Hydraulic Gradient given Rate of Flow of Water Calculator

✖Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc.ⓘ Rate of Flow of Water through Soil [q_flow]			+10% -10%
✖Coefficient of Permeability is a measure of a soil's ability to allow water to flow through its pores. Essential in the design of retaining walls, cutoff walls, and other seepage control measures.ⓘ Coefficient of Permeability [k]			+10% -10%
✖Cross Sectional Area in Permeability is the surface area perpendicular to the direction of fluid flow through which the fluid moves. It is important in the design of hydraulic structures such as dams.ⓘ Cross Sectional Area in Permeability [A_cs]			+10% -10%

✖Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head.ⓘ Hydraulic Gradient given Rate of Flow of Water [i]

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Hydraulic Gradient given Rate of Flow of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability))
i = (q_flow/(k*A_cs))
This formula uses 4 Variables

Variables Used

Hydraulic Gradient in Soil - Hydraulic Gradient in Soil is the driving force that causes groundwater to move in the direction of maximum decreasing total head.
Rate of Flow of Water through Soil - (Measured in Cubic Meter per Second) - Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc.
Coefficient of Permeability - (Measured in Meter per Second) - Coefficient of Permeability is a measure of a soil's ability to allow water to flow through its pores. Essential in the design of retaining walls, cutoff walls, and other seepage control measures.
Cross Sectional Area in Permeability - (Measured in Square Meter) - Cross Sectional Area in Permeability is the surface area perpendicular to the direction of fluid flow through which the fluid moves. It is important in the design of hydraulic structures such as dams.

STEP 1: Convert Input(s) to Base Unit

Rate of Flow of Water through Soil: 24 Cubic Meter per Second --> 24 Cubic Meter per Second No Conversion Required
Coefficient of Permeability: 0.99 Meter per Second --> 0.99 Meter per Second No Conversion Required
Cross Sectional Area in Permeability: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = (q_flow/(k*A_cs)) --> (24/(0.99*13))

Evaluating ... ...

i = 1.86480186480186

STEP 3: Convert Result to Output's Unit

1.86480186480186 --> No Conversion Required

FINAL ANSWER

1.86480186480186 ≈ 1.864802 <-- Hydraulic Gradient in Soil

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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Hydraulic Gradient given Rate of Flow of Water Formula

LaTeX Go

Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability))
i = (q_flow/(k*A_cs))

What is Hydraulic Gradient?

Hydraulic gradient or piezometric head is a specific measurement of liquid pressure above a vertical datum. It is usually measured as a liquid surface elevation, expressed in units of length, at the entrance of a piezometer.

How to Calculate Hydraulic Gradient given Rate of Flow of Water?

Hydraulic Gradient given Rate of Flow of Water calculator uses Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability)) to calculate the Hydraulic Gradient in Soil, The Hydraulic Gradient given Rate of Flow of Water formula is defined as a measure of the change in hydraulic head (water pressure or energy level) per unit distance in the direction of the greatest rate of decrease of hydraulic head. Hydraulic Gradient in Soil is denoted by i symbol.

How to calculate Hydraulic Gradient given Rate of Flow of Water using this online calculator? To use this online calculator for Hydraulic Gradient given Rate of Flow of Water, enter Rate of Flow of Water through Soil (q_flow), Coefficient of Permeability (k) & Cross Sectional Area in Permeability (A_cs) and hit the calculate button. Here is how the Hydraulic Gradient given Rate of Flow of Water calculation can be explained with given input values -> 1.864802 = (24/(0.99*13)).

FAQ

What is Hydraulic Gradient given Rate of Flow of Water?

The Hydraulic Gradient given Rate of Flow of Water formula is defined as a measure of the change in hydraulic head (water pressure or energy level) per unit distance in the direction of the greatest rate of decrease of hydraulic head and is represented as i = (q_flow/(k*A_cs)) or Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability)). Rate of Flow of Water through Soil is the rate at which a water flows through a particular channel, pipe, etc, Coefficient of Permeability is a measure of a soil's ability to allow water to flow through its pores. Essential in the design of retaining walls, cutoff walls, and other seepage control measures & Cross Sectional Area in Permeability is the surface area perpendicular to the direction of fluid flow through which the fluid moves. It is important in the design of hydraulic structures such as dams.

How to calculate Hydraulic Gradient given Rate of Flow of Water?

The Hydraulic Gradient given Rate of Flow of Water formula is defined as a measure of the change in hydraulic head (water pressure or energy level) per unit distance in the direction of the greatest rate of decrease of hydraulic head is calculated using Hydraulic Gradient in Soil = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Cross Sectional Area in Permeability)). To calculate Hydraulic Gradient given Rate of Flow of Water, you need Rate of Flow of Water through Soil (q_flow), Coefficient of Permeability (k) & Cross Sectional Area in Permeability (A_cs). With our tool, you need to enter the respective value for Rate of Flow of Water through Soil, Coefficient of Permeability & Cross Sectional Area in Permeability 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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