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Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula

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The Piezometric Head refers to the specific measurement of liquid pressure above a vertical datum, typically measured as the elevation of the liquid surface at the entrance of a piezometer. Check FAQs

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

P - Piezometric Head?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?L_stream - Length between Upstream and Downstream?x - Flow in 'x' Direction?

Equation of Hydraulic Grade Line in Confined Groundwater Flow Example

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Here is how the Equation of Hydraulic Grade Line in Confined Groundwater Flow equation looks like with Values.

Here is how the Equation of Hydraulic Grade Line in Confined Groundwater Flow equation looks like with Units.

Here is how the Equation of Hydraulic Grade Line in Confined Groundwater Flow equation looks like.

8.577 = 12 - (\frac{12 - 5}{4.09}) \cdot 2

8.577m = 12m - (\frac{12m - 5m}{4.09m}) \cdot 2m³/s

8.577 = 12 - (\frac{12 - 5}{4.09}) \cdot 2

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Equation of Hydraulic Grade Line in Confined Groundwater Flow Solution

Follow our step by step solution on how to calculate Equation of Hydraulic Grade Line in Confined Groundwater Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 12m - (\frac{12m - 5m}{4.09m}) \cdot 2m³/s

Next Step Prepare to Evaluate

∴

P = 12 - (\frac{12 - 5}{4.09}) \cdot 2

Next Step Evaluate

∴

P = 8.57701711491443m

LAST Step Rounding Answer

∴

P = 8.577m

Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula Elements

Variables

Piezometric Head

The Piezometric Head refers to the specific measurement of liquid pressure above a vertical datum, typically measured as the elevation of the liquid surface at the entrance of a piezometer.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Piezometric Head

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

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

Flow in 'x' Direction

The Flow in 'x' Direction refers to the one-dimensional Dupit flow with recharge representation.

Symbol: x

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Flow in 'x' Direction

Other formulas in Confined Groundwater Flow between Water Bodies category

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}

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 Equation of Hydraulic Grade Line in Confined Groundwater Flow?

Equation of Hydraulic Grade Line in Confined Groundwater Flow evaluator uses Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction to evaluate the Piezometric Head, The Equation of Hydraulic Grade Line in Confined Groundwater Flow formula is defined as specific measurement of liquid pressure above vertical datum. Piezometric Head is denoted by P symbol.

How to evaluate Equation of Hydraulic Grade Line in Confined Groundwater Flow using this online evaluator? To use this online evaluator for Equation of Hydraulic Grade Line in Confined Groundwater Flow, enter Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream) & Flow in 'x' Direction (x) and hit the calculate button.

FAQs on Equation of Hydraulic Grade Line in Confined Groundwater Flow

What is the formula to find Equation of Hydraulic Grade Line in Confined Groundwater Flow?

The formula of Equation of Hydraulic Grade Line in Confined Groundwater Flow is expressed as Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction. Here is an example- 8.577017 = 12-((12-5)/4.09)*2.

How to calculate Equation of Hydraulic Grade Line in Confined Groundwater Flow?

With Piezometric Head at Upstream End (h_o), Piezometric Head at Downstream End (h₁), Length between Upstream and Downstream (L_stream) & Flow in 'x' Direction (x) we can find Equation of Hydraulic Grade Line in Confined Groundwater Flow using the formula - Piezometric Head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length between Upstream and Downstream)*Flow in 'x' Direction.

Can the Equation of Hydraulic Grade Line in Confined Groundwater Flow be negative?

No, the Equation of Hydraulic Grade Line in Confined Groundwater Flow, measured in Length cannot be negative.

Which unit is used to measure Equation of Hydraulic Grade Line in Confined Groundwater Flow?

Equation of Hydraulic Grade Line in Confined Groundwater Flow is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Equation of Hydraulic Grade Line in Confined Groundwater Flow can be measured.

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Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula

Equation of Hydraulic Grade Line in Confined Groundwater Flow Example

Equation of Hydraulic Grade Line in Confined Groundwater Flow Solution

Equation of Hydraulic Grade Line in Confined Groundwater Flow Formula Elements

Other formulas in Confined Groundwater Flow between Water Bodies category

How to Evaluate Equation of Hydraulic Grade Line in Confined Groundwater Flow?

FAQs on Equation of Hydraulic Grade Line in Confined Groundwater Flow

Variable Name