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Equation for Water Divide Formula

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The Water Divide refers to the drainage divide, is an elevated boundary that separates neighboring drainage basins. Check FAQs

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

a - Water Divide?L_stream - Length between Upstream and Downstream?K - Coefficient of Permeability?R - Natural Recharge?h_o - Piezometric Head at Upstream End?h₁ - Piezometric Head at Downstream End?

Equation for Water Divide Example

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Here is how the Equation for Water Divide equation looks like with Values.

Here is how the Equation for Water Divide equation looks like with Units.

Here is how the Equation for Water Divide equation looks like.

0.6761 = (\frac{4.09}{2}) - (\frac{9}{16}) \cdot (\frac{12^{2} - 5^{2}}{2} \cdot 4.09)

0.6761 = (\frac{4.09m}{2}) - (\frac{9cm/s}{16m³/s}) \cdot (\frac{{12m}^{2} - {5m}^{2}}{2} \cdot 4.09m)

0.6761 = (\frac{4.09}{2}) - (\frac{9}{16}) \cdot (\frac{12^{2} - 5^{2}}{2} \cdot 4.09)

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Equation for Water Divide Solution

Follow our step by step solution on how to calculate Equation for Water Divide?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = (\frac{4.09m}{2}) - (\frac{9cm/s}{16m³/s}) \cdot (\frac{{12m}^{2} - {5m}^{2}}{2} \cdot 4.09m)

Next Step Convert Units

∴

a = (\frac{4.09m}{2}) - (\frac{0.09m/s}{16m³/s}) \cdot (\frac{{12m}^{2} - {5m}^{2}}{2} \cdot 4.09m)

Next Step Prepare to Evaluate

∴

a = (\frac{4.09}{2}) - (\frac{0.09}{16}) \cdot (\frac{12^{2} - 5^{2}}{2} \cdot 4.09)

Next Step Evaluate

∴

a = 0.676128125

LAST Step Rounding Answer

∴

a = 0.6761

Equation for Water Divide Formula Elements

Variables

Water Divide

The Water Divide refers to the drainage divide, is an elevated boundary that separates neighboring drainage basins.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Water Divide

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

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

Natural Recharge

The Natural Recharge is a process by which groundwater is replenished naturally when precipitation infiltrates the ground, moving through the soil and rock layers until it reaches the water table.

Symbol: R

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Natural Recharge

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

Other formulas in One Dimensional Dupit's Flow with Recharge category

Go Equation of Head for Unconfined Aquifer on Horizontal Impervious Base

h = \sqrt{(\frac{- R \cdot x^{2}}{K}) - ((\frac{{h o}^{2} - {h 1}^{2} - (\frac{R \cdot {L stream}^{2}}{K})}{L stream}) \cdot x) + {h o}^{2}}

Go Discharge per Unit Width of Aquifer at any Location x

q x = R \cdot (x - (\frac{L stream}{2})) + (\frac{K}{2} \cdot L stream) \cdot ({h o}^{2} - {h 1}^{2})

Go Discharge at Downstream Water Body of Catchment

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

Go Discharge Entering Drain per Unit Length of Drain

q d = 2 \cdot (R \cdot (\frac{L}{2}))

How to Evaluate Equation for Water Divide?

Equation for Water Divide evaluator uses Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream) to evaluate the Water Divide, The Equation for Water Divide is defined as the line that separates neighboring drainage basins from one another. Water Divide is denoted by a symbol.

How to evaluate Equation for Water Divide using this online evaluator? To use this online evaluator for Equation for Water Divide, enter Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Natural Recharge (R), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁) and hit the calculate button.

FAQs on Equation for Water Divide

What is the formula to find Equation for Water Divide?

The formula of Equation for Water Divide is expressed as Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream). Here is an example- 0.676128 = (4.09/2)-(0.09/16)*((12^2-5^2)/2*4.09).

How to calculate Equation for Water Divide?

With Length between Upstream and Downstream (L_stream), Coefficient of Permeability (K), Natural Recharge (R), Piezometric Head at Upstream End (h_o) & Piezometric Head at Downstream End (h₁) we can find Equation for Water Divide using the formula - Water Divide = (Length between Upstream and Downstream/2)-(Coefficient of Permeability/Natural Recharge)*((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2)/2*Length between Upstream and Downstream).

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Equation for Water Divide Formula

Equation for Water Divide Example

Equation for Water Divide Solution

Equation for Water Divide Formula Elements

Other formulas in One Dimensional Dupit's Flow with Recharge category

How to Evaluate Equation for Water Divide?

FAQs on Equation for Water Divide

Variable Name