Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Calculator

✖Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.ⓘ Flow Velocity [v_f]			+10% -10%
✖Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.ⓘ Manning Coefficient [n]			+10% -10%
✖Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.ⓘ Hydraulic Radius [R_h]			+10% -10%

✖Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.ⓘ Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula [S]

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Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2
S = ((v_f*n)/(R_h^(2/3)))^2
This formula uses 4 Variables

Variables Used

Hydraulic Gradient - Hydraulic Gradient is a specific measurement of liquid pressure above a vertical datum.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time.
Manning Coefficient - Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows.
Hydraulic Radius - (Measured in Meter) - Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.

STEP 1: Convert Input(s) to Base Unit

Flow Velocity: 11.96 Meter per Second --> 11.96 Meter per Second No Conversion Required
Manning Coefficient: 0.009 --> No Conversion Required
Hydraulic Radius: 0.1 Meter --> 0.1 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((v_f*n)/(R_h^(2/3)))^2 --> ((11.96*0.009)/(0.1^(2/3)))^2

Evaluating ... ...

S = 0.249620765977708

STEP 3: Convert Result to Output's Unit

0.249620765977708 --> No Conversion Required

FINAL ANSWER

0.249620765977708 ≈ 0.249621 <-- Hydraulic Gradient

(Calculation completed in 00.004 seconds)

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< Manning's Formula Calculators

Velocity of Flow in Pipe by Manning Formula

LaTeX Go Flow Velocity = (1/Manning Coefficient)*(Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2))

Radius of Pipe given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Radius = ((Flow Velocity*Manning Coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)

Manning's Coefficient given Velocity of Flow

LaTeX Go Manning Coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula

LaTeX Go Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula Formula

LaTeX Go

Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2
S = ((v_f*n)/(R_h^(2/3)))^2

What is Hydraulic Gradient ?

Hydraulic gradient is the slope of the water table or piezometric surface in the direction of groundwater flow, influencing the movement of groundwater in subsurface systems.

How to Calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?

Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula calculator uses Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2 to calculate the Hydraulic Gradient, The Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of velocity of flow. Hydraulic Gradient is denoted by S symbol.

How to calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula using this online calculator? To use this online calculator for Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula, enter Flow Velocity (v_f), Manning Coefficient (n) & Hydraulic Radius (R_h) and hit the calculate button. Here is how the Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula calculation can be explained with given input values -> 0.249621 = ((11.96*0.009)/(0.1^(2/3)))^2.

FAQ

What is Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?

The Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of velocity of flow and is represented as S = ((v_f*n)/(R_h^(2/3)))^2 or Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2. Flow Velocity refers to the speed at which a fluid, such as a liquid or gas, moves through a particular area within a given time, Manning Coefficient is dimensionless and varies depending on the type of channel or surface through which water flows & Hydraulic Radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter.

How to calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula?

The Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of velocity of flow is calculated using Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(Hydraulic Radius^(2/3)))^2. To calculate Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula, you need Flow Velocity (v_f), Manning Coefficient (n) & Hydraulic Radius (R_h). With our tool, you need to enter the respective value for Flow Velocity, Manning Coefficient & Hydraulic Radius 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 Flow Velocity, Manning Coefficient & Hydraulic Radius. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2

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