Coefficient of friction given Stanton number 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 given Stanton number [μ_friction]

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Formula

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Coefficient of friction given Stanton number

Formula

`"μ"_{"friction"} = 2*"St"*("Pr"^(2/3))`

Example

`"0.630699"=2*"0.4"*(("0.7")^(2/3))`

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Coefficient of friction given Stanton number 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 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » External flow » Flow over Flat Plate » Laminar Flow » Coefficient of friction given Stanton number

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< 15 Laminar Flow Calculators

Average temperature difference between plate and fluid

Go Average Temperature Difference = ((Heat Flux*Distance L/Thermal Conductivity))/(0.679*(Reynolds Number at Location L^0.5)*(Prandtl Number^0.333))

Free stream velocity given local friction coefficient

Go Free Stream Velocity = sqrt((2*Wall Shear Stress)/(Density*Local Friction Coefficient))

Density given local friction coefficient

Go Density = 2*Wall Shear Stress/(Local Friction Coefficient*(Free Stream Velocity^2))

Wall shear stress

Go Wall Shear Stress = (Local Friction Coefficient*Density*(Free Stream Velocity^2))/2

Local friction coefficient for external flow

Go Local Friction Coefficient = 2*Wall Shear Stress/(Density*Free Stream Velocity^2)

Hydrodynamic boundary layer thickness at distance X from leading edge

Go Hydrodynamic Boundary Layer Thickness = 5*Distance from Point to YY Axis*Reynolds Number(x)^(-0.5)

Thermal boundary layer thickness at distance X from leading edge

Go Thermal Boundary Layer Thickness = Hydrodynamic Boundary Layer Thickness*Prandtl Number^(-0.333)

Film temperature

Go Film temperature = (Plate Surface Temperature+Free Stream Fluid Temperature)/2

Free stream fluid temperature

Go Free Stream Fluid Temperature = 2*Film temperature-Plate Surface Temperature

Plate surface temperature

Go Plate Surface Temperature = 2*Film temperature-Free Stream Fluid Temperature

Coefficient of friction given Stanton number

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

Displacement thickness

Go Displacement Thickness = Hydrodynamic Boundary Layer Thickness/3

Average friction coefficient

Go Average Friction Coefficient = 1.328*Reynolds Number(x)^(-0.5)

Local Friction Coefficient given Reynolds Number

Go Local Friction Coefficient = 0.664*Reynolds Number(x)^(-0.5)

Momentum thickness

Go Momentum Thickness = Hydrodynamic Boundary Layer Thickness/7

Coefficient of friction given Stanton number Formula

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

What is external flow

In fluid mechanics, external flow is such a flow that boundary layers develop freely, without constraints imposed by adjacent surfaces. Accordingly, there will always exist a region of the flow outside the boundary layer in which velocity, temperature, and/or concentration gradients are negligible. It can be defined as the flow of a fluid around a body that is completely submerged in it.

An example includes fluid motion over a flat plate (inclined or parallel to the free stream velocity) and flow over curved surfaces such as a sphere, cylinder, airfoil, or turbine blade, air flowing around an airplane and water flowing around the submarines.

How to Calculate Coefficient of friction given Stanton number?

Coefficient of friction given Stanton number calculator uses Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3)) to calculate the Coefficient of Friction, The Coefficient of friction given Stanton number formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. Coefficient of Friction is denoted by μ_friction symbol.

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

FAQ

What is Coefficient of friction given Stanton number?

The Coefficient of friction given Stanton number formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together 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 given Stanton number?

The Coefficient of friction given Stanton number formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together is calculated using Coefficient of Friction = 2*Stanton Number*(Prandtl Number^(2/3)). To calculate Coefficient of friction given Stanton number, 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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