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Depth of Water in Gallery given Discharge Formula

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

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

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

Depth of Water in Gallery given Discharge Example

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Here is how the Depth of Water in Gallery given Discharge equation looks like with Values.

Here is how the Depth of Water in Gallery given Discharge equation looks like with Units.

Here is how the Depth of Water in Gallery given Discharge equation looks like.

10.2958 = \sqrt{{(17.55)}^{2} - (\frac{2 \cdot 1.01 \cdot 10}{10})}

10.2958m = \sqrt{{(17.55m)}^{2} - (\frac{2 \cdot 1.01m³/s \cdot 10m}{10cm/s})}

10.2958 = \sqrt{{(17.55)}^{2} - (\frac{2 \cdot 1.01 \cdot 10}{10})}

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Depth of Water in Gallery given Discharge Solution

Follow our step by step solution on how to calculate Depth of Water in Gallery given Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H o = \sqrt{{(17.55m)}^{2} - (\frac{2 \cdot 1.01m³/s \cdot 10m}{10cm/s})}

Next Step Convert Units

∴

H o = \sqrt{{(17.55m)}^{2} - (\frac{2 \cdot 1.01m³/s \cdot 10m}{0.1m/s})}

Next Step Prepare to Evaluate

∴

H o = \sqrt{{(17.55)}^{2} - (\frac{2 \cdot 1.01 \cdot 10}{0.1})}

Next Step Evaluate

∴

H o = 10.2957515510039m

LAST Step Rounding Answer

∴

H o = 10.2958m

Depth of Water in Gallery given Discharge Formula Elements

Variables

Functions

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

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

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 Height of Saturated Zone given Discharge

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

How to Evaluate Depth of Water in Gallery given Discharge?

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

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

FAQs on Depth of Water in Gallery given Discharge

What is the formula to find Depth of Water in Gallery given Discharge?

The formula of Depth of Water in Gallery given Discharge is expressed as Depth of Water in Infiltration Gallery = sqrt((Height of Saturated Zone)^2-((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)). Here is an example- 10.29575 = sqrt((17.55)^2-((2*1.01*10)/0.1)).

How to calculate Depth of Water in Gallery given Discharge?

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

Can the Depth of Water in Gallery given Discharge be negative?

No, the Depth of Water in Gallery given Discharge, measured in Length cannot be negative.

Which unit is used to measure Depth of Water in Gallery given Discharge?

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

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Depth of Water in Gallery given Discharge Formula

Depth of Water in Gallery given Discharge Example

Depth of Water in Gallery given Discharge Solution

Depth of Water in Gallery given Discharge Formula Elements

Other formulas in Flow into Infiltration Gallery category

How to Evaluate Depth of Water in Gallery given Discharge?

FAQs on Depth of Water in Gallery given Discharge

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