## Stanton Number using Dimensionless Numbers 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 - 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 - 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.
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
Nusselt Number: 7 --> 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) --> 7/(5000*0.7)
Evaluating ... ...
St = 0.002
STEP 3: Convert Result to Output's Unit
0.002 --> No Conversion Required
0.002 <-- Stanton Number
(Calculation completed in 00.000 seconds)
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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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## < 10+ Co-Relation of Dimensionless Numbers Calculators

Nusselt Number for Transitional and Rough Flow in Circular Tube
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)) Go
Stanton Number using Basic Fluid Properties
Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density) Go
Reynolds Number for Non-Circular Tubes
Reynolds Number = Density*Fluid Velocity*Characteristic Length/Dynamic Viscosity Go
Reynolds Number for Circular Tubes
Reynolds Number = Density*Fluid Velocity*Diameter of Tube/Dynamic Viscosity Go
Prandtl Number
Prandtl Number = Specific Heat Capacity*Dynamic Viscosity/Thermal Conductivity Go
Stanton Number using Dimensionless Numbers
Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number) Go
Stanton Number given Fanning Friction Factor
Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3) Go
Nusselt Number Using Dittus Boelter Equation for Cooling
Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.3 Go
Nusselt Number Using Dittus Boelter Equation for Heating
Nusselt Number = 0.023*(Reynolds Number)^0.8*(Prandtl Number)^0.4 Go
Prandtl Number using Diffusivities
Prandtl Number = Momentum Diffusivity/Thermal Diffusivity Go

## Stanton Number using Dimensionless Numbers Formula

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

## What is the Stanton number?

The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid.

## How to Calculate Stanton Number using Dimensionless Numbers?

Stanton Number using Dimensionless Numbers calculator uses Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number) to calculate the Stanton Number, The Stanton Number using Dimensionless Numbers is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows. Stanton Number is denoted by St symbol.

How to calculate Stanton Number using Dimensionless Numbers using this online calculator? To use this online calculator for Stanton Number using Dimensionless Numbers, enter Nusselt Number (Nu), Reynolds Number (Re) & Prandtl Number (Pr) and hit the calculate button. Here is how the Stanton Number using Dimensionless Numbers calculation can be explained with given input values -> 0.002 = 7/(5000*0.7).

### FAQ

What is Stanton Number using Dimensionless Numbers?
The Stanton Number using Dimensionless Numbers is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows and is represented as St = Nu/(Re*Pr) or Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number). 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 is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities & 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 using Dimensionless Numbers?
The Stanton Number using Dimensionless Numbers is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows is calculated using Stanton Number = Nusselt Number/(Reynolds Number*Prandtl Number). To calculate Stanton Number using Dimensionless Numbers, 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 2 other way(s) to calculate the same, which is/are as follows -
• Stanton Number = External Convection Heat Transfer Coefficient/(Specific Heat Capacity*Fluid Velocity*Density)
• Stanton Number = (Fanning Friction Factor/2)/(Prandtl Number)^(2/3) Let Others Know