Local Shear Stress at Wall Calculator

✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]			+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 viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.ⓘ Static Viscosity [μe]			+10% -10%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Local Shear Stress at Wall [𝜏]

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Formula

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Local Shear Stress at Wall

Formula

`"𝜏" = 0.5*"C"_{"f"}*"ρ"_{"e"}*"μe"^2`

Example

`"0.9408Pa"=0.5*"0.00125"*"1200kg/m³"*("11.2P")^2`

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Download Boundary Layer Equations for Hypersonic Flow Formulas PDF

Local Shear Stress at Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2
𝜏 = 0.5*C_f*ρ_e*μe^2
This formula uses 4 Variables

Variables Used

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.
Local Skin-Friction Coefficient - Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.
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 Viscosity - (Measured in Pascal Second) - Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

STEP 1: Convert Input(s) to Base Unit

Local Skin-Friction Coefficient: 0.00125 --> No Conversion Required
Static Density: 1200 Kilogram per Cubic Meter --> 1200 Kilogram per Cubic Meter No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = 0.5*C_f*ρ_e*μe^2 --> 0.5*0.00125*1200*1.12^2

Evaluating ... ...

𝜏 = 0.9408

STEP 3: Convert Result to Output's Unit

0.9408 Pascal --> No Conversion Required

FINAL ANSWER

0.9408 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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 Shear Stress at Wall Formula

Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2
𝜏 = 0.5*C_f*ρ_e*μe^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 *μ ^2, that is felt as shear stress on the surface.

How to Calculate Local Shear Stress at Wall?

Local Shear Stress at Wall calculator uses Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2 to calculate the Shear Stress, Local Shear Stress at Wall is defined as the product of half of the local skin friction coefficient, static density, and square of static velocity. Shear Stress is denoted by 𝜏 symbol.

How to calculate Local Shear Stress at Wall using this online calculator? To use this online calculator for Local Shear Stress at Wall, enter Local Skin-Friction Coefficient (C_f), Static Density (ρ_e) & Static Viscosity (μe) and hit the calculate button. Here is how the Local Shear Stress at Wall calculation can be explained with given input values -> 0.9408 = 0.5*0.00125*1200*1.12^2.

FAQ

What is Local Shear Stress at Wall?

Local Shear Stress at Wall is defined as the product of half of the local skin friction coefficient, static density, and square of static velocity and is represented as 𝜏 = 0.5*C_f*ρ_e*μe^2 or Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2. Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure, 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 viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

How to calculate Local Shear Stress at Wall?

Local Shear Stress at Wall is defined as the product of half of the local skin friction coefficient, static density, and square of static velocity is calculated using Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Viscosity^2. To calculate Local Shear Stress at Wall, you need Local Skin-Friction Coefficient (C_f), Static Density (ρ_e) & Static Viscosity (μe). With our tool, you need to enter the respective value for Local Skin-Friction Coefficient, Static Density & Static Viscosity 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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