Condensation Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Co = (h ̅)* ((((μf)^2)/((k^3)*(ρf)*(ρf-ρv)*[g]))^(1/3))
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Average Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - 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).
Viscosity of Film - (Measured in Pascal Second) - Viscosity of Film is a measure of its resistance to deformation at a given rate.
Thermal Conductivity - (Measured in Watt per Meter per K) - 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.
Density of Liquid Film - (Measured in Kilogram per Cubic Meter) - Density of Liquid Film is defined as the density of the liquid film which is considered for film condensation.
Density of Vapor - (Measured in Kilogram per Cubic Meter) - The Density of Vapor is the mass of a unit volume of a material substance.
STEP 1: Convert Input(s) to Base Unit
Average Heat Transfer Coefficient: 115 Watt per Square Meter per Kelvin --> 115 Watt per Square Meter per Kelvin No Conversion Required
Viscosity of Film: 0.029 Newton Second per Square Meter --> 0.029 Pascal Second (Check conversion here)
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Density of Liquid Film: 96 Kilogram per Cubic Meter --> 96 Kilogram per Cubic Meter No Conversion Required
Density of Vapor: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Co = (h ̅)* ((((μf)^2)/((k^3)*(ρf)*(ρfv)*[g]))^(1/3)) --> (115)* ((((0.029)^2)/((10.18^3)*(96)*(96-0.5)*[g]))^(1/3))
Evaluating ... ...
Co = 0.0238021927371805
STEP 3: Convert Result to Output's Unit
0.0238021927371805 --> No Conversion Required
FINAL ANSWER
0.0238021927371805 0.023802 <-- Condensation Number
(Calculation completed in 00.020 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
Ayush gupta has created this Calculator and 300+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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16 Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux Calculators

Average Heat Transfer Coefficient for Condensation Inside Horizontal Tubes for Low Vapor Velocity
Go Average Heat Transfer Coefficient = 0.555*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Corrected Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Diameter of Tube* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere
Go Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Laminar Film Condensation of Tube
Go Average Heat Transfer Coefficient = 0.725*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Diameter of Tube*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Vapor Condensing on Plate
Go Average Heat Transfer Coefficient = 0.943*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Film Condensation on Plate for Wavy Laminar Flow
Go Average Heat Transfer Coefficient = 1.13*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Condensation Number given Reynolds Number
Go 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))
Condensation Number
Go 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))
Critical Heat Flux by Zuber
Go Critical Heat Flux = ((0.149*Enthalpy of Vaporization of Liquid*Density of Vapor)* (((Surface Tension*[g])*(Density of Liquid-Density of Vapor))/ (Density of Vapor^2))^(1/4))
Average Heat Transfer Coefficient given Reynolds Number and Properties at Film Temperature
Go Average Heat Transfer Coefficient = (0.026*(Prandtl Number at Film Temperature^(1/3))*(Reynolds Number for Mixing^(0.8))*(Thermal Conductivity at Film Temperature))/Diameter of Tube
Heat Transfer Rate for Condensation of Superheated Vapors
Go Heat Transfer = Average Heat Transfer Coefficient*Area of Plate*(Saturation Temperature for Superheated Vapor-Plate Surface Temperature)
Correlation for Heat Flux proposed by Mostinski
Go Heat Transfer Coefficient For Nucleate Boiling = 0.00341*(Critical Pressure^2.3)*(Excess Temperature in Nucleate Boiling^2.33)*(Reduced Pressure^0.566)
Heat Flux in Fully Developed Boiling State for Higher Pressures
Go Rate of Heat Transfer = 283.2*Area*((Excess Temperature)^(3))*((Pressure)^(4/3))
Heat Flux in Fully Developed Boiling State for Pressure upto 0.7 Megapascal
Go Rate of Heat Transfer = 2.253*Area*((Excess Temperature)^(3.96))
Condensation Number when Turbulence is Encountered in Film
Go Condensation Number = 0.0077*((Reynolds Number of Film)^(0.4))
Condensation Number for Horizontal Cylinder
Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

