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Chapman-Rubesin Factor Formula

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The Chapman–Rubesin factor is a dimensionless quantity used in fluid mechanics to characterize the effects of viscosity in hypersonic flow conditions. Check FAQs

C = \frac{ρ \cdot ν}{ρ e \cdot μ e}

C - Chapman–Rubesin factor?ρ - Density?ν - Kinematic Viscosity?ρ_e - Static Density?μ_e - Static Viscosity?

Chapman-Rubesin Factor Example

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Here is how the Chapman-Rubesin Factor equation looks like with Values.

Here is how the Chapman-Rubesin Factor equation looks like with Units.

Here is how the Chapman-Rubesin Factor equation looks like.

0.75 = \frac{997 \cdot 7.25}{98.3 \cdot 0.098}

0.75 = \frac{997kg/m³ \cdot 7.25St}{98.3kg/m³ \cdot 0.098P}

0.75 = \frac{997 \cdot 7.25}{98.3 \cdot 0.098}

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Chapman-Rubesin Factor Solution

Follow our step by step solution on how to calculate Chapman-Rubesin Factor?

FIRST Step Consider the formula

C = \frac{ρ \cdot ν}{ρ e \cdot μ e}

Next Step Substitute values of Variables

∴

C = \frac{997kg/m³ \cdot 7.25St}{98.3kg/m³ \cdot 0.098P}

Next Step Convert Units

∴

C = \frac{997kg/m³ \cdot 0.0007m²/s}{98.3kg/m³ \cdot 0.0098Pa*s}

Next Step Prepare to Evaluate

∴

C = \frac{997 \cdot 0.0007}{98.3 \cdot 0.0098}

Next Step Evaluate

∴

C = 0.750003094641483

LAST Step Rounding Answer

∴

C = 0.75

Chapman-Rubesin Factor Formula Elements

Variables

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chapman–Rubesin factor

Density

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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Kinematic Viscosity

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.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

Static Density

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.

Symbol: ρ_e

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Static Density

Static Viscosity

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.

Symbol: μ_e

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Static Viscosity

Other formulas in Aero Thermal Dynamics category

Go Non Dimensional Internal Energy Parameter

e' = \frac{U}{C p \cdot T}

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

e' = \frac{Tw}{T ∞}

Go Wall Temperature Calculation using Internal Energy Change

Tw = e' \cdot T ∞

Go Aerodynamic Heating to Surface

q w = ρ e \cdot u e \cdot St \cdot (h aw - h w)

How to Evaluate Chapman-Rubesin Factor?

Chapman-Rubesin Factor evaluator uses Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity) to evaluate 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 evaluate Chapman-Rubesin Factor using this online evaluator? To use this online evaluator for Chapman-Rubesin Factor, enter Density (ρ), Kinematic Viscosity (ν), Static Density (ρ_e) & Static Viscosity (μ_e) and hit the calculate button.

FAQs on Chapman-Rubesin Factor

What is the formula to find Chapman-Rubesin Factor?

The formula of Chapman-Rubesin Factor is expressed as Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity). Here is an example- 0.006565 = (997*0.000725)/(98.3*0.0098043).

How to calculate Chapman-Rubesin Factor?

With Density (ρ), Kinematic Viscosity (ν), Static Density (ρ_e) & Static Viscosity (μ_e) we can find Chapman-Rubesin Factor using the formula - Chapman–Rubesin factor = (Density*Kinematic Viscosity)/(Static Density*Static Viscosity).

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Chapman-Rubesin Factor Formula

Chapman-Rubesin Factor Example

Chapman-Rubesin Factor Solution

Chapman-Rubesin Factor Formula Elements

Other formulas in Aero Thermal Dynamics category

How to Evaluate Chapman-Rubesin Factor?

FAQs on Chapman-Rubesin Factor

Variable Name