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)
ρe = (ρ*ν)/(C*μe)
This formula uses 5 Variables
Variables Used
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.
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.
Chapman–Rubesin factor - Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature.
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)
Chapman–Rubesin factor: 0.75 --> No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρe = (ρ*ν)/(C*μe) --> (997*0.000725)/(0.75*1.12)
Evaluating ... ...
ρe = 0.860505952380952
STEP 3: Convert Result to Output's Unit
0.860505952380952 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
0.860505952380952 0.860506 Kilogram per Cubic Meter <-- Static Density
(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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16 Basic Aspects, Boundary Layer Results, and Aerodynamic Heating of Viscous Flow 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

Static Density Calculation using Chapman-Rubesin Factor Formula

Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*Static Viscosity)
ρe = (ρ*ν)/(C*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 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, The Static Density calculation using Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of Chapman–Rubesin factor and static viscosity. Static Density is denoted by ρe 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 (μe) 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*1.12).

FAQ

What is Static Density Calculation using Chapman-Rubesin Factor?
The Static Density calculation using Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of Chapman–Rubesin factor and static viscosity and is represented as ρe = (ρ*ν)/(C*μe) or Static Density = (Density*Kinematic Viscosity)/(Chapman–Rubesin factor*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, Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature & 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 Static Density Calculation using Chapman-Rubesin Factor?
The Static Density calculation using Chapman-Rubesin factor formula is defined as the ratio of product of density and viscosity to product of Chapman–Rubesin factor and static viscosity 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 (μe). 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.
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