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%
✖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 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%

✖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 Equation using Skin Friction Coefficient [ρ_e]

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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) - The Static Density is the density of air at a given altitude and temperature, used to model the boundary layer in hypersonic flow conditions.
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 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

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 00.020 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

Static Density Equation using Skin Friction Coefficient Formula

LaTeX Go

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, Static Density Equation using Skin Friction Coefficient formula is a measure of the effective air density at the edge of the boundary layer in hypersonic flow, which is essential in understanding the behavior of fluids at high speeds and temperatures. It plays a crucial role in the design and optimization of hypersonic vehicles and re-entry systems. 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?

Static Density Equation using Skin Friction Coefficient formula is a measure of the effective air density at the edge of the boundary layer in hypersonic flow, which is essential in understanding the behavior of fluids at high speeds and temperatures. It plays a crucial role in the design and optimization of hypersonic vehicles and re-entry systems 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, 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 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 Static Density Equation using Skin Friction Coefficient?

Static Density Equation using Skin Friction Coefficient formula is a measure of the effective air density at the edge of the boundary layer in hypersonic flow, which is essential in understanding the behavior of fluids at high speeds and temperatures. It plays a crucial role in the design and optimization of hypersonic vehicles and re-entry systems 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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