Stanton Number for Incompressible Flow Calculator

✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.ⓘ Prandtl Number [Pr]			+10% -10%
✖The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, indicating whether the flow is laminar or turbulent.ⓘ Reynolds Number [Re]			+10% -10%

✖The Stanton Number is a dimensionless quantity that characterizes the heat transfer in fluid flow, indicating the relationship between heat transfer and fluid dynamics.ⓘ Stanton Number for Incompressible Flow [St]

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Stanton Number for Incompressible Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number)
St = 0.332*(Pr^(-2/3))/sqrt(Re)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Stanton Number - The Stanton Number is a dimensionless quantity that characterizes the heat transfer in fluid flow, indicating the relationship between heat transfer and fluid dynamics.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics.
Reynolds Number - The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, indicating whether the flow is laminar or turbulent.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St = 0.332*(Pr^(-2/3))/sqrt(Re) --> 0.332*(0.7^(-2/3))/sqrt(5000)

Evaluating ... ...

St = 0.00595553875154443

STEP 3: Convert Result to Output's Unit

0.00595553875154443 --> No Conversion Required

FINAL ANSWER

0.00595553875154443 ≈ 0.005956 <-- Stanton Number

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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PSG College of Technology (PSGCT), Coimbatore

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< Aero Thermal Dynamics Calculators

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Non Dimensional Internal Energy Parameter using Wall-to-Freestream Temperature Ratio

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Wall Temperature Calculation using Internal Energy Change

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Stanton Number for Incompressible Flow Formula

LaTeX Go

Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number)
St = 0.332*(Pr^(-2/3))/sqrt(Re)

What is 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.

How to Calculate Stanton Number for Incompressible Flow?

Stanton Number for Incompressible Flow calculator uses Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number) to calculate the Stanton Number, Stanton Number for Incompressible Flow formula is defined as a dimensionless quantity used to characterize heat transfer in incompressible flows, particularly in boundary layers, and is an important parameter in the study of convective heat transfer in various engineering applications. Stanton Number is denoted by St symbol.

How to calculate Stanton Number for Incompressible Flow using this online calculator? To use this online calculator for Stanton Number for Incompressible Flow, enter Prandtl Number (Pr) & Reynolds Number (Re) and hit the calculate button. Here is how the Stanton Number for Incompressible Flow calculation can be explained with given input values -> 0.005956 = 0.332*(0.7^(-2/3))/sqrt(5000).

FAQ

What is Stanton Number for Incompressible Flow?

Stanton Number for Incompressible Flow formula is defined as a dimensionless quantity used to characterize heat transfer in incompressible flows, particularly in boundary layers, and is an important parameter in the study of convective heat transfer in various engineering applications and is represented as St = 0.332*(Pr^(-2/3))/sqrt(Re) or Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number). The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to thermal diffusion in fluid flow, influencing heat transfer characteristics & The Reynolds Number is a dimensionless quantity that helps predict flow patterns in different fluid flow situations, indicating whether the flow is laminar or turbulent.

How to calculate Stanton Number for Incompressible Flow?

Stanton Number for Incompressible Flow formula is defined as a dimensionless quantity used to characterize heat transfer in incompressible flows, particularly in boundary layers, and is an important parameter in the study of convective heat transfer in various engineering applications is calculated using Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number). To calculate Stanton Number for Incompressible Flow, you need Prandtl Number (Pr) & Reynolds Number (Re). With our tool, you need to enter the respective value for Prandtl Number & Reynolds 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 Prandtl Number & Reynolds Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stanton Number = Overall Skin-friction Drag Coefficient*0.5*Prandtl Number^(-2/3)

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