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)

Credits

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 Basic Aspects, Boundary Layer Results, and Aerodynamic Heating of Viscous Flow 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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