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Discharge per unit width of aquifers Formula

GoVelocity Equation of Hydraulics Formula

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The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered. Check FAQs

q = (\frac{h o - h 1}{L stream}) \cdot k \cdot b

q - Discharge per Unit Width of Aquifer?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?L_stream - Length between Upstream and Downstream?k - Coefficient of Permeability?b - Aquifer Thickness?

Discharge per unit width of aquifers Example

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Here is how the Discharge per unit width of aquifers equation looks like with Values.

Here is how the Discharge per unit width of aquifers equation looks like with Units.

Here is how the Discharge per unit width of aquifers equation looks like.

29.9511 = (\frac{12 - 5}{4.09}) \cdot 0.5 \cdot 35

29.9511m³/s = (\frac{12m - 5m}{4.09m}) \cdot 0.5m/s \cdot 35m

29.9511 = (\frac{12 - 5}{4.09}) \cdot 0.5 \cdot 35

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Home » Engineering » Civil » Engineering Hydrology » Discharge per unit width of aquifers

Discharge per unit width of aquifers Solution

Follow our step by step solution on how to calculate Discharge per unit width of aquifers?

FIRST Step Consider the formula

q = (\frac{h o - h 1}{L stream}) \cdot k \cdot b

Next Step Substitute values of Variables

∴

q = (\frac{12m - 5m}{4.09m}) \cdot 0.5m/s \cdot 35m

Next Step Prepare to Evaluate

∴

q = (\frac{12 - 5}{4.09}) \cdot 0.5 \cdot 35

Next Step Evaluate

∴

q = 29.9511002444988m³/s

LAST Step Rounding Answer

∴

q = 29.9511m³/s

Discharge per unit width of aquifers Formula Elements

Variables

Discharge per Unit Width of Aquifer

The Discharge per Unit Width of Aquifer refers to the rate of total discharge in the channel to the width considered.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

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.

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.

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.

Coefficient of Permeability

The Coefficient of Permeability refers to the rate of flow of water under laminar flow conditions through a unit cross-sectional area of a porous medium under a unit hydraulic gradient.

Symbol: k

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Aquifer Thickness

The Aquifer Thickness is referred as vertical distance between the top and bottom boundaries of an aquifer, typically measured in feet or meters.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

Other Formulas to find Discharge per Unit Width of Aquifer

Go Velocity Equation of Hydraulics

q = A \cdot v

Other formulas in Confined Groundwater Flow between Water Bodies category

Go Equation of Hydraulic Grade Line in Confined Groundwater Flow

P = h o - (\frac{h o - h 1}{L stream}) \cdot x

Go Coefficient of Permeability when Discharge is Considered

k = q \cdot \frac{L stream}{(h o - h 1) \cdot b}

Go Aquifer Thickness when Discharge is Considered

b = q \cdot \frac{L stream}{(h o - h 1) \cdot k}

Go Length when Discharge per Unit Width of Aquifer is Considered

L stream = (\frac{h o - h 1}{q}) \cdot k \cdot b

How to Evaluate Discharge per unit width of aquifers?

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

How to evaluate Discharge per unit width of aquifers using this online evaluator? To use this online evaluator for Discharge per unit width of aquifers, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (k) & Aquifer Thickness (b) and hit the calculate button.

FAQs on Discharge per unit width of aquifers

What is the formula to find Discharge per unit width of aquifers?

The formula of Discharge per unit width of aquifers is expressed as Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness. Here is an example- 12.83619 = ((12-5)/4.09)*0.5*35.

How to calculate Discharge per unit width of aquifers?

With Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream), Coefficient of Permeability (k) & Aquifer Thickness (b) we can find Discharge per unit width of aquifers using the formula - Discharge per Unit Width of Aquifer = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Coefficient of Permeability*Aquifer Thickness.

What are the other ways to Calculate Discharge per Unit Width of Aquifer?

Here are the different ways to Calculate Discharge per Unit Width of Aquifer-

Discharge per Unit Width of Aquifer=Cross-Sectional Area*Groundwater Velocity

Can the Discharge per unit width of aquifers be negative?

No, the Discharge per unit width of aquifers, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Discharge per unit width of aquifers?

Discharge per unit width of aquifers 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 aquifers can be measured.

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Discharge per unit width of aquifers Formula

​GoVelocity Equation of Hydraulics Formula

Discharge per unit width of aquifers Example

Discharge per unit width of aquifers Solution

Discharge per unit width of aquifers Formula Elements

Credits

Other Formulas to find Discharge per Unit Width of Aquifer

Other formulas in Confined Groundwater Flow between Water Bodies category

How to Evaluate Discharge per unit width of aquifers?

FAQs on Discharge per unit width of aquifers

Variable Name

GoVelocity Equation of Hydraulics Formula