Diameter of Section given Froude Number Calculator

✖Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity for Froude Number [V_FN]			+10% -10%
✖Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Froude Number [Fr]			+10% -10%

✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section given Froude Number [d_section]

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Formula

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Diameter of Section given Froude Number

Formula

`"d"_{"section"} = (("V"_{"FN"}/"Fr")^2)/"[g]"`

Example

`"4.996609m"=(("70m/s"/"10")^2)/"[g]"`

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Diameter of Section given Froude Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]
d_section = ((V_FN/Fr)^2)/[g]
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Mean Velocity for Froude Number - (Measured in Meter per Second) - Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Froude Number - Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity for Froude Number: 70 Meter per Second --> 70 Meter per Second No Conversion Required
Froude Number: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = ((V_FN/Fr)^2)/[g] --> ((70/10)^2)/[g]

Evaluating ... ...

d_section = 4.99660944359185

STEP 3: Convert Result to Output's Unit

4.99660944359185 Meter --> No Conversion Required

FINAL ANSWER

4.99660944359185 ≈ 4.996609 Meter <-- Diameter of Section

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 23 Specific Energy and Critical Depth Calculators

Discharge through Area

Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))

Area of Section given Discharge

Go Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))

Volume of Liquid Considering Condition of Maximum Discharge

Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval

Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])

Total Energy per unit Weight of Water in Flow Section given Discharge

Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Area of Section Considering Condition of Maximum Discharge

Go Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

Depth of Flow given Discharge

Go Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Discharge through Section Considering Condition of Minimum Specific Energy

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Discharge through Section Considering Condition of Maximum Discharge

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Top Width of Section Considering Condition of Maximum Discharge

Go Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)

Datum Height for Total Energy per unit Weight of Water in Flow Section

Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)

Mean Velocity of Flow given Froude Number

Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])

Froude Number given Velocity

Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)

Total Energy per unit Weight of Water in Flow Section

Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum

Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])

Diameter of Section given Froude Number

Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]

Area of Section of Open Channel Considering Condition of Minimum Specific Energy

Go Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)

Top Width of Section through Section Considering Condition of Minimum Specific Energy

Go Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))

Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy

Go Mean Velocity = sqrt([g]*Diameter of Section)

Diameter of Section through Section Considering Condition of Minimum Specific Energy

Go Diameter of Section = (Mean Velocity^2)/[g]

Diameter of Section given Froude Number Formula

Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]
d_section = ((V_FN/Fr)^2)/[g]

What is Froude Number?

The Froude number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders. The denominator represents the speed of a small wave on the water surface relative to the speed of the water, called wave celerity.

How to Calculate Diameter of Section given Froude Number?

Diameter of Section given Froude Number calculator uses Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g] to calculate the Diameter of Section, The Diameter of Section given Froude Number is defined as the width of section at any point of path in flow. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Froude Number using this online calculator? To use this online calculator for Diameter of Section given Froude Number, enter Mean Velocity for Froude Number (V_FN) & Froude Number (Fr) and hit the calculate button. Here is how the Diameter of Section given Froude Number calculation can be explained with given input values -> 2.549291 = ((70/10)^2)/[g].

FAQ

What is Diameter of Section given Froude Number?

The Diameter of Section given Froude Number is defined as the width of section at any point of path in flow and is represented as d_section = ((V_FN/Fr)^2)/[g] or Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]. Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T & Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.

How to calculate Diameter of Section given Froude Number?

The Diameter of Section given Froude Number is defined as the width of section at any point of path in flow is calculated using Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]. To calculate Diameter of Section given Froude Number, you need Mean Velocity for Froude Number (V_FN) & Froude Number (Fr). With our tool, you need to enter the respective value for Mean Velocity for Froude Number & Froude Number 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 Diameter of Section?

In this formula, Diameter of Section uses Mean Velocity for Froude Number & Froude Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Section = (Mean Velocity^2)/[g]

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