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Film Thickness in Film Condensation Formula

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GoFilm Thickness given Mass Flow of Condensate Formula

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Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film. Check FAQs

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}

δ - Film Thickness?μ_f - Viscosity of Film?k - Thermal Conductivity?x - Height of Film?T_Sat - Saturation Temperature?T_w - Plate Surface Temperature?h_fg - Latent Heat of Vaporization?ρ_L - Density of Liquid?ρ_v - Density of Vapor?[g] - Gravitational acceleration on Earth?

Film Thickness in Film Condensation Example

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Here is how the Film Thickness in Film Condensation equation looks like with Values.

Here is how the Film Thickness in Film Condensation equation looks like with Units.

Here is how the Film Thickness in Film Condensation equation looks like.

0.001 = {(\frac{4 \cdot 0.029 \cdot 10.18 \cdot 0.06 \cdot (373 - 82)}{9.8066 \cdot 2.3E+6 \cdot (1000) \cdot (1000 - 0.5)})}^{0.25}

0.001m = {(\frac{4 \cdot 0.029N*s/m² \cdot 10.18W/(m*K) \cdot 0.06m \cdot (373K - 82K)}{9.8066m/s² \cdot 2.3E+6J/kg \cdot (1000kg/m³) \cdot (1000kg/m³ - 0.5kg/m³)})}^{0.25}

0.001 = {(\frac{4 \cdot 0.029 \cdot 10.18 \cdot 0.06 \cdot (373 - 82)}{9.8066 \cdot 2.3E+6 \cdot (1000) \cdot (1000 - 0.5)})}^{0.25}

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Film Thickness in Film Condensation Solution

Follow our step by step solution on how to calculate Film Thickness in Film Condensation?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

δ = {(\frac{4 \cdot 0.029N*s/m² \cdot 10.18W/(m*K) \cdot 0.06m \cdot (373K - 82K)}{[g] \cdot 2.3E+6J/kg \cdot (1000kg/m³) \cdot (1000kg/m³ - 0.5kg/m³)})}^{0.25}

Next Step Substitute values of Constants

∴

δ = {(\frac{4 \cdot 0.029N*s/m² \cdot 10.18W/(m*K) \cdot 0.06m \cdot (373K - 82K)}{9.8066m/s² \cdot 2.3E+6J/kg \cdot (1000kg/m³) \cdot (1000kg/m³ - 0.5kg/m³)})}^{0.25}

Next Step Convert Units

∴

δ = {(\frac{4 \cdot 0.029Pa*s \cdot 10.18W/(m*K) \cdot 0.06m \cdot (373K - 82K)}{9.8066m/s² \cdot 2.3E+6J/kg \cdot (1000kg/m³) \cdot (1000kg/m³ - 0.5kg/m³)})}^{0.25}

Next Step Prepare to Evaluate

∴

δ = {(\frac{4 \cdot 0.029 \cdot 10.18 \cdot 0.06 \cdot (373 - 82)}{9.8066 \cdot 2.3E+6 \cdot (1000) \cdot (1000 - 0.5)})}^{0.25}

Next Step Evaluate

∴

δ = 0.000982221697023871m

LAST Step Rounding Answer

∴

δ = 0.001m

Film Thickness in Film Condensation Formula Elements

Variables

Constants

Film Thickness

Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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.

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.

Height of Film

Height of Film is defined as the distance upto which the height of film is considered.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Saturation Temperature

Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.

Symbol: T_Sat

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Plate Surface Temperature

Plate Surface Temperature is the temperature at the surface of the plate.

Symbol: T_w

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Latent Heat of Vaporization

Latent Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure.

Symbol: h_fg

Measurement: Latent HeatUnit: J/kg

Note: Value should be greater than 0.

Density of Liquid

The density of Liquid is the mass of a unit volume of liquid.

Symbol: ρ_L

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

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.

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

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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Verified by Prerana Bakli

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Other Formulas to find Film Thickness

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}}

Other formulas in Condensation category

Go Condensation Number

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

Go Condensation Number for Vertical Plate

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

See More

How to Evaluate Film Thickness in Film Condensation?

Film Thickness in Film Condensation evaluator uses Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturation Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25) to evaluate the Film Thickness, The Film Thickness in Film Condensation formula is function of viscosity of film, thermal conductivity, height of film, saturated temp, plate surface temp, latent heat of vaporization, density of liquid, density of vapor etc. Film Thickness is denoted by δ symbol.

How to evaluate Film Thickness in Film Condensation using this online evaluator? To use this online evaluator for Film Thickness in Film Condensation, enter Viscosity of Film (μ_f), Thermal Conductivity (k), Height of Film (x), Saturation Temperature (T_Sat), Plate Surface Temperature (T_w), Latent Heat of Vaporization (h_fg), Density of Liquid (ρ_L) & Density of Vapor (ρ_v) and hit the calculate button.

FAQs on Film Thickness in Film Condensation

What is the formula to find Film Thickness in Film Condensation?

The formula of Film Thickness in Film Condensation is expressed as Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturation Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25). Here is an example- 0.000982 = ((4*0.029*10.18*0.06*(373-82))/([g]*2260000*(1000)*(1000-0.5)))^(0.25).

How to calculate Film Thickness in Film Condensation?

With Viscosity of Film (μ_f), Thermal Conductivity (k), Height of Film (x), Saturation Temperature (T_Sat), Plate Surface Temperature (T_w), Latent Heat of Vaporization (h_fg), Density of Liquid (ρ_L) & Density of Vapor (ρ_v) we can find Film Thickness in Film Condensation using the formula - Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturation Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Film Thickness?

Here are the different ways to Calculate Film Thickness-

Film Thickness=((3*Viscosity of Film*Mass Flow Rate)/(Density of Liquid*(Density of Liquid-Density of Vapor)*[g]))^(1/3)

Can the Film Thickness in Film Condensation be negative?

No, the Film Thickness in Film Condensation, measured in Length cannot be negative.

Which unit is used to measure Film Thickness in Film Condensation?

Film Thickness in Film Condensation is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Film Thickness in Film Condensation can be measured.

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