Chapman-Rubesin Factor Calculator

✖The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [ν]			+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 [ρ_e]			+10% -10%
✖Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.ⓘ Static Viscosity [μe]			+10% -10%

✖Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature.ⓘ Chapman-Rubesin Factor [C]

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Formula

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Chapman-Rubesin Factor

Formula

`"C" = ("ρ"*"ν")/("ρ"_{"e"}*"μe")`

Example

`"0.006565"=("997kg/m³"*"7.25St")/("98.3kg/m³"*"11.2P")`

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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*μe)
This formula uses 5 Variables

Variables Used

Chapman–Rubesin factor - Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Kinematic Viscosity - (Measured in Square Meter per Second) - The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
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.
Static Viscosity - (Measured in Pascal Second) - Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

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: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (ρ*ν)/(ρ_e*μe) --> (997*0.000725)/(98.3*1.12)

Evaluating ... ...

C = 0.0065654065542799

STEP 3: Convert Result to Output's Unit

0.0065654065542799 --> No Conversion Required

FINAL ANSWER

0.0065654065542799 ≈ 0.006565 <-- Chapman–Rubesin factor

(Calculation completed in 00.020 seconds)

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

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 16 Aero-Thermal Dynamics Calculators

Aerodynamic Heating to Surface

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

Static Viscosity Calculation using Chapman-Rubesin Factor

Go Static Viscosity = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Density)

Static Density Calculation using Chapman-Rubesin Factor

Go Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity)

Chapman-Rubesin Factor

Go Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity)

Viscosity Calculation using Chapman-Rubesin Factor

Go Kinematic Viscosity = Chapman–Rubesin factor*Static Density*Static Viscosity/(Density)

Density Calculation using Chapman-Rubesin Factor

Go Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity)

Thermal Conductivity using Prandtl Number

Go Thermal Conductivity = (Dynamic Viscosity*Specific Heat Capacity at Constant Pressure)/Prandtl Number

Non Dimensional Internal Energy Parameter

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

Stanton Number for Incompressible Flow

Go Stanton Number = 0.332*(Prandtl Number^(-2/3))/sqrt(Reynolds Number)

Wall Temperature Calculation using Internal Energy Change

Go Temperature of wall in Kelvin = Non-Dimensional Internal Energy*Free Stream Temperature

Stanton Equation using Overall Skin Friction Coefficient for Incompressible Flow

Go Stanton Number = Overall Skin-friction Drag Coefficient*0.5*Prandtl Number^(-2/3)

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

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

Internal Energy for Hypersonic Flow

Go Internal Energy = Enthalpy+Pressure/Density

Non Dimensional Static Enthalpy

Go Non Dimensional Static Enthalpy = Stagnation Enthalpy/Static Enthalpy

Coefficient of Friction using Stanton Equation for Incompressible Flow

Go Coefficient of Friction = Stanton Number/(0.5*Prandtl Number^(-2/3))

Static Enthalpy

Go Static Enthalpy = Enthalpy/Non Dimensional Static Enthalpy

Chapman-Rubesin Factor Formula

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

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, The Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of static density and viscosity. 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 (μe) 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*1.12).

FAQ

What is Chapman-Rubesin Factor?

The Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of static density and viscosity and is represented as C = (ρ*ν)/(ρ_e*μe) or Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity). The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object, The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid, 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 viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.

How to calculate Chapman-Rubesin Factor?

The Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of static density and viscosity 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 (μe). 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.

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