Static Density Calculation using Chapman-Rubesin Factor Calculator

✖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 [ρ]			+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 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 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 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 Calculation using Chapman-Rubesin Factor [ρ_e]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Aero Thermal Dynamics Formulas PDF PDF Image

Static Density Calculation using Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
Chapman–Rubesin factor: 0.75 --> No Conversion Required
Static Viscosity: 0.098043 Poise --> 0.0098043 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_e = (ρ*ν)/(C*μ_e) --> (997*0.000725)/(0.75*0.0098043)

Evaluating ... ...

ρ_e = 98.3004056043437

STEP 3: Convert Result to Output's Unit

98.3004056043437 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

98.3004056043437 ≈ 98.30041 Kilogram per Cubic Meter <-- Static Density

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Viscous Flow Fundamentals » Aero Thermal Dynamics » Static Density Calculation using Chapman-Rubesin Factor

Credits

Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 300+ more calculators!

< Aero Thermal Dynamics Calculators

Aerodynamic Heating to Surface

LaTeX Go Local Heat Transfer Rate = Static Density*Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)

Non Dimensional Internal Energy Parameter

LaTeX 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

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

Wall Temperature Calculation using Internal Energy Change

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

Static Density Calculation using Chapman-Rubesin Factor Formula

LaTeX Go

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

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 Static Density Calculation using Chapman-Rubesin Factor?

Static Density Calculation using Chapman-Rubesin Factor calculator uses Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity) to calculate the Static Density, Static Density Calculation using Chapman-Rubesin Factor formula is defined as a method to estimate the effective air density in a compressible fluid flow, which is essential in understanding the behavior of fluids in various engineering applications, particularly in the context of viscous flow fundamentals. Static Density is denoted by ρ_e symbol.

How to calculate Static Density Calculation using Chapman-Rubesin Factor using this online calculator? To use this online calculator for Static Density Calculation using Chapman-Rubesin Factor, enter Density (ρ), Kinematic Viscosity (ν), Chapman–Rubesin factor (C) & Static Viscosity (μ_e) and hit the calculate button. Here is how the Static Density Calculation using Chapman-Rubesin Factor calculation can be explained with given input values -> 0.860506 = (997*0.000725)/(0.75*0.0098043).

FAQ

What is Static Density Calculation using Chapman-Rubesin Factor?

Static Density Calculation using Chapman-Rubesin Factor formula is defined as a method to estimate the effective air density in a compressible fluid flow, which is essential in understanding the behavior of fluids in various engineering applications, particularly in the context of viscous flow fundamentals and is represented as ρ_e = (ρ*ν)/(C*μ_e) or Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity). 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, 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, The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions & 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.

How to calculate Static Density Calculation using Chapman-Rubesin Factor?

Static Density Calculation using Chapman-Rubesin Factor formula is defined as a method to estimate the effective air density in a compressible fluid flow, which is essential in understanding the behavior of fluids in various engineering applications, particularly in the context of viscous flow fundamentals is calculated using Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity). To calculate Static Density Calculation using Chapman-Rubesin Factor, you need Density (ρ), Kinematic Viscosity (ν), Chapman–Rubesin factor (C) & Static Viscosity (μ_e). With our tool, you need to enter the respective value for Density, Kinematic Viscosity, Chapman–Rubesin factor & Static Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search