Density Calculation using Chapman-Rubesin Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity)
ρ = C*ρe*μe/(ν)
This formula uses 5 Variables
Variables Used
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.
Chapman–Rubesin factor - Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature.
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.
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.
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: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = C*ρe*μe/(ν) --> 0.75*98.3*1.12/(0.000725)
Evaluating ... ...
ρ = 113892.413793103
STEP 3: Convert Result to Output's Unit
113892.413793103 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
113892.413793103 113892.4 Kilogram per Cubic Meter <-- 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

Density Calculation using Chapman-Rubesin Factor Formula

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

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 Density Calculation using Chapman-Rubesin Factor?

Density Calculation using Chapman-Rubesin Factor calculator uses Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity) to calculate the Density, The Density calculation using Chapman-Rubesin factor formula is defined as the ratio of the product of Chapman rubesin factor, static density and viscosity, and kinematic viscosity. Density is denoted by ρ symbol.

How to calculate Density Calculation using Chapman-Rubesin Factor using this online calculator? To use this online calculator for Density Calculation using Chapman-Rubesin Factor, enter Chapman–Rubesin factor (C), Static Density e), Static Viscosity (μe) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Density Calculation using Chapman-Rubesin Factor calculation can be explained with given input values -> 113892.4 = 0.75*98.3*1.12/(0.000725).

FAQ

What is Density Calculation using Chapman-Rubesin Factor?
The Density calculation using Chapman-Rubesin factor formula is defined as the ratio of the product of Chapman rubesin factor, static density and viscosity, and kinematic viscosity and is represented as ρ = C*ρe*μe/(ν) or Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity). Chapman–Rubesin factor, Chapman and Rubesin assumed a linear relationship between the coefficient of dynamic viscosity and temperature, 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 & The Kinematic Viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.
How to calculate Density Calculation using Chapman-Rubesin Factor?
The Density calculation using Chapman-Rubesin factor formula is defined as the ratio of the product of Chapman rubesin factor, static density and viscosity, and kinematic viscosity is calculated using Density = Chapman–Rubesin factor*Static Density*Static Viscosity/(Kinematic Viscosity). To calculate Density Calculation using Chapman-Rubesin Factor, you need Chapman–Rubesin factor (C), Static Density e), Static Viscosity (μe) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for Chapman–Rubesin factor, Static Density, Static Viscosity & Kinematic 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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