

With Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Coefficient of Permeability (K) & Discharge (Q) we can find Length about Discharge per Unit Width of Aquifer using the formula - Length between Upstream and Downstream = (Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability/(2*Discharge).

Can the Length about Discharge per Unit Width of Aquifer be negative?

No, the Length about Discharge per Unit Width of Aquifer, measured in Length cannot be negative.

Which unit is used to measure Length about Discharge per Unit Width of Aquifer?

Length about Discharge per Unit Width of Aquifer is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length about Discharge per Unit Width of Aquifer can be measured.

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Length about Discharge per Unit Width of Aquifer Formula

Length about Discharge per Unit Width of Aquifer Example

Length about Discharge per Unit Width of Aquifer Solution

Length about Discharge per Unit Width of Aquifer Formula Elements

Other formulas in Unconfined Flow by Dupit's Assumption category

How to Evaluate Length about Discharge per Unit Width of Aquifer?

FAQs on Length about Discharge per Unit Width of Aquifer

Variable Name