Static Velocity Equation using 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 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 Equation using Skin Friction Coefficient [u_e]

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Static Velocity Equation using Skin Friction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density))
u_e = sqrt((2*𝜏)/(C_f*ρ_e))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 61 Pascal --> 61 Pascal No Conversion Required
Local Skin-Friction Coefficient: 0.00125 --> No Conversion Required
Static Density: 1200 Kilogram per Cubic Meter --> 1200 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_e = sqrt((2*𝜏)/(C_f*ρ_e)) --> sqrt((2*61)/(0.00125*1200))

Evaluating ... ...

u_e = 9.01849950564579

STEP 3: Convert Result to Output's Unit

9.01849950564579 Meter per Second --> No Conversion Required

FINAL ANSWER

9.01849950564579 ≈ 9.0185 Meter per Second <-- Static Velocity

(Calculation completed in 00.020 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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

Static Velocity Equation using Skin Friction Coefficient Formula

LaTeX Go

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

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 Static Velocity Equation using Skin Friction Coefficient?

Static Velocity Equation using Skin Friction Coefficient calculator uses Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)) to calculate the Static Velocity, Static Velocity Equation using Skin Friction Coefficient formula is a measure of the velocity at the edge of the boundary layer in a hypersonic flow, which is affected by the skin friction coefficient and density of the fluid, providing a crucial parameter in understanding the flow behavior. Static Velocity is denoted by u_e symbol.

How to calculate Static Velocity Equation using Skin Friction Coefficient using this online calculator? To use this online calculator for Static Velocity Equation using Skin Friction Coefficient, enter Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Density (ρ_e) and hit the calculate button. Here is how the Static Velocity Equation using Skin Friction Coefficient calculation can be explained with given input values -> 9.0185 = sqrt((2*61)/(0.00125*1200)).

FAQ

What is Static Velocity Equation using Skin Friction Coefficient?

Static Velocity Equation using Skin Friction Coefficient formula is a measure of the velocity at the edge of the boundary layer in a hypersonic flow, which is affected by the skin friction coefficient and density of the fluid, providing a crucial parameter in understanding the flow behavior and is represented as u_e = sqrt((2*𝜏)/(C_f*ρ_e)) or Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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.

How to calculate Static Velocity Equation using Skin Friction Coefficient?

Static Velocity Equation using Skin Friction Coefficient formula is a measure of the velocity at the edge of the boundary layer in a hypersonic flow, which is affected by the skin friction coefficient and density of the fluid, providing a crucial parameter in understanding the flow behavior is calculated using Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density)). To calculate Static Velocity Equation using Skin Friction Coefficient, you need Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Density (ρ_e). With our tool, you need to enter the respective value for Shear Stress, Local Skin-Friction Coefficient & Static Density 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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