Stanton Number given Fanning Friction Factor Calculator

✖The Fanning friction factor is a dimensionless number used in studying fluid friction in pipes. This friction factor is an indication of the resistance to fluid flow at the pipe wall.ⓘ Fanning Friction Factor [f]			+10% -10%
✖Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%

✖The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number given Fanning Friction Factor [St]

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Formula

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Stanton Number given Fanning Friction Factor

Formula

`"St" = ("f"/2)/("Pr")^(2/3)`

Example

`"0.005771"=("0.0091"/2)/("0.7")^(2/3)`

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Stanton Number given Fanning Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)
St = (f/2)/(Pr)^(2/3)
This formula uses 3 Variables

Variables Used

Stanton Number - The Stanton number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Fanning Friction Factor - The Fanning friction factor is a dimensionless number used in studying fluid friction in pipes. This friction factor is an indication of the resistance to fluid flow at the pipe wall.
Prandtl Number - Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Fanning Friction Factor: 0.0091 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St = (f/2)/(Pr)^(2/3) --> (0.0091/2)/(0.7)^(2/3)

Evaluating ... ...

St = 0.00577137601132691

STEP 3: Convert Result to Output's Unit

0.00577137601132691 --> No Conversion Required

FINAL ANSWER

0.00577137601132691 ≈ 0.005771 <-- Stanton Number

(Calculation completed in 00.004 seconds)

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< 11 Co-Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube

Go Nusselt Number = (Darcy Friction Factor/8)*(Reynolds Number-1000)*Prandtl Number/(1+12.7*((Darcy Friction Factor/8)^(0.5))*((Prandtl Number)^(2/3)-1))

Stanton Number using Basic Fluid Properties

Go Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)

Reynolds Number for Non-Circular Tubes

Go Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity

Reynolds Number for Circular Tubes

Go Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity

Fourier Number

Go Fourier Number = (Thermal Diffusivity*Characteristic Time)/(Characteristic Dimension^2)

Prandtl Number

Go Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity

Stanton Number using Dimensionless Numbers

Go Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)

Stanton Number given Fanning Friction Factor

Go Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)

Nusselt Number using Dittus Boelter Equation for Cooling

Go Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3

Nusselt Number using Dittus Boelter Equation for Heating

Go Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4

Prandtl Number using Diffusivities

Go Prandtl Number = Momentum Diffusivity/Thermal Diffusivity

Stanton Number given Fanning Friction Factor Formula

Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3)
St = (f/2)/(Pr)^(2/3)

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Stanton Number given Fanning Friction Factor?

Stanton Number given Fanning Friction Factor calculator uses Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3) to calculate the Stanton Number, The Stanton Number given Fanning Friction Factor formula indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater the Stanton number is, the more effectively heat is transferred. Stanton Number is denoted by St symbol.

How to calculate Stanton Number given Fanning Friction Factor using this online calculator? To use this online calculator for Stanton Number given Fanning Friction Factor, enter Fanning Friction Factor (f) & Prandtl Number (Pr) and hit the calculate button. Here is how the Stanton Number given Fanning Friction Factor calculation can be explained with given input values -> 0.005771 = (0.0091/2)/(0.7)^(2/3).

FAQ

What is Stanton Number given Fanning Friction Factor?

The Stanton Number given Fanning Friction Factor formula indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater the Stanton number is, the more effectively heat is transferred and is represented as St = (f/2)/(Pr)^(2/3) or Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3). The Fanning friction factor is a dimensionless number used in studying fluid friction in pipes. This friction factor is an indication of the resistance to fluid flow at the pipe wall & Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Stanton Number given Fanning Friction Factor?

The Stanton Number given Fanning Friction Factor formula indicates the degree of amount of heat delivered by fluid when there is heat transfer between solid surface and fluid. The greater the Stanton number is, the more effectively heat is transferred is calculated using Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3). To calculate Stanton Number given Fanning Friction Factor, you need Fanning Friction Factor (f) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Fanning Friction Factor & Prandtl 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 Stanton Number?

In this formula, Stanton Number uses Fanning Friction Factor & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)

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