Static Density 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%
✖Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure.ⓘ Local Skin-Friction Coefficient [C_f]			+10% -10%
✖Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.ⓘ Static Velocity [u_e]			+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 Equation using Skin Friction Coefficient [ρ_e]

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Formula

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Static Density Equation using Skin Friction Coefficient

Formula

`"ρ"_{"e"} = (2*"𝜏")/("C"_{"f"}*"u"_{"e"}^2)`

Example

`"1260.331kg/m³"=(2*"61Pa")/("0.00125"*("8.8m/s")^2)`

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Static Density Equation using Skin Friction Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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 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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_e = (2*𝜏)/(C_f*u_e^2) --> (2*61)/(0.00125*8.8^2)

Evaluating ... ...

ρ_e = 1260.3305785124

STEP 3: Convert Result to Output's Unit

1260.3305785124 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1260.3305785124 ≈ 1260.331 Kilogram per Cubic Meter <-- Static Density

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Boundary Layer Equations for Hypersonic Flow » Hypersonic Flow Parameters » Static Density Equation using Skin Friction Coefficient

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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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 Density Equation using Skin Friction Coefficient Formula

Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2)
ρ_e = (2*𝜏)/(C_f*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 Static Density Equation using Skin Friction Coefficient?

Static Density Equation using Skin Friction Coefficient calculator uses Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2) to calculate the Static Density, The static Density equation using skin friction coefficient formula is defined as the ratio of double the shear stress to the product of skin friction coefficient and the square of static velocity. Static Density is denoted by ρ_e symbol.

How to calculate Static Density Equation using Skin Friction Coefficient using this online calculator? To use this online calculator for Static Density Equation using Skin Friction Coefficient, enter Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Velocity (u_e) and hit the calculate button. Here is how the Static Density Equation using Skin Friction Coefficient calculation can be explained with given input values -> 1260.331 = (2*61)/(0.00125*8.8^2).

FAQ

What is Static Density Equation using Skin Friction Coefficient?

The static Density equation using skin friction coefficient formula is defined as the ratio of double the shear stress to the product of skin friction coefficient and the square of static velocity and is represented as ρ_e = (2*𝜏)/(C_f*u_e^2) or Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*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, Local Skin-Friction Coefficient specifies the fraction of the local dynamic pressure & Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.

How to calculate Static Density Equation using Skin Friction Coefficient?

The static Density equation using skin friction coefficient formula is defined as the ratio of double the shear stress to the product of skin friction coefficient and the square of static velocity is calculated using Static Density = (2*Shear Stress)/(Local Skin-Friction Coefficient*Static Velocity^2). To calculate Static Density Equation using Skin Friction Coefficient, you need Shear Stress (𝜏), Local Skin-Friction Coefficient (C_f) & Static Velocity (u_e). With our tool, you need to enter the respective value for Shear Stress, Local Skin-Friction Coefficient & 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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