Local Skin-Friction Coefficient Calculator

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [𝜏]			+10% -10%
✖Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.ⓘ Static Density [ρ_e]			+10% -10%
✖Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.ⓘ Static Velocity [u_e]			+10% -10%

✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]

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Formula

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Local Skin-Friction Coefficient

Formula

`"C"_{"f"} = (2*"𝜏")/("ρ"_{"e"}*"u"_{"e"}^2)`

Example

`"0.001313"=(2*"61Pa")/("1200kg/m³"*("8.8m/s")^2)`

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Download Boundary Layer Equations for Hypersonic Flow Formulas PDF

Local Skin-Friction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2)
C_f = (2*𝜏)/(ρ_e*u_e^2)
This formula uses 4 Variables

Variables Used

Local Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Static Density - (Measured in Kilogram per Cubic Meter) - Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.
Static Velocity - (Measured in Meter per Second) - Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 61 Pascal --> 61 Pascal No Conversion Required
Static Density: 1200 Kilogram per Cubic Meter --> 1200 Kilogram per Cubic Meter No Conversion Required
Static Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_f = (2*𝜏)/(ρ_e*u_e^2) --> (2*61)/(1200*8.8^2)

Evaluating ... ...

C_f = 0.00131284435261708

STEP 3: Convert Result to Output's Unit

0.00131284435261708 --> No Conversion Required

FINAL ANSWER

0.00131284435261708 ≈ 0.001313 <-- Local Skin-Friction Coefficient

(Calculation completed in 00.004 seconds)

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Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< 7 Hypersonic Flow Parameters Calculators

Static Velocity Equation using Skin Friction Coefficient

Go Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density))

Static Viscosity Relation using Temperature of Wall

Go Static Viscosity = Dynamic Viscosity/(Wall Temperature/Static Temperature)^(Constant n)

Dynamic Viscosity around Wall

Go Dynamic Viscosity = Static Viscosity*(Wall Temperature/Static Temperature)^(Constant n)

Static Density Equation using Skin Friction Coefficient

Go Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2)

Local Skin-Friction Coefficient

Go Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2)

Local Shear Stress at Wall

Go Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2

Skin Friction Coefficient for Incompressible Flow

Go Skin friction coefficient = 0.664/sqrt(Reynolds Number)

Local Skin-Friction Coefficient Formula

Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2)
C_f = (2*𝜏)/(ρ_e*u_e^2)

What is skin friction coefficient?

The skin friction coefficient is an important dimensionless parameter in boundary-layer flows. It specifies the fraction of the local dynamic pressure((0.5)* ρ* U^ 2 ) that is felt as shear stress on the surface

How to Calculate Local Skin-Friction Coefficient?

Local Skin-Friction Coefficient calculator uses Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2) to calculate the Local Skin-Friction Coefficient, Local Skin-Friction Coefficient is defined as the ratio of double the local shear stress to the product of static density and square of the static velocity. Local Skin-Friction Coefficient is denoted by C_f symbol.

How to calculate Local Skin-Friction Coefficient using this online calculator? To use this online calculator for Local Skin-Friction Coefficient, enter Shear Stress (𝜏), Static Density (ρ_e) & Static Velocity (u_e) and hit the calculate button. Here is how the Local Skin-Friction Coefficient calculation can be explained with given input values -> 0.001313 = (2*61)/(1200*8.8^2).

FAQ

What is Local Skin-Friction Coefficient?

Local Skin-Friction Coefficient is defined as the ratio of double the local shear stress to the product of static density and square of the static velocity and is represented as C_f = (2*𝜏)/(ρ_e*u_e^2) or Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid & Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.

How to calculate Local Skin-Friction Coefficient?

Local Skin-Friction Coefficient is defined as the ratio of double the local shear stress to the product of static density and square of the static velocity is calculated using Local Skin-Friction Coefficient = (2*Shear Stress)/(Static Density*Static Velocity^2). To calculate Local Skin-Friction Coefficient, you need Shear Stress (𝜏), Static Density (ρ_e) & Static Velocity (u_e). With our tool, you need to enter the respective value for Shear Stress, Static Density & Static Velocity 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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