Coefficient of Friction using Stanton Number for Flat Plate Case Calculator

✖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 [St]			+10% -10%
✖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 Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction using Stanton Number for Flat Plate Case [μ_friction]

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Formula

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Coefficient of Friction using Stanton Number for Flat Plate Case

Formula

μ friction = \frac{2 \cdot St}{{Pr}^{- \frac{2}{3}}}

Example

0.630699 = \frac{2 \cdot 0.4}{{0.7}^{- \frac{2}{3}}}

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Coefficient of Friction using Stanton Number for Flat Plate Case Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
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.

STEP 1: Convert Input(s) to Base Unit

Stanton Number: 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ_friction = (2*St)/(Pr^(-2/3)) --> (2*0.4)/(0.7^(-2/3))

Evaluating ... ...

μ_friction = 0.630698813048419

STEP 3: Convert Result to Output's Unit

0.630698813048419 --> No Conversion Required

FINAL ANSWER

0.630698813048419 ≈ 0.630699 <-- Coefficient of Friction

(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 » Coefficient of Friction using Stanton Number for Flat Plate Case

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Amrita School of Engineering (ASE), Vallikavu

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< Viscous Flow Calculators

Aerodynamic Heating Equation for Stanton number

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

Adiabatic Wall Enthalpy for Flat Plate

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

Adiabatic Wall Enthalpy using Recovery Factor

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

Coefficient of Friction using Stanton Number for Flat Plate Case

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

Coefficient of Friction using Stanton Number for Flat Plate Case Formula

Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))
μ_friction = (2*St)/(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 Coefficient of Friction using Stanton Number for Flat Plate Case?

Coefficient of Friction using Stanton Number for Flat Plate Case calculator uses Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)) to calculate the Coefficient of Friction, The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number. Coefficient of Friction is denoted by μ_friction symbol.

How to calculate Coefficient of Friction using Stanton Number for Flat Plate Case using this online calculator? To use this online calculator for Coefficient of Friction using Stanton Number for Flat Plate Case, enter Stanton Number (St) & Prandtl Number (Pr) and hit the calculate button. Here is how the Coefficient of Friction using Stanton Number for Flat Plate Case calculation can be explained with given input values -> 0.157675 = (2*0.4)/(0.7^(-2/3)).

FAQ

What is Coefficient of Friction using Stanton Number for Flat Plate Case?

The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number and is represented as μ_friction = (2*St)/(Pr^(-2/3)) or Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)). The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & 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 Coefficient of Friction using Stanton Number for Flat Plate Case?

The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number is calculated using Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)). To calculate Coefficient of Friction using Stanton Number for Flat Plate Case, you need Stanton Number (St) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Stanton Number & Prandtl Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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