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 = ((vf*n)/(0.397*(Dp^(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 a constant given by manning and depend on type of pipe.
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 = ((vf*n)/(0.397*(Dp^(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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18 Manning's Formula Calculators

Velocity of Flow in Pipe given Head loss by Manning Formula
Go Flow Velocity = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient given Head loss by Manning Formula
Go Manning coefficient = sqrt((Head Loss*0.157*Diameter of Pipe^(4/3))/(Length of Pipe*Flow Velocity^2))
Velocity of Flow in Pipe by Manning Formula given Radius of Pipe
Go Flow Velocity = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Manning coefficient^2))
Manning's Coefficient by Manning Formula given Radius of Pipe
Go Manning coefficient = sqrt((Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Length of Pipe*Flow Velocity^2))
Radius of Pipe given Head loss by Manning Formula
Go Pipe Radius = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss*(2)^(4/3)))^(3/4)
Diameter of Pipe given Head loss by Manning Formula
Go Diameter of Pipe = ((Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*Head Loss))^(3/4)
Head loss by Manning Formula
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(Diameter of Pipe)^(4/3))
Head loss by Manning Formula given Radius of Pipe
Go Head Loss = (Length of Pipe*(Manning coefficient*Flow Velocity)^2)/(0.157*(2*Pipe Radius)^(4/3))
Length of Pipe given Head loss by Manning Formula
Go Length of Pipe = (Head Loss*0.157*Diameter of Pipe^(4/3))/(Manning coefficient*Flow Velocity)^2
Length of Pipe by Manning Formula given Radius of Pipe
Go Length of Pipe = (Head Loss*0.157*(2*Pipe Radius)^(4/3))/(Manning coefficient*Flow Velocity)^2
Diameter of Pipe given Velocity of Flow in Pipe by Manning Formula
Go Diameter of Pipe = ((Flow Velocity*Manning coefficient)/(0.397*(Hydraulic Gradient^(1/2))))^(3/2)
Velocity of Flow in Pipe by Manning Formula given Diameter
Go Flow Velocity = (0.397/Manning coefficient)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Manning's Coefficient given Diameter of Pipe
Go Manning coefficient = (0.397/Flow Velocity)*(Diameter of Pipe^(2/3))*(Hydraulic Gradient^(1/2))
Hydraulic Gradient by Manning Formula given Diameter
Go Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2
Velocity of Flow in Pipe by Manning Formula
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
Go Hydraulic Radius = ((Flow Velocity*Manning coefficient)/(Hydraulic Gradient^(1/2)))^(3/2)
Manning's Coefficient given Velocity of Flow
Go Manning coefficient = ((Hydraulic Radius^(2/3))*(Hydraulic Gradient^(1/2)))/Flow Velocity
Hydraulic Gradient given Velocity of Flow in Pipe by Manning Formula
Go Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(Hydraulic Radius^(2/3)))^2

Hydraulic Gradient by Manning Formula given Diameter Formula

Hydraulic Gradient = ((Flow Velocity*Manning coefficient)/(0.397*(Diameter of Pipe^(2/3))))^2
S = ((vf*n)/(0.397*(Dp^(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, Hydraulic Gradient by Manning Formula given Diameter calculates value of hydraulic gradient when we have prior information of other parameters used. 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 (vf), Manning coefficient (n) & Diameter of Pipe (Dp) 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?
Hydraulic Gradient by Manning Formula given Diameter calculates value of hydraulic gradient when we have prior information of other parameters used and is represented as S = ((vf*n)/(0.397*(Dp^(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 a constant given by manning and depend on type of pipe & 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?
Hydraulic Gradient by Manning Formula given Diameter calculates value of hydraulic gradient when we have prior information of other parameters used 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 (vf), Manning coefficient (n) & Diameter of Pipe (Dp). 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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