Stanton Number with Coefficient of Friction Calculator

✖The Coefficient of Friction is a measure of the resistance to motion between two surfaces in contact, influencing fluid flow and drag in hypersonic applications.ⓘ Coefficient of Friction [μ_friction]			+10% -10%
✖The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow.ⓘ Prandtl Number [Pr]			+10% -10%

✖The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios.ⓘ Stanton Number with Coefficient of Friction [St]

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Stanton Number with Coefficient of Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3)
St = 0.5*μ_friction*Pr^(-2/3)
This formula uses 3 Variables

Variables Used

Stanton Number - The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios.
Coefficient of Friction - The Coefficient of Friction is a measure of the resistance to motion between two surfaces in contact, influencing fluid flow and drag in hypersonic applications.
Prandtl Number - The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction: 2.300417 --> No Conversion Required
Prandtl Number: 7.29 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

St = 0.5*μ_friction*Pr^(-2/3) --> 0.5*2.300417*7.29^(-2/3)

Evaluating ... ...

St = 0.305931986811054

STEP 3: Convert Result to Output's Unit

0.305931986811054 --> No Conversion Required

FINAL ANSWER

0.305931986811054 ≈ 0.305932 <-- Stanton Number

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Viscous Flow » Stanton Number with Coefficient of Friction

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

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Aerodynamic Heating Equation for Stanton number

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

Adiabatic Wall Enthalpy for Flat Plate

LaTeX Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Total Specific Enthalpy-Static Enthalpy)

Adiabatic Wall Enthalpy using Recovery Factor

LaTeX Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Static Velocity^2)/2

Coefficient of Friction using Stanton Number for Flat Plate Case

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

Stanton Number with Coefficient of Friction Formula

LaTeX Go

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

What is Prandtl number?

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity.

How to Calculate Stanton Number with Coefficient of Friction?

Stanton Number with Coefficient of Friction calculator uses Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3) to calculate the Stanton Number, Stanton Number with Coefficient of Friction formula is defined as a dimensionless quantity used to characterize the heat transfer between a fluid and a solid surface, particularly in the context of viscous flow over a flat plate, where the coefficient of friction plays a crucial role in determining the heat transfer rate. Stanton Number is denoted by St symbol.

How to calculate Stanton Number with Coefficient of Friction using this online calculator? To use this online calculator for Stanton Number with Coefficient of Friction, enter Coefficient of Friction (μ_friction) & Prandtl Number (Pr) and hit the calculate button. Here is how the Stanton Number with Coefficient of Friction calculation can be explained with given input values -> 0.037211 = 0.5*2.300417*7.29^(-2/3).

FAQ

What is Stanton Number with Coefficient of Friction?

Stanton Number with Coefficient of Friction formula is defined as a dimensionless quantity used to characterize the heat transfer between a fluid and a solid surface, particularly in the context of viscous flow over a flat plate, where the coefficient of friction plays a crucial role in determining the heat transfer rate and is represented as St = 0.5*μ_friction*Pr^(-2/3) or Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3). The Coefficient of Friction is a measure of the resistance to motion between two surfaces in contact, influencing fluid flow and drag in hypersonic applications & The Prandtl Number is a dimensionless quantity that relates the rate of momentum diffusion to the rate of thermal diffusion in fluid flow.

How to calculate Stanton Number with Coefficient of Friction?

Stanton Number with Coefficient of Friction formula is defined as a dimensionless quantity used to characterize the heat transfer between a fluid and a solid surface, particularly in the context of viscous flow over a flat plate, where the coefficient of friction plays a crucial role in determining the heat transfer rate is calculated using Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3). To calculate Stanton Number with Coefficient of Friction, you need Coefficient of Friction (μ_friction) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Coefficient of Friction & 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 Coefficient of Friction & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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