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Condensation Number Formula

GoCondensation Number for Vertical Plate Formula

GoCondensation Number for Horizontal Cylinder Formula

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Condensation Number is defined as the dimensionless number which helps us to resolve equation in terms of film Reynolds number, which is important in determining condensation behavior. Check FAQs

Co = (h ̅) \cdot ({(\frac{{(μ f)}^{2}}{(k^{3}) \cdot (ρ f) \cdot (ρ f - ρ v) \cdot [g]})}^{\frac{1}{3}})

Co - Condensation Number?h ̅ - Average Heat Transfer Coefficient?μ_f - Viscosity of Film?k - Thermal Conductivity?ρ_f - Density of Liquid Film?ρ_v - Density of Vapor?[g] - Gravitational acceleration on Earth?

Condensation Number Example

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Here is how the Condensation Number equation looks like with Values.

Here is how the Condensation Number equation looks like with Units.

Here is how the Condensation Number equation looks like.

0.0238 = (115) \cdot ({(\frac{{(0.029)}^{2}}{({10.18}^{3}) \cdot (96) \cdot (96 - 0.5) \cdot 9.8066})}^{\frac{1}{3}})

0.0238 = (115W/m²*K) \cdot ({(\frac{{(0.029N*s/m²)}^{2}}{({10.18W/(m*K)}^{3}) \cdot (96kg/m³) \cdot (96kg/m³ - 0.5kg/m³) \cdot 9.8066m/s²})}^{\frac{1}{3}})

0.0238 = (115) \cdot ({(\frac{{(0.029)}^{2}}{({10.18}^{3}) \cdot (96) \cdot (96 - 0.5) \cdot 9.8066})}^{\frac{1}{3}})

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Condensation Number Solution

Follow our step by step solution on how to calculate Condensation Number?

FIRST Step Consider the formula

Co = (h ̅) \cdot ({(\frac{{(μ f)}^{2}}{(k^{3}) \cdot (ρ f) \cdot (ρ f - ρ v) \cdot [g]})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

Co = (115W/m²*K) \cdot ({(\frac{{(0.029N*s/m²)}^{2}}{({10.18W/(m*K)}^{3}) \cdot (96kg/m³) \cdot (96kg/m³ - 0.5kg/m³) \cdot [g]})}^{\frac{1}{3}})

Next Step Substitute values of Constants

∴

Co = (115W/m²*K) \cdot ({(\frac{{(0.029N*s/m²)}^{2}}{({10.18W/(m*K)}^{3}) \cdot (96kg/m³) \cdot (96kg/m³ - 0.5kg/m³) \cdot 9.8066m/s²})}^{\frac{1}{3}})

Next Step Convert Units

∴

Co = (115W/m²*K) \cdot ({(\frac{{(0.029Pa*s)}^{2}}{({10.18W/(m*K)}^{3}) \cdot (96kg/m³) \cdot (96kg/m³ - 0.5kg/m³) \cdot 9.8066m/s²})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

Co = (115) \cdot ({(\frac{{(0.029)}^{2}}{({10.18}^{3}) \cdot (96) \cdot (96 - 0.5) \cdot 9.8066})}^{\frac{1}{3}})

Next Step Evaluate

∴

Co = 0.0238021927371805

LAST Step Rounding Answer

∴

Co = 0.0238

Condensation Number Formula Elements

Variables

Constants

Condensation Number

Condensation Number is defined as the dimensionless number which helps us to resolve equation in terms of film Reynolds number, which is important in determining condensation behavior.

Symbol: Co

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Condensation Number

Average Heat Transfer Coefficient

Average Heat Transfer Coefficient is equal to the heat flow (Q) across the heat-transfer surface divided by the average temperature (Δt) and the area of the heat-transfer surface (A).

Symbol: h ̅

Measurement: Heat Transfer CoefficientUnit: W/m²*K

Note: Value should be greater than 0.

Formulas to find Average Heat Transfer Coefficient

Viscosity of Film

Viscosity of Film is a measure of its resistance to deformation at a given rate.

Symbol: μ_f

Measurement: Dynamic ViscosityUnit: N*s/m²

Note: Value should be greater than 0.

