Stanton Number for Incompressible Flow Calculator

✖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 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.ⓘ Reynolds Number [Re]			+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 for Incompressible Flow [St]

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Formula

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Stanton Number for Incompressible Flow

Formula

`"St" = 0.332*("Pr"^(-2/3))/sqrt("Re")`

Example

`"0.005956"=0.332*(("0.7")^(-2/3))/sqrt("5000")`

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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 number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
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.
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.

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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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Viscous Flow Fundamentals » Aero-Thermal Dynamics » Stanton Number for Incompressible Flow

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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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< 16 Aero-Thermal Dynamics Calculators

Aerodynamic Heating to Surface

Go Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)

Static Viscosity Calculation using Chapman-Rubesin Factor

Go Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density)

Static Density Calculation using Chapman-Rubesin Factor

Go Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity)

Chapman-Rubesin Factor

Go Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity)

Viscosity Calculation using Chapman-Rubesin Factor

Go Kinematic Viscosity = Chapman–Rubesin factor*Static Density*Static Viscosity/(Density)

Density Calculation using Chapman-Rubesin Factor

Go Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity)

Thermal Conductivity using Prandtl Number

Go Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number

Non Dimensional Internal Energy Parameter

Go Non-Dimensional Internal Energy = Internal Energy/(Specific Heat Capacity*Temperature)

Stanton Number for Incompressible Flow

Go Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number)

Wall Temperature Calculation using Internal Energy Change

Go Temperature of wall in Kelvin = Non-Dimensional Internal Energy*Free Stream Temperature

Stanton Equation using Overall Skin Friction Coefficient for Incompressible Flow

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

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

Go Non-Dimensional Internal Energy = Wall Temperature/Free Stream Temperature

Internal Energy for Hypersonic Flow

Go Internal Energy = Enthalpy+Pressure/Density

Non Dimensional Static Enthalpy

Go Non Dimensional Static Enthalpy = Stagnation Enthalpy/Static Enthalpy

Coefficient of Friction using Stanton Equation for Incompressible Flow

Go Coefficient of Friction = Stanton Number/(0.5*Prandtl Number^(-2/3))

Static Enthalpy

Go Static Enthalpy = Enthalpy/Non Dimensional Static Enthalpy

Stanton Number for Incompressible Flow Formula

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, The Stanton number for incompressible flow formula is defined as the interrelation between the Reynolds number and the Prandtl number. 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?

The Stanton number for incompressible flow formula is defined as the interrelation between the Reynolds number and the Prandtl number 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 (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 & 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?

The Stanton number for incompressible flow formula is defined as the interrelation between the Reynolds number and the Prandtl number 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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