Hydraulic Gradient given Rate of Flow Calculator

✖Rate of Flow in Unconfined Aquifer is the rate at which a liquid or other substance flows through an unconfined aquifer material.ⓘ Rate of Flow in Unconfined Aquifer [V_uaq]			+10% -10%
✖Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.ⓘ Coefficient of Permeability [K_w]			+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%

✖Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient given Rate of Flow [i]

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Hydraulic Gradient given Rate of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.))
i = (V_uaq/(K_w*A_xsec))
This formula uses 4 Variables

Variables Used

Hydraulic Gradient - Hydraulic gradient is a specific measurement of liquid pressure above a vertical datum.
Rate of Flow in Unconfined Aquifer - (Measured in Cubic Meter per Second) - Rate of Flow in Unconfined Aquifer is the rate at which a liquid or other substance flows through an unconfined aquifer material.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils.
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

Rate of Flow in Unconfined Aquifer: 0.16 Cubic Meter per Second --> 0.16 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 1125 Centimeter per Second --> 11.25 Meter per Second (Check conversion here)
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

i = (V_uaq/(K_w*A_xsec)) --> (0.16/(11.25*0.0064))

Evaluating ... ...

i = 2.22222222222222

STEP 3: Convert Result to Output's Unit

2.22222222222222 --> No Conversion Required

FINAL ANSWER

2.22222222222222 ≈ 2.222222 <-- Hydraulic Gradient

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Flow Velocity Calculators

Hydraulic Gradient given Rate of Flow

LaTeX Go Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.))

Flow Velocity when Reynold's Number is Unity

LaTeX Go Flow Velocity for Unconfined Aquifer = (Dynamic Viscosity for Aquifer/(Mass Density*Diameter of Particle))

Flow Velocity given Coefficient of Permeability

LaTeX Go Flow Velocity = (Coefficient of Permeability in Well Hydraulics*Hydraulic Gradient in Envi. Engi.)

Flow Velocity given Rate of Flow

LaTeX Go Velocity of Flow = (Rate of Flow in Unconfined Aquifer/Area of Cross Section in Enviro. Engin.)

Hydraulic Gradient given Rate of Flow Formula

LaTeX Go

Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.))
i = (V_uaq/(K_w*A_xsec))

What is Hydraulic Gradient?

The hydraulic gradient is the slope of the water table or potentiometric surface, that is, the change in water level per unit of distance along the direction of maximum head decrease. It is determined by measuring the water level in several wells.

How to Calculate Hydraulic Gradient given Rate of Flow?

Hydraulic Gradient given Rate of Flow calculator uses Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.)) to calculate the Hydraulic Gradient, The Hydraulic Gradient given Rate of Flow is defined as the slope of water table or potentiometric surface, that is, change in water level per unit of distance along direction of maximum head decrease. Hydraulic Gradient is denoted by i symbol.

How to calculate Hydraulic Gradient given Rate of Flow using this online calculator? To use this online calculator for Hydraulic Gradient given Rate of Flow, enter Rate of Flow in Unconfined Aquifer (V_uaq), Coefficient of Permeability (K_w) & Area of Cross Section in Enviro. Engin. (A_xsec) and hit the calculate button. Here is how the Hydraulic Gradient given Rate of Flow calculation can be explained with given input values -> 2.5 = (0.16/(11.25*0.0064)).

FAQ

What is Hydraulic Gradient given Rate of Flow?

The Hydraulic Gradient given Rate of Flow is defined as the slope of water table or potentiometric surface, that is, change in water level per unit of distance along direction of maximum head decrease and is represented as i = (V_uaq/(K_w*A_xsec)) or Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.)). Rate of Flow in Unconfined Aquifer is the rate at which a liquid or other substance flows through an unconfined aquifer material, Coefficient of Permeability is the velocity in meters or centimeters per second of water through soils & Area of Cross Section in Enviro. Engin. is the enclosed surface area, product of length and breadth.

How to calculate Hydraulic Gradient given Rate of Flow?

The Hydraulic Gradient given Rate of Flow is defined as the slope of water table or potentiometric surface, that is, change in water level per unit of distance along direction of maximum head decrease is calculated using Hydraulic Gradient = (Rate of Flow in Unconfined Aquifer/(Coefficient of Permeability*Area of Cross Section in Enviro. Engin.)). To calculate Hydraulic Gradient given Rate of Flow, you need Rate of Flow in Unconfined Aquifer (V_uaq), Coefficient of Permeability (K_w) & Area of Cross Section in Enviro. Engin. (A_xsec). With our tool, you need to enter the respective value for Rate of Flow in Unconfined Aquifer, Coefficient of Permeability & 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 Hydraulic Gradient?

In this formula, Hydraulic Gradient uses Rate of Flow in Unconfined Aquifer, Coefficient of Permeability & Area of Cross Section in Enviro. Engin. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Gradient = (Velocity of Flow/Coefficient of Permeability)

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