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%
✖The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.ⓘ Static Density [ρ_e]			+10% -10%
✖The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.ⓘ Static Velocity [u_e]			+10% -10%

✖The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow.ⓘ Local Skin-Friction Coefficient [C_f]

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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 - The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow.
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) - The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

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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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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

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< Hypersonic Flow Parameters Calculators

Static Velocity Equation using Skin Friction Coefficient

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

Static Density Equation using Skin Friction Coefficient

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

Local Skin-Friction Coefficient

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

Local Shear Stress at Wall

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

Local Skin-Friction Coefficient Formula

LaTeX Go

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 formula is defined as a dimensionless quantity that characterizes the frictional force exerted by a fluid on a surface, specifically in the context of boundary layer equations for hypersonic flow, providing a crucial parameter for understanding and predicting fluid dynamics in high-speed flow regimes. 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 formula is defined as a dimensionless quantity that characterizes the frictional force exerted by a fluid on a surface, specifically in the context of boundary layer equations for hypersonic flow, providing a crucial parameter for understanding and predicting fluid dynamics in high-speed flow regimes 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, The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions & The Static Velocity is the velocity of the fluid in the boundary layer at a given point, describing the flow characteristics near the surface.

How to calculate Local Skin-Friction Coefficient?

Local Skin-Friction Coefficient formula is defined as a dimensionless quantity that characterizes the frictional force exerted by a fluid on a surface, specifically in the context of boundary layer equations for hypersonic flow, providing a crucial parameter for understanding and predicting fluid dynamics in high-speed flow regimes 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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