Formulas to find Viscosity of Film

Thermal Conductivity

Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.

Symbol: k

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value should be greater than 0.

Formulas to find Thermal Conductivity

Density of Liquid Film

Density of Liquid Film is defined as the density of the liquid film which is considered for film condensation.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid Film

Density of Vapor

The Density of Vapor is the mass of a unit volume of a material substance.

Symbol: ρ_v

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Vapor

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Condensation Number

Go Condensation Number for Vertical Plate

Co = 1.47 \cdot ({(Re f)}^{- \frac{1}{3}})

Go Condensation Number for Horizontal Cylinder

Co = 1.514 \cdot ({(Re f)}^{- \frac{1}{3}})

Go Condensation Number given Reynolds Number

Co = ({(C)}^{\frac{4}{3}}) \cdot ({(\frac{4 \cdot \sin (Φ) \cdot ((\frac{A cs}{P}))}{L})}^{\frac{1}{3}}) \cdot ({(Re f)}^{- \frac{1}{3}})

Go Condensation Number when Turbulence is Encountered in Film

Co = 0.0077 \cdot ({(Re f)}^{0.4})

Other formulas in Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux category

Go Film Thickness given Mass Flow of Condensate

δ = {(\frac{3 \cdot μ f \cdot ṁ}{ρ L \cdot (ρ L - ρ v) \cdot [g]})}^{\frac{1}{3}}

Go Heat Transfer Rate for Condensation of Superheated Vapors

q = h ̅ \cdot A plate \cdot (T s' - T w)

Go Average Heat Transfer Coefficient for Condensation Inside Horizontal Tubes for Low Vapor Velocity

h ̅ = 0.555 \cdot {(\frac{ρ f \cdot (ρ f - ρ v) \cdot [g] \cdot h' fg \cdot ({k f}^{3})}{L \cdot D Tube \cdot (T Sat - T w)})}^{0.25}

Go Film Thickness in Film Condensation

δ = {(\frac{4 \cdot μ f \cdot k \cdot x \cdot (T Sat - T w)}{[g] \cdot h fg \cdot (ρ L) \cdot (ρ L - ρ v)})}^{0.25}

How to Evaluate Condensation Number?

Condensation Number evaluator uses Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3)) to evaluate the Condensation Number, The Condensation Number formula is a function of Viscosity of film, thermal conductivity, density of vapor, density of liquid and thermal conductivity. Condensation Number is denoted by Co symbol.

How to evaluate Condensation Number using this online evaluator? To use this online evaluator for Condensation Number, enter Average Heat Transfer Coefficient (h ̅), Viscosity of Film (μ_f), Thermal Conductivity (k), Density of Liquid Film (ρ_f) & Density of Vapor (ρ_v) and hit the calculate button.

FAQs on Condensation Number

What is the formula to find Condensation Number?

The formula of Condensation Number is expressed as Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3)). Here is an example- 0.023802 = (115)*((((0.029)^2)/((10.18^3)*(96)*(96-0.5)*[g]))^(1/3)).

How to calculate Condensation Number?

With Average Heat Transfer Coefficient (h ̅), Viscosity of Film (μ_f), Thermal Conductivity (k), Density of Liquid Film (ρ_f) & Density of Vapor (ρ_v) we can find Condensation Number using the formula - Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3)). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Condensation Number?

Here are the different ways to Calculate Condensation Number-

Condensation Number=1.47*((Reynolds Number of Film)^(-1/3))
Condensation Number=1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number=((Constant for Condensation Number)^(4/3))*(((4*sin(Inclination Angle)*((Cross Sectional Area of Flow/Wetted Perimeter)))/(Length of Plate))^(1/3))*((Reynolds Number of Film)^(-1/3))

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Condensation Number Formula

​GoCondensation Number for Vertical Plate Formula

​GoCondensation Number for Horizontal Cylinder Formula

Condensation Number Example

Condensation Number Solution

Condensation Number Formula Elements

Other Formulas to find Condensation Number

Other formulas in Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux category

How to Evaluate Condensation Number?

FAQs on Condensation Number

Variable Name

GoCondensation Number for Vertical Plate Formula

GoCondensation Number for Horizontal Cylinder Formula