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Discharge per Unit Width of Aquifer considering Permeability Formula

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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. Check FAQs

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

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

Discharge per Unit Width of Aquifer considering Permeability Example

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

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

Here is how the Discharge per Unit Width of Aquifer considering Permeability equation looks like.

1.3093 = \frac{(12^{2} - 5^{2}) \cdot 9}{2 \cdot 4.09}

1.3093m³/s = \frac{({12m}^{2} - {5m}^{2}) \cdot 9cm/s}{2 \cdot 4.09m}

1.3093 = \frac{(12^{2} - 5^{2}) \cdot 9}{2 \cdot 4.09}

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Discharge per Unit Width of Aquifer considering Permeability Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Q = \frac{({12m}^{2} - {5m}^{2}) \cdot 9cm/s}{2 \cdot 4.09m}

Next Step Convert Units

∴

Q = \frac{({12m}^{2} - {5m}^{2}) \cdot 0.09m/s}{2 \cdot 4.09m}

Next Step Prepare to Evaluate

∴

Q = \frac{(12^{2} - 5^{2}) \cdot 0.09}{2 \cdot 4.09}

Next Step Evaluate

∴

Q = 1.30929095354523m³/s

LAST Step Rounding Answer

∴

Q = 1.3093m³/s

Discharge per Unit Width of Aquifer considering Permeability Formula Elements

Variables

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

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

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

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 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}}

Go Length when Discharge entering per Unit Length of Drain is Considered

L = \frac{Q}{R}

How to Evaluate Discharge per Unit Width of Aquifer considering Permeability?

Discharge per Unit Width of Aquifer considering Permeability evaluator uses Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream) to evaluate the Discharge, The Discharge per Unit Width of Aquifer considering Permeability formula is defined as the volumetric flow rate of water that is transported through a given cross-sectional area. Discharge is denoted by Q symbol.

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

FAQs on Discharge per Unit Width of Aquifer considering Permeability

What is the formula to find Discharge per Unit Width of Aquifer considering Permeability?

The formula of Discharge per Unit Width of Aquifer considering Permeability is expressed as Discharge = ((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)*Coefficient of Permeability)/(2*Length between Upstream and Downstream). Here is an example- 1.309291 = ((12^2-5^2)*0.09)/(2*4.09).

How to calculate Discharge per Unit Width of Aquifer considering Permeability?

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

Can the Discharge per Unit Width of Aquifer considering Permeability be negative?

No, the Discharge per Unit Width of Aquifer considering Permeability, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge per Unit Width of Aquifer considering Permeability?

Discharge per Unit Width of Aquifer considering Permeability 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 Discharge per Unit Width of Aquifer considering Permeability can be measured.

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Discharge per Unit Width of Aquifer considering Permeability Formula

Discharge per Unit Width of Aquifer considering Permeability Example

Discharge per Unit Width of Aquifer considering Permeability Solution

Discharge per Unit Width of Aquifer considering Permeability Formula Elements

Other formulas in Unconfined Flow by Dupit's Assumption category

How to Evaluate Discharge per Unit Width of Aquifer considering Permeability?

FAQs on Discharge per Unit Width of Aquifer considering Permeability

Variable Name