Coefficient of Permeability given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source))
k = Q/(((H)^2-(Ho)^2)/(2*L))
This formula uses 5 Variables
Variables Used
Coefficient of Permeability - (Measured in Meter per Second) - The Coefficient of Permeability refers to the soil characteristics describes how easily a liquid will move through the soil.
Discharge - (Measured in Cubic Meter per Second) - The Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time.
Height of Saturated Zone - (Measured in Meter) - 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.
Depth of Water in Infiltration Gallery - (Measured in Meter) - The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery.
Distance Between IG and Source - (Measured in Meter) - The Distance Between IG and Source refers to the distance between the infiltration gallery and the source point.
STEP 1: Convert Input(s) to Base Unit
Discharge: 1.01 Cubic Meter per Second --> 1.01 Cubic Meter per Second No Conversion Required
Height of Saturated Zone: 17.55 Meter --> 17.55 Meter No Conversion Required
Depth of Water in Infiltration Gallery: 10.31 Meter --> 10.31 Meter No Conversion Required
Distance Between IG and Source: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = Q/(((H)^2-(Ho)^2)/(2*L)) --> 1.01/(((17.55)^2-(10.31)^2)/(2*10))
Evaluating ... ...
k = 0.100145558098305
STEP 3: Convert Result to Output's Unit
0.100145558098305 Meter per Second -->10.0145558098305 Centimeter per Second (Check conversion ​here)
FINAL ANSWER
10.0145558098305 10.01456 Centimeter per Second <-- Coefficient of Permeability
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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Flow into Infiltration Gallery Calculators

Height of Saturated Zone given Discharge
​ LaTeX ​ Go Height of Saturated Zone = sqrt(((2*Discharge*Distance Between IG and Source)/Coefficient of Permeability)+(Depth of Water in Infiltration Gallery)^2)
Discharge Passing through Vertical Section of Infiltration Gallery
​ LaTeX ​ Go Discharge = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Distance Between IG and Source)
Distance between Infiltration Gallery and Source given Discharge
​ LaTeX ​ Go Distance Between IG and Source = (Coefficient of Permeability*((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2))/(2*Discharge)
Coefficient of Permeability given Discharge
​ LaTeX ​ Go Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source))

Coefficient of Permeability given Discharge Formula

​LaTeX ​Go
Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source))
k = Q/(((H)^2-(Ho)^2)/(2*L))

What is Coefficient of Permeability ?

The rate of flow under laminar flow conditions through a unit cross sectional are of porous medium under unit hydraulic gradient is defined as coefficient of permeability.

How to Calculate Coefficient of Permeability given Discharge?

Coefficient of Permeability given Discharge calculator uses Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source)) to calculate the Coefficient of Permeability, The Coefficient of Permeability given Discharge is defined as the value of coefficient of permeability when we have prior information of other parameters used. Coefficient of Permeability is denoted by k symbol.

How to calculate Coefficient of Permeability given Discharge using this online calculator? To use this online calculator for Coefficient of Permeability given Discharge, enter Discharge (Q), Height of Saturated Zone (H), Depth of Water in Infiltration Gallery (Ho) & Distance Between IG and Source (L) and hit the calculate button. Here is how the Coefficient of Permeability given Discharge calculation can be explained with given input values -> 1001.456 = 1.01/(((17.55)^2-(10.31)^2)/(2*10)).

FAQ

What is Coefficient of Permeability given Discharge?
The Coefficient of Permeability given Discharge is defined as the value of coefficient of permeability when we have prior information of other parameters used and is represented as k = Q/(((H)^2-(Ho)^2)/(2*L)) or Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source)). The Discharge refers to the volume of fluid passing through a cross-sectional area of a stream or pipe per unit time, 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, The Depth of Water in Infiltration Gallery refers to the depth of water which is considered inside the infiltration gallery & The Distance Between IG and Source refers to the distance between the infiltration gallery and the source point.
How to calculate Coefficient of Permeability given Discharge?
The Coefficient of Permeability given Discharge is defined as the value of coefficient of permeability when we have prior information of other parameters used is calculated using Coefficient of Permeability = Discharge/(((Height of Saturated Zone)^2-(Depth of Water in Infiltration Gallery)^2)/(2*Distance Between IG and Source)). To calculate Coefficient of Permeability given Discharge, you need Discharge (Q), Height of Saturated Zone (H), Depth of Water in Infiltration Gallery (Ho) & Distance Between IG and Source (L). With our tool, you need to enter the respective value for Discharge, Height of Saturated Zone, Depth of Water in Infiltration Gallery & Distance Between IG and Source and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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