Stanton number given Nusselt number and other dimensionless groups Calculator

✖The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.ⓘ Nusselt Number [Nu]			+10% -10%
✖The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.ⓘ Reynolds Number [Re]			+10% -10%
✖The 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 Nusselt number and other dimensionless groups [St]

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Formula

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Stanton number given Nusselt number and other dimensionless groups

Formula

`"St" = "Nu"/("Re"*"Pr")`

Example

`"0.001429"="5"/("5000"*"0.7")`

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Stanton number given Nusselt number and other dimensionless groups Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
St = Nu/(Re*Pr)
This formula uses 4 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.
Nusselt Number - The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion.
Reynolds Number - The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
Prandtl Number - The 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

Nusselt Number: 5 --> No Conversion Required
Reynolds Number: 5000 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St = Nu/(Re*Pr) --> 5/(5000*0.7)

Evaluating ... ...

St = 0.00142857142857143

STEP 3: Convert Result to Output's Unit

0.00142857142857143 --> No Conversion Required

FINAL ANSWER

0.00142857142857143 ≈ 0.001429 <-- Stanton Number

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Dimensionless groups » Stanton number given Nusselt number and other dimensionless groups

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Go Eckert Number = (Flow Velocity)^2/(Specific Heat Capacity*Temperature Difference)

Stanton number given Nusselt number and other dimensionless groups

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

Nusselt number given Stanton number and other dimensionless groups

Go Nusselt Number = Stanton Number*Reynolds Number*Prandtl Number

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Go Internal Conduction Resistance = Biot Number*Surface Convection Resistance

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Go Stanton Number = Wall heat transfer rate/Heat Transfer by Convection

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Go Prandtl Number = Peclet Number/Reynolds Number

Reynolds number given Inertia and Viscous Force

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Viscous force given Reynolds number

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Go Pressure Force = Euler Number*Inertia Force

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Go Gravity Force = Inertia Force/Froude Number

Froude Number

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Euler Number

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Stanton number given Nusselt number and other dimensionless groups Formula

Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number)
St = Nu/(Re*Pr)

What is convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid.

How to Calculate Stanton number given Nusselt number and other dimensionless groups?

Stanton number given Nusselt number and other dimensionless groups calculator uses Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number) to calculate the Stanton Number, The Stanton number given Nusselt number and other dimensionless groups formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid. Stanton Number is denoted by St symbol.

How to calculate Stanton number given Nusselt number and other dimensionless groups using this online calculator? To use this online calculator for Stanton number given Nusselt number and other dimensionless groups, enter Nusselt Number (Nu), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Stanton number given Nusselt number and other dimensionless groups calculation can be explained with given input values -> 0.001429 = 5/(5000*0.7).

FAQ

What is Stanton number given Nusselt number and other dimensionless groups?

The Stanton number given Nusselt number and other dimensionless groups formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid and is represented as St = Nu/(Re*Pr) or Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number). The Nusselt Number is the ratio of convective to conductive heat transfer at a boundary in a fluid. Convection includes both advection and diffusion, The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe & The 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 Nusselt number and other dimensionless groups?

The Stanton number given Nusselt number and other dimensionless groups formula is defined as the ratio of heat transferred into a fluid to the thermal capacity of fluid is calculated using Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number). To calculate Stanton number given Nusselt number and other dimensionless groups, you need Nusselt Number (Nu), Reynolds Number (Re) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Nusselt Number, Reynolds Number & 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 Nusselt Number, Reynolds Number & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stanton Number = Wall heat transfer rate/Heat Transfer by Convection

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