Hydraulic Gradient by Manning Formula given Diameter 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%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_p]			+10% -10%

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

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Hydraulic Gradient by Manning Formula given Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2
S = ((v_f*n)/(0.397*(D_p^(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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

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
Diameter of Pipe: 0.4 Meter --> 0.4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((v_f*n)/(0.397*(D_p^(2/3))))^2 --> ((11.96*0.009)/(0.397*(0.4^(2/3))))^2

Evaluating ... ...

S = 0.249432501908359

STEP 3: Convert Result to Output's Unit

0.249432501908359 --> No Conversion Required

FINAL ANSWER

0.249432501908359 ≈ 0.249433 <-- 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 by Manning Formula given Diameter Formula

LaTeX Go

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

What is Hydraulic Gradient ?

Hydraulic radius, in fluid mechanics, is the cross-sectional area of an open channel or pipe divided by the wetted perimeter, representing the effective size of the flow area for a given volume of fluid.

How to Calculate Hydraulic Gradient by Manning Formula given Diameter?

Hydraulic Gradient by Manning Formula given Diameter calculator uses Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2 to calculate the Hydraulic Gradient, The Hydraulic Gradient by Manning Formula given Diameter is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of diameter of pipe. Hydraulic Gradient is denoted by S symbol.

How to calculate Hydraulic Gradient by Manning Formula given Diameter using this online calculator? To use this online calculator for Hydraulic Gradient by Manning Formula given Diameter, enter Flow Velocity (v_f), Manning Coefficient (n) & Diameter of Pipe (D_p) and hit the calculate button. Here is how the Hydraulic Gradient by Manning Formula given Diameter calculation can be explained with given input values -> 0.249433 = ((11.96*0.009)/(0.397*(0.4^(2/3))))^2.

FAQ

What is Hydraulic Gradient by Manning Formula given Diameter?

The Hydraulic Gradient by Manning Formula given Diameter is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of diameter of pipe and is represented as S = ((v_f*n)/(0.397*(D_p^(2/3))))^2 or Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(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 & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

How to calculate Hydraulic Gradient by Manning Formula given Diameter?

The Hydraulic Gradient by Manning Formula given Diameter is defined as the value of hydraulic gradient calculated using Manning's formula, when we have prior information of diameter of pipe is calculated using Hydraulic Gradient = ((Flow Velocity*Manning Coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2. To calculate Hydraulic Gradient by Manning Formula given Diameter, you need Flow Velocity (v_f), Manning Coefficient (n) & Diameter of Pipe (D_p). With our tool, you need to enter the respective value for Flow Velocity, Manning Coefficient & Diameter of Pipe 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 & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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