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%
✖The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.ⓘ Coefficient of Permeability [k]			+10% -10%
✖Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.ⓘ 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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Formula

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Hydraulic Gradient given Rate of Flow of Water

Formula

`"i" = ("q"_{"flow"}/("k"*"A"_{"cs"}))`

Example

`"1.864802"=("24m³/s"/("0.99m/s"*"13m²"))`

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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) - The Coefficient of Permeability of soil describes how easily a liquid will move through the soil.
Cross Sectional Area in Permeability - (Measured in Square Meter) - Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.

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 00.020 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Compaction of Soil » Soil Compaction Test » Hydraulic Gradient given Rate of Flow of Water

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 24 Soil Compaction Test Calculators

Cross-sectional Area of Soil Conveying Flow given Rate of Flow of Water

Go Cross Sectional Area in Permeability = (Rate of Flow of Water through Soil/(Coefficient of Permeability*Hydraulic Gradient in Soil))

Coefficient of Permeability given Rate of Flow of Water

Go Coefficient of Permeability = (Rate of Flow of Water through Soil/(Hydraulic Gradient in Soil*Cross Sectional Area in Permeability))

Hydraulic Gradient given Rate of Flow of Water

Go 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 Saturated Soil by Darcy's Law

Go Rate of Flow of Water through Soil = (Coefficient of Permeability*Hydraulic Gradient in Soil*Cross Sectional Area in Permeability)

Settlement of Plate in Load Bearing Test

Go Settlement of Plate = Settlement Foundation*((1+Width of Full Size Bearing Plate)/(2*Width of Full Size Bearing Plate))^2

Width of Full Size Bearing Plate in Load Bearing Test

Go Width of Full Size Bearing Plate = (1/(2*sqrt(Settlement of Plate/Settlement Foundation)-1))

Weight of Moist Soil given Percent Moisture in Sand Cone Method

Go Weight of Moist Soil = ((Percent Moisture*Weight of Dry Soil/100)+Weight of Dry Soil)

Percent Moisture in Sand Cone Method

Go Percent Moisture = (100*(Weight of Moist Soil-Weight of Dry Soil))/Weight of Dry Soil

Force per Unit Area Required for Penetration of Standard Material given CBR

Go Force Per Unit Area Stand. = (Force per Unit Area/California Bearing Ratio)

California Bearing Ratio for Strength of Soil that Underlies Pavement

Go California Bearing Ratio = (Force per Unit Area/Force Per Unit Area Stand.)

Force per Unit Area Required to Penetrate Soil Mass with Circular Piston given CBR

Go Force per Unit Area = California Bearing Ratio*Force Per Unit Area Stand.

Weight of Dry Soil given Percent Moisture in Sand Cone Method

Go Weight of Dry Soil = (100*Weight of Moist Soil)/(Percent Moisture+100)

Field Density of Soil given Dry Density of Soil in Sand Cone Method

Go Bulk Density of Soil = (Dry Density*(1+(Percent Moisture/100)))

Dry Density of Soil in Sand Cone Method

Go Dry Density = (Bulk Density of Soil/(1+(Percent Moisture/100)))

Percent Moisture Content given Dry Density of Soil in Sand Cone Method

Go Percent Moisture = 100*((Bulk Density of Soil/Dry Density)-1)

Weight of Soil given Field Density in Sand Cone Method

Go Weight of Total Soil = (Bulk Density of Soil*Volume of Soil)

Volume of Soil given Field Density in Sand Cone Method

Go Volume of Soil = (Weight of Total Soil/Bulk Density of Soil)

Field Density in Sand Cone Method

Go Bulk Density of Soil = (Weight of Total Soil/Volume of Soil)

Dry Density of Soil given Percent Compaction of Soil in Sand Cone Method

Go Dry Density = (Percent Compaction*Dry Density Maximum)/100

Percent Compaction of Soil in Sand Cone Method

Go Percent Compaction = (100*Dry Density)/Dry Density Maximum

Weight of Sand Filling Hole given Volume of Soil for Sand Filling in Sand Cone Method

Go Weight of Total Soil = (Volume of Soil*Density of Sand)

Density of Sand given Volume of Soil for Sand Filling in Sand Cone Method

Go Density of Sand = (Weight of Total Soil/Volume of Soil)

Volume of Soil for Sand Filling in Sand Cone Method

Go Volume of Soil = (Weight of Total Soil/Density of Sand)

Maximum Dry Density given Percent Compaction of Soil in Sand Cone Method

Go Dry Density Maximum = (Dry Density)/Percent Compaction

Hydraulic Gradient given Rate of Flow of Water Formula

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 is defined as the specific measurement of liquid pressure above a vertical datum. 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 is defined as the specific measurement of liquid pressure above a vertical datum 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, The Coefficient of Permeability of soil describes how easily a liquid will move through the soil & Cross Sectional Area in Permeability is defined as the area of tube used in permeability test.

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

The Hydraulic Gradient given Rate of Flow of Water is defined as the specific measurement of liquid pressure above a vertical datum 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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