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 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 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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Aero Thermal Dynamics Formulas PDF PDF Image

Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (ρ*ν)/(ρ_e*μ_e) --> (997*0.000725)/(98.3*0.0098043)

Evaluating ... ...

C = 0.750003094641483

STEP 3: Convert Result to Output's Unit

0.750003094641483 --> No Conversion Required

FINAL ANSWER

0.750003094641483 ≈ 0.750003 <-- Chapman–Rubesin factor

(Calculation completed in 00.008 seconds)

You are here -

Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Viscous Flow Fundamentals » Aero Thermal Dynamics » 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

Chapman-Rubesin Factor Formula

LaTeX Go

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

Chapman-Rubesin Factor calculator uses Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity) to calculate the Chapman–Rubesin factor, Chapman-Rubesin Factor formula is defined as a dimensionless quantity used to characterize the compressibility of a fluid in a pipe, providing a measure of the fluid's density and viscosity in relation to its elastic properties, which is essential in understanding the behavior of fluids in various engineering applications. Chapman–Rubesin factor is denoted by C symbol.

How to calculate Chapman-Rubesin Factor using this online calculator? To use this online calculator for Chapman-Rubesin Factor, enter Density (ρ), Kinematic Viscosity (ν), Static Density (ρ_e) & Static Viscosity (μ_e) and hit the calculate button. Here is how the Chapman-Rubesin Factor calculation can be explained with given input values -> 0.006565 = (997*0.000725)/(98.3*0.0098043).

FAQ

What is Chapman-Rubesin Factor?

Chapman-Rubesin Factor formula is defined as a dimensionless quantity used to characterize the compressibility of a fluid in a pipe, providing a measure of the fluid's density and viscosity in relation to its elastic properties, which is essential in understanding the behavior of fluids in various engineering applications and is represented as C = (ρ*ν)/(ρ_e*μ_e) or Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*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 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.

How to calculate Chapman-Rubesin Factor?

Chapman-Rubesin Factor formula is defined as a dimensionless quantity used to characterize the compressibility of a fluid in a pipe, providing a measure of the fluid's density and viscosity in relation to its elastic properties, which is essential in understanding the behavior of fluids in various engineering applications is calculated using Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity). To calculate Chapman-Rubesin Factor, you need Density (ρ), Kinematic Viscosity (ν), Static Density (ρ_e) & Static Viscosity (μ_e). With our tool, you need to enter the respective value for Density, Kinematic Viscosity, Static Density & 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