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Height of Saturated Zone given Discharge Formula

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The Height of saturated Zone refers to the height of the ground level at the infiltration gallery which is considered at some distance from the source. Check FAQs

H = \sqrt{(\frac{2 \cdot Q \cdot L}{k}) + {(H o)}^{2}}

H - Height of Saturated Zone?Q - Discharge?L - Distance Between IG and Source?k - Coefficient of Permeability?H_o - Depth of Water in Infiltration Gallery?

Height of Saturated Zone given Discharge Example

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Here is how the Height of Saturated Zone given Discharge equation looks like with Values.

Here is how the Height of Saturated Zone given Discharge equation looks like with Units.

Here is how the Height of Saturated Zone given Discharge equation looks like.

17.5584 = \sqrt{(\frac{2 \cdot 1.01 \cdot 10}{10}) + {(10.31)}^{2}}

17.5584m = \sqrt{(\frac{2 \cdot 1.01m³/s \cdot 10m}{10cm/s}) + {(10.31m)}^{2}}

17.5584 = \sqrt{(\frac{2 \cdot 1.01 \cdot 10}{10}) + {(10.31)}^{2}}

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Height of Saturated Zone given Discharge Solution

Follow our step by step solution on how to calculate Height of Saturated Zone given Discharge?

FIRST Step Consider the formula

H = \sqrt{(\frac{2 \cdot Q \cdot L}{k}) + {(H o)}^{2}}

Next Step Substitute values of Variables

∴

H = \sqrt{(\frac{2 \cdot 1.01m³/s \cdot 10m}{10cm/s}) + {(10.31m)}^{2}}

Next Step Convert Units

∴

H = \sqrt{(\frac{2 \cdot 1.01m³/s \cdot 10m}{0.1m/s}) + {(10.31m)}^{2}}

Next Step Prepare to Evaluate

∴

H = \sqrt{(\frac{2 \cdot 1.01 \cdot 10}{0.1}) + {(10.31)}^{2}}

Next Step Evaluate

∴

H = 17.5583626799312m

LAST Step Rounding Answer

∴

H = 17.5584m

Height of Saturated Zone given Discharge Formula Elements

Variables

Functions

Height of Saturated Zone

The Height of saturated Zone refers to the height of the ground level at the infiltration gallery which is considered at some distance from the source.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Saturated Zone

Discharge

The Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge

Distance Between IG and Source

The Distance Between IG and Source refers to the distance between the infiltration gallery and the source point.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance Between IG and Source

Coefficient of Permeability

The Coefficient of Permeability refers to the soil characteristics 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

Depth of Water in Infiltration Gallery

The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery.

Symbol: H_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Water in Infiltration Gallery

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Flow into Infiltration Gallery category

Go Discharge Passing through Vertical Section of Infiltration Gallery

Q = \frac{k \cdot ({(H)}^{2} - {(H o)}^{2})}{2 \cdot L}

Go Coefficient of Permeability given Discharge

k = \frac{Q}{\frac{{(H)}^{2} - {(H o)}^{2}}{2 \cdot L}}

Go Distance between Infiltration Gallery and Source given Discharge

L = \frac{k \cdot ({(H)}^{2} - {(H o)}^{2})}{2 \cdot Q}

Go Depth of Water in Gallery given Discharge

H o = \sqrt{{(H)}^{2} - (\frac{2 \cdot Q \cdot L}{k})}

How to Evaluate Height of Saturated Zone given Discharge?

Height of Saturated Zone given Discharge evaluator uses Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2) to evaluate the Height of Saturated Zone, The Height of Saturated Zone given Discharge is defined as the value of height of saturated zone when we have prior information of other parameters used. Height of Saturated Zone is denoted by H symbol.

How to evaluate Height of Saturated Zone given Discharge using this online evaluator? To use this online evaluator for Height of Saturated Zone given Discharge, enter Discharge (Q), Distance Between IG and Source (L), Coefficient of Permeability (k) & Depth of Water in Infiltration Gallery (H_o) and hit the calculate button.

FAQs on Height of Saturated Zone given Discharge

What is the formula to find Height of Saturated Zone given Discharge?

The formula of Height of Saturated Zone given Discharge is expressed as Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2). Here is an example- 17.55836 = sqrt(((2*1.01*10)/0.1)+(10.31)^2).

How to calculate Height of Saturated Zone given Discharge?

With Discharge (Q), Distance Between IG and Source (L), Coefficient of Permeability (k) & Depth of Water in Infiltration Gallery (H_o) we can find Height of Saturated Zone given Discharge using the formula - Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2). This formula also uses Square Root (sqrt) function(s).

Can the Height of Saturated Zone given Discharge be negative?

No, the Height of Saturated Zone given Discharge, measured in Length cannot be negative.

Which unit is used to measure Height of Saturated Zone given Discharge?

Height of Saturated Zone given Discharge is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Saturated Zone given Discharge can be measured.

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Height of Saturated Zone given Discharge Formula

Height of Saturated Zone given Discharge Example

Height of Saturated Zone given Discharge Solution

Height of Saturated Zone given Discharge Formula Elements

Other formulas in Flow into Infiltration Gallery category

How to Evaluate Height of Saturated Zone given Discharge?

FAQs on Height of Saturated Zone given Discharge

Variable Name