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Length when Discharge per Unit Width of Aquifer is Considered 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 = (\frac{h o - h 1}{q}) \cdot k \cdot b

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

Length when Discharge per Unit Width of Aquifer is Considered Example

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

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

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

4.0833 = (\frac{12 - 5}{30}) \cdot 0.5 \cdot 35

4.0833m = (\frac{12m - 5m}{30m³/s}) \cdot 0.5m/s \cdot 35m

4.0833 = (\frac{12 - 5}{30}) \cdot 0.5 \cdot 35

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Length when Discharge per Unit Width of Aquifer is Considered Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L stream = (\frac{12m - 5m}{30m³/s}) \cdot 0.5m/s \cdot 35m

Next Step Prepare to Evaluate

∴

L stream = (\frac{12 - 5}{30}) \cdot 0.5 \cdot 35

Next Step Evaluate

∴

L stream = 4.08333333333333m

LAST Step Rounding Answer

∴

L stream = 4.0833m

Length when Discharge per Unit Width of Aquifer is Considered 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

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.

Formulas to find Discharge per Unit Width of Aquifer

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.

Formulas to find Coefficient of Permeability

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.

Formulas to find Aquifer Thickness

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 Discharge per unit width of aquifers

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

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}

How to Evaluate Length when Discharge per Unit Width of Aquifer is Considered?

Length when Discharge per Unit Width of Aquifer is Considered evaluator uses Length between Upstream and Downstream = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Discharge per Unit Width of Aquifer)*Coefficient of Permeability*Aquifer Thickness to evaluate the Length between Upstream and Downstream, The Length when Discharge per Unit Width of Aquifer is Considered formula is defined as the distance between two points along the flow path of the aquifer, crucial in calculating the discharge, which is the volumetric flow rate of water through a given cross-sectional area of the aquifer. Length between Upstream and Downstream is denoted by L_stream symbol.

How to evaluate Length when Discharge per Unit Width of Aquifer is Considered using this online evaluator? To use this online evaluator for Length when Discharge per Unit Width of Aquifer is Considered, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Discharge per Unit Width of Aquifer (q), Coefficient of Permeability (k) & Aquifer Thickness (b) and hit the calculate button.

FAQs on Length when Discharge per Unit Width of Aquifer is Considered

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

The formula of Length when Discharge per Unit Width of Aquifer is Considered is expressed as Length between Upstream and Downstream = ((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Discharge per Unit Width of Aquifer)*Coefficient of Permeability*Aquifer Thickness. Here is an example- 1.75 = ((12-5)/30)*0.5*35.

How to calculate Length when Discharge per Unit Width of Aquifer is Considered?

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

Can the Length when Discharge per Unit Width of Aquifer is Considered be negative?

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

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

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

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Length when Discharge per Unit Width of Aquifer is Considered Formula

Length when Discharge per Unit Width of Aquifer is Considered Example

Length when Discharge per Unit Width of Aquifer is Considered Solution

Length when Discharge per Unit Width of Aquifer is Considered Formula Elements

Other formulas in Confined Groundwater Flow between Water Bodies category

How to Evaluate Length when Discharge per Unit Width of Aquifer is Considered?

FAQs on Length when Discharge per Unit Width of Aquifer is Considered

Variable Name