Rate of Flow given Coefficient of Permeability Calculator

✖Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.ⓘ Coefficient of Permeability [K_w]			+10% -10%
✖Hydraulic Gradient in Envi. Engi. is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient in Envi. Engi. [i_e]			+10% -10%
✖Area of Cross Section in Enviro. Engin. is the enclosed surface area, product of length and breadth.ⓘ Area of Cross Section in Enviro. Engin. [A_xsec]			+10% -10%

✖Discharge is the rate of flow of a liquid.ⓘ Rate of Flow given Coefficient of Permeability [Q]

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Formula

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Rate of Flow given Coefficient of Permeability

Formula

`"Q" = "K"_{"w"}*"i"_{"e"}*"A"_{"xsec"}`

Example

`"1.08864m³/s"="1000cm/s"*"17.01"*"6400mm²"`

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Rate of Flow given Coefficient of Permeability Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.
Q = K_w*i_e*A_xsec
This formula uses 4 Variables

Variables Used

Discharge - (Measured in Cubic Meter per Second) - Discharge is the rate of flow of a liquid.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
Hydraulic Gradient in Envi. Engi. - Hydraulic Gradient in Envi. Engi. is a specific measurement of liquid pressure above a vertical datum.
Area of Cross Section in Enviro. Engin. - (Measured in Square Meter) - Area of Cross Section in Enviro. Engin. is the enclosed surface area, product of length and breadth.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Permeability: 1000 Centimeter per Second --> 10 Meter per Second (Check conversion here)
Hydraulic Gradient in Envi. Engi.: 17.01 --> No Conversion Required
Area of Cross Section in Enviro. Engin.: 6400 Square Millimeter --> 0.0064 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = K_w*i_e*A_xsec --> 10*17.01*0.0064

Evaluating ... ...

Q = 1.08864

STEP 3: Convert Result to Output's Unit

1.08864 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

1.08864 Cubic Meter per Second <-- Discharge

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Water Resources : Ground Water » Well Hydraulics » Unconfined Aquifer » Aquifer Discharge » Rate of Flow given Coefficient of Permeability

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 7 Aquifer Discharge Calculators

Discharge when Two Observation Well is Taken

Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))

Discharge given Length of Strainer

Go Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))

Discharge in Unconfined Aquifer

Go Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),e))

Discharge from Two Wells with Base 10

Go Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10))

Discharge in Unconfined Aquifer with Base 10

Go Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))

Rate of Flow given Coefficient of Permeability

Go Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.

Rate of Flow given Flow Velocity

Go Discharge = (Velocity of Flow*Area of Cross Section)

Rate of Flow given Coefficient of Permeability Formula

Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.
Q = K_w*i_e*A_xsec

What is Rate of Flow?

Rate of flow may refer to mass flow rate, the movement of mass per time.Volumetric flow rate, the volume of a fluid which passes through a given surface per unit of time.

How to Calculate Rate of Flow given Coefficient of Permeability?

Rate of Flow given Coefficient of Permeability calculator uses Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin. to calculate the Discharge, The Rate of Flow given Coefficient of Permeability is defined as the rate of flow or discharge when we have prior information of other parameters used. Discharge is denoted by Q symbol.

How to calculate Rate of Flow given Coefficient of Permeability using this online calculator? To use this online calculator for Rate of Flow given Coefficient of Permeability, enter Coefficient of Permeability (K_w), Hydraulic Gradient in Envi. Engi. (i_e) & Area of Cross Section in Enviro. Engin. (A_xsec) and hit the calculate button. Here is how the Rate of Flow given Coefficient of Permeability calculation can be explained with given input values -> 1.08864 = 10*17.01*0.0064.

FAQ

What is Rate of Flow given Coefficient of Permeability?

The Rate of Flow given Coefficient of Permeability is defined as the rate of flow or discharge when we have prior information of other parameters used and is represented as Q = K_w*i_e*A_xsec or Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.. Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils, Hydraulic Gradient in Envi. Engi. is a specific measurement of liquid pressure above a vertical datum & Area of Cross Section in Enviro. Engin. is the enclosed surface area, product of length and breadth.

How to calculate Rate of Flow given Coefficient of Permeability?

The Rate of Flow given Coefficient of Permeability is defined as the rate of flow or discharge when we have prior information of other parameters used is calculated using Discharge = Coefficient of Permeability*Hydraulic Gradient in Envi. Engi.*Area of Cross Section in Enviro. Engin.. To calculate Rate of Flow given Coefficient of Permeability, you need Coefficient of Permeability (K_w), Hydraulic Gradient in Envi. Engi. (i_e) & Area of Cross Section in Enviro. Engin. (A_xsec). With our tool, you need to enter the respective value for Coefficient of Permeability, Hydraulic Gradient in Envi. Engi & Area of Cross Section in Enviro. Engin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Discharge?

In this formula, Discharge uses Coefficient of Permeability, Hydraulic Gradient in Envi. Engi & Area of Cross Section in Enviro. Engin. We can use 6 other way(s) to calculate the same, which is/are as follows -

Discharge = (Velocity of Flow*Area of Cross Section)
Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Thickness of Unconfined Aquifer^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),e))
Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Aquifer Thickness^2-Depth of Water^2))/(log((Radius of Influence/Radius of well),10))
Discharge = (pi*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Observation Well 1),e))
Discharge = (1.36*Coefficient of Permeability in Well Hydraulics*(Depth of Water 2^2-Depth of Water 1^2))/(log((Radial Distance at Observation Well 2/Radial Distance at Well 1),10))
Discharge = (2.72*Coefficient of Permeability in Well Hydraulics*Total Drawdown in Well*(Length of strainer+(Total Drawdown in Well/2)))/(log((Radius of Influence/Radius of Well in Well Hydraulics),10))

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