Coefficient of Friction using Stanton Equation for Incompressible Flow 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 Equation for Incompressible Flow [μ]

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Formula

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Coefficient of Friction using Stanton Equation for Incompressible Flow

Formula

`"μ" = "St"/(0.5*"Pr"^(-2/3))`

Example

`"0.315349"="0.2"/(0.5*("0.7")^(-2/3))`

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Coefficient of Friction using Stanton Equation for Incompressible Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Friction = Stanton Number/(0.5*Prandtl Number^(-2/3))
μ = St/(0.5*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: 0.2 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = St/(0.5*Pr^(-2/3)) --> 0.2/(0.5*0.7^(-2/3))

Evaluating ... ...

μ = 0.31534940652421

STEP 3: Convert Result to Output's Unit

0.31534940652421 --> No Conversion Required

FINAL ANSWER

0.31534940652421 ≈ 0.315349 <-- Coefficient of Friction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Viscous Flow Fundamentals » Aero-Thermal Dynamics » Coefficient of Friction using Stanton Equation for Incompressible Flow

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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

Coefficient of Friction using Stanton Equation for Incompressible Flow Formula

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

What is Stanton number?

The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

How to Calculate Coefficient of Friction using Stanton Equation for Incompressible Flow?

Coefficient of Friction using Stanton Equation for Incompressible Flow calculator uses Coefficient of Friction = Stanton Number/(0.5*Prandtl Number^(-2/3)) to calculate the Coefficient of Friction, The Coefficient of friction using Stanton equation for incompressible flow formula is defined as the ratio of Stanton number to the Prandtl number raise power of -2/3. Coefficient of Friction is denoted by μ symbol.

How to calculate Coefficient of Friction using Stanton Equation for Incompressible Flow using this online calculator? To use this online calculator for Coefficient of Friction using Stanton Equation for Incompressible Flow, enter Stanton Number (St) & Prandtl Number (Pr) and hit the calculate button. Here is how the Coefficient of Friction using Stanton Equation for Incompressible Flow calculation can be explained with given input values -> 1.892096 = 0.2/(0.5*0.7^(-2/3)).

FAQ

What is Coefficient of Friction using Stanton Equation for Incompressible Flow?

The Coefficient of friction using Stanton equation for incompressible flow formula is defined as the ratio of Stanton number to the Prandtl number raise power of -2/3 and is represented as μ = St/(0.5*Pr^(-2/3)) or Coefficient of Friction = Stanton Number/(0.5*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 Equation for Incompressible Flow?

The Coefficient of friction using Stanton equation for incompressible flow formula is defined as the ratio of Stanton number to the Prandtl number raise power of -2/3 is calculated using Coefficient of Friction = Stanton Number/(0.5*Prandtl Number^(-2/3)). To calculate Coefficient of Friction using Stanton Equation for Incompressible Flow, 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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