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))
ue = sqrt((2*𝜏)/(Cf*ρe))
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) - Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous 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.
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.
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
ue = sqrt((2*𝜏)/(Cfe)) --> sqrt((2*61)/(0.00125*1200))
Evaluating ... ...
ue = 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 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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)

Static Velocity Equation using Skin Friction Coefficient Formula

Static Velocity = sqrt((2*Shear Stress)/(Local Skin-Friction Coefficient*Static Density))
ue = sqrt((2*𝜏)/(Cf*ρe))

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, The Static velocity equation using skin friction coefficient formula is defined as the square root of ratio of double the shear stress to the product of skin friction coefficient and square of static density. Static Velocity is denoted by ue 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 (Cf) & Static Density 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?
The Static velocity equation using skin friction coefficient formula is defined as the square root of ratio of double the shear stress to the product of skin friction coefficient and square of static density and is represented as ue = sqrt((2*𝜏)/(Cfe)) 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, 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.
How to calculate Static Velocity Equation using Skin Friction Coefficient?
The Static velocity equation using skin friction coefficient formula is defined as the square root of ratio of double the shear stress to the product of skin friction coefficient and square of static density 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 (Cf) & Static Density 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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