Local Shear Stress at Wall Calculator

✖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]			+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%

✖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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Local Shear Stress at Wall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2
𝜏 = 0.5*C_f*ρ_e*u_e^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 - The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow.
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

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 Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = 0.5*C_f*ρ_e*u_e^2 --> 0.5*0.00125*1200*8.8^2

Evaluating ... ...

𝜏 = 58.08

STEP 3: Convert Result to Output's Unit

58.08 Pascal --> No Conversion Required

FINAL ANSWER

58.08 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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 Shear Stress at Wall Formula

LaTeX Go

Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2
𝜏 = 0.5*C_f*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 *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 Velocity^2 to calculate the Shear Stress, Local Shear Stress at Wall formula is defined as a measure of the frictional force per unit area exerted by a fluid on the surface of an object, typically in the context of hypersonic flow, where it plays a crucial role in understanding the behavior of boundary layers. 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 Velocity (u_e) and hit the calculate button. Here is how the Local Shear Stress at Wall calculation can be explained with given input values -> 58.08 = 0.5*0.00125*1200*8.8^2.

FAQ

What is Local Shear Stress at Wall?

Local Shear Stress at Wall formula is defined as a measure of the frictional force per unit area exerted by a fluid on the surface of an object, typically in the context of hypersonic flow, where it plays a crucial role in understanding the behavior of boundary layers and is represented as 𝜏 = 0.5*C_f*ρ_e*u_e^2 or Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2. The Local Skin-Friction Coefficient is a dimensionless quantity that characterizes the frictional force exerted by the fluid on the surface in hypersonic flow, 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 Shear Stress at Wall?

Local Shear Stress at Wall formula is defined as a measure of the frictional force per unit area exerted by a fluid on the surface of an object, typically in the context of hypersonic flow, where it plays a crucial role in understanding the behavior of boundary layers is calculated using Shear Stress = 0.5*Local Skin-Friction Coefficient*Static Density*Static Velocity^2. To calculate Local Shear Stress at Wall, you need Local Skin-Friction Coefficient (C_f), Static Density (ρ_e) & Static Velocity (u_e). With our tool, you need to enter the respective value for Local Skin-Friction Coefficient, 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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