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 - 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 <-- Stanton Number
(Calculation completed in 00.015 seconds)

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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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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), St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of 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 -> 0.001429 = 5/(5000*0.7).

FAQ

What is Stanton Number (using dimensionless numbers)?
The Stanton number (using dimensionless numbers), St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of 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). 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 (using dimensionless numbers)?
The Stanton number (using dimensionless numbers), St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of 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)
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