Density Calculation using Chapman-Rubesin Factor Calculator

✖The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions.ⓘ Chapman–Rubesin factor [C]			+10% -10%
✖The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.ⓘ Static Density [ρ_e]			+10% -10%
✖The Static Viscosity is a measure of a fluid's resistance to flow under an applied stress, crucial for understanding fluid behavior in various mechanical and thermal applications.ⓘ Static Viscosity [μ_e]			+10% -10%
✖The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖The Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics.ⓘ Density Calculation using Chapman-Rubesin Factor [ρ]

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Density Calculation using Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity)
ρ = C*ρ_e*μ_e/(ν)
This formula uses 5 Variables

Variables Used

Density - (Measured in Kilogram per Cubic Meter) - The Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics.
Chapman–Rubesin factor - The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions.
Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics.
Static Viscosity - (Measured in Pascal Second) - The Static Viscosity is a measure of a fluid's resistance to flow under an applied stress, crucial for understanding fluid behavior in various mechanical and thermal applications.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence.

STEP 1: Convert Input(s) to Base Unit

Chapman–Rubesin factor: 0.75 --> No Conversion Required
Static Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required
Static Viscosity: 0.098043 Poise --> 0.0098043 Pascal Second (Check conversion here)
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = C*ρ_e*μ_e/(ν) --> 0.75*98.3*0.0098043/(0.000725)

Evaluating ... ...

ρ = 996.995886206897

STEP 3: Convert Result to Output's Unit

996.995886206897 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

996.995886206897 ≈ 996.9959 Kilogram per Cubic Meter <-- Density

(Calculation completed in 00.004 seconds)

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< Aero Thermal Dynamics Calculators

Aerodynamic Heating to Surface

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Non Dimensional Internal Energy Parameter

Go Non-Dimensional Internal Energy = Internal Energy/(Specific Heat Capacity at Constant Pressure*Temperature)

Non Dimensional Internal Energy Parameter using Wall-to-Freestream Temperature Ratio

Go Non-Dimensional Internal Energy = Wall Temperature/Free Stream Temperature

Wall Temperature Calculation using Internal Energy Change

Go Wall Temperature = Non-Dimensional Internal Energy*Free Stream Temperature

Density Calculation using Chapman-Rubesin Factor Formula

Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity)
ρ = C*ρ_e*μ_e/(ν)

What is Chapman–Rubesin factor?

In their analysis, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature, where the constant of proportionality (C) is chosen such that the correct value for viscosity near the surface is obtained.

How to Calculate Density Calculation using Chapman-Rubesin Factor?

Density Calculation using Chapman-Rubesin Factor calculator uses Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity) to calculate the Density, Density Calculation using Chapman-Rubesin Factor formula is a method to estimate the density of a gas in a viscous flow, taking into account the compressibility of the fluid and the effects of turbulence, providing a more accurate representation of the flow behavior in various engineering applications. Density is denoted by ρ symbol.

How to calculate Density Calculation using Chapman-Rubesin Factor using this online calculator? To use this online calculator for Density Calculation using Chapman-Rubesin Factor, enter Chapman–Rubesin factor (C), Static Density (ρ_e), Static Viscosity (μ_e) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Density Calculation using Chapman-Rubesin Factor calculation can be explained with given input values -> 113892.4 = 0.75*98.3*0.0098043/(0.000725).

FAQ

What is Density Calculation using Chapman-Rubesin Factor?

Density Calculation using Chapman-Rubesin Factor formula is a method to estimate the density of a gas in a viscous flow, taking into account the compressibility of the fluid and the effects of turbulence, providing a more accurate representation of the flow behavior in various engineering applications and is represented as ρ = C*ρ_e*μ_e/(ν) or Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity). The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions, The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various engineering applications, especially in hypersonic flow dynamics, The Static Viscosity is a measure of a fluid's resistance to flow under an applied stress, crucial for understanding fluid behavior in various mechanical and thermal applications & The Kinematic Viscosity is a measure of a fluid's resistance to flow under the influence of gravity, reflecting its internal friction and temperature dependence.

How to calculate Density Calculation using Chapman-Rubesin Factor?

Density Calculation using Chapman-Rubesin Factor formula is a method to estimate the density of a gas in a viscous flow, taking into account the compressibility of the fluid and the effects of turbulence, providing a more accurate representation of the flow behavior in various engineering applications is calculated using Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity). To calculate Density Calculation using Chapman-Rubesin Factor, you need Chapman–Rubesin factor (C), Static Density (ρ_e), Static Viscosity (μ_e) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Chapman–Rubesin factor, Static Density, Static Viscosity & Kinematic Viscosity 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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