Viscosity 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 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.ⓘ Viscosity Calculation using Chapman-Rubesin Factor [ν]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Aero Thermal Dynamics Formulas PDF PDF Image

Viscosity Calculation using Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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.
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.

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)
Density: 997 Kilogram per Cubic Meter --> 997 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ν = C*ρ_e*μ_e/(ρ) --> 0.75*98.3*0.0098043/(997)

Evaluating ... ...

ν = 0.000724997008525577

STEP 3: Convert Result to Output's Unit

0.000724997008525577 Square Meter per Second -->7.24997008525577 Stokes (Check conversion here)

FINAL ANSWER

7.24997008525577 ≈ 7.24997 Stokes <-- Kinematic Viscosity

(Calculation completed in 00.020 seconds)

You are here -

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

Viscosity Calculation using Chapman-Rubesin Factor Formula

LaTeX Go

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

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 Viscosity Calculation using Chapman-Rubesin Factor?

Viscosity Calculation using Chapman-Rubesin Factor calculator uses Kinematic Viscosity = Chapman–Rubesin factor*Static Density*Static Viscosity/(Density) to calculate the Kinematic Viscosity, Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the measure of its resistance to shear stress, and is an important property in the study of viscous flow fundamentals. Kinematic Viscosity is denoted by ν symbol.

How to calculate Viscosity Calculation using Chapman-Rubesin Factor using this online calculator? To use this online calculator for Viscosity Calculation using Chapman-Rubesin Factor, enter Chapman–Rubesin factor (C), Static Density (ρ_e), Static Viscosity (μ_e) & Density (ρ) and hit the calculate button. Here is how the Viscosity Calculation using Chapman-Rubesin Factor calculation can be explained with given input values -> 8.3E+6 = 0.75*98.3*0.0098043/(997).

FAQ

What is Viscosity Calculation using Chapman-Rubesin Factor?

Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the measure of its resistance to shear stress, and is an important property in the study of viscous flow fundamentals and is represented as ν = C*ρ_e*μ_e/(ρ) or Kinematic Viscosity = Chapman–Rubesin factor*Static Density*Static Viscosity/(Density). 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 Density is the mass per unit volume of a substance, which influences fluid behavior and thermal properties in hypersonic flow and aero thermal dynamics.

How to calculate Viscosity Calculation using Chapman-Rubesin Factor?

Viscosity Calculation using Chapman-Rubesin Factor formula is a measure of the dynamic viscosity of a fluid, which is the measure of its resistance to shear stress, and is an important property in the study of viscous flow fundamentals is calculated using Kinematic Viscosity = Chapman–Rubesin factor*Static Density*Static Viscosity/(Density). To calculate Viscosity Calculation using Chapman-Rubesin Factor, you need Chapman–Rubesin factor (C), Static Density (ρ_e), Static Viscosity (μ_e) & Density (ρ). With our tool, you need to enter the respective value for Chapman–Rubesin factor, Static Density, Static Viscosity & Density 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