22 Condensation Calculators

Average Heat Transfer Coefficient for Condensation Inside Horizontal Tubes for Low Vapor Velocity
Go Average Heat Transfer Coefficient = 0.555*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Corrected Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Diameter of Tube* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere
Go Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Laminar Film Condensation of Tube
Go Average Heat Transfer Coefficient = 0.725*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Diameter of Tube*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Vapor Condensing on Plate
Go Average Heat Transfer Coefficient = 0.943*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Average Heat Transfer Coefficient for Film Condensation on Plate for Wavy Laminar Flow
Go Average Heat Transfer Coefficient = 1.13*((Density of Liquid Film* (Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization* (Thermal Conductivity of Film Condensate^3))/(Length of Plate*Viscosity of Film* (Saturation Temperature-Plate Surface Temperature)))^(0.25)
Film Thickness in Film Condensation
Go 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)
Condensation Number given Reynolds Number
Go 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))
Condensation Number
Go 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))
Reynolds Number using Average Heat Transfer Coefficient for Condensate Film
Go Reynolds Number of Film = ((4*Average Heat Transfer Coefficient*Length of Plate* (Saturation Temperature-Plate Surface Temperature))/ (Latent Heat of Vaporization*Viscosity of Film))
Film Thickness given Mass Flow of Condensate
Go Film Thickness = ((3*Viscosity of Film*Mass Flow Rate)/(Density of Liquid*(Density of Liquid-Density of Vapor)*[g]))^(1/3)
Average Heat Transfer Coefficient given Reynolds Number and Properties at Film Temperature
Go Average Heat Transfer Coefficient = (0.026*(Prandtl Number at Film Temperature^(1/3))*(Reynolds Number for Mixing^(0.8))*(Thermal Conductivity at Film Temperature))/Diameter of Tube
Mass Flow of Condensate through any X Position of Film
Go Mass Flow Rate = (Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3))/(3*Viscosity of Film)
Viscosity of Film given Mass Flow of Condensate
Go Viscosity of Film = (Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3))/(3*Mass Flow Rate)
Heat Transfer Coefficient for Condensation on Flat Plate for Nonlinear Temperature Profile in Film
Go Corrected Latent Heat of Vaporization = (Latent Heat of Vaporization+0.68*Specific Heat Capacity*(Saturation Temperature-Plate Surface Temperature))
Heat Transfer Rate for Condensation of Superheated Vapors
Go Heat Transfer = Average Heat Transfer Coefficient*Area of Plate*(Saturation Temperature for Superheated Vapor-Plate Surface Temperature)
Wetted Perimeter given Reynolds Number of Film
Go Wetted Perimeter = (4*Mass Flow of Condensate)/(Reynolds Number of Film*Viscosity of Fluid)
Reynolds Number for Condensate Film
Go Reynolds Number of Film = (4*Mass Flow of Condensate)/(Wetted Perimeter*Viscosity of Fluid)
Viscosity of Film given Reynolds Number of Film
Go Viscosity of Film = (4*Mass Flow of Condensate)/(Wetted Perimeter*Reynolds Number of Film)
Mass Flow Rate through Particular Section of Condensate Film given Reynolds Number of Film
Go Mass Flow of Condensate = (Reynolds Number of Film*Wetted Perimeter*Viscosity of Fluid)/4
Condensation Number when Turbulence is Encountered in Film
Go Condensation Number = 0.0077*((Reynolds Number of Film)^(0.4))
Condensation Number for Horizontal Cylinder
Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Condensation Number 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))
Co = (h ̅)* ((((μf)^2)/((k^3)*(ρf)*(ρf-ρv)*[g]))^(1/3))

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Condensation Number?

Condensation Number calculator 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 calculate 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 calculate Condensation Number using this online calculator? To use this online calculator for Condensation Number, enter Average Heat Transfer Coefficient (h ̅), Viscosity of Film f), Thermal Conductivity (k), Density of Liquid Film f) & Density of Vapor v) and hit the calculate button. Here is how the Condensation Number calculation can be explained with given input values -> 0.023802 = (115)* ((((0.029)^2)/((10.18^3)*(96)*(96-0.5)*[g]))^(1/3)).

FAQ

What is Condensation Number?
The Condensation Number formula is a function of Viscosity of film, thermal conductivity, density of vapor, density of liquid and thermal conductivity and is represented as Co = (h ̅)* ((((μf)^2)/((k^3)*(ρf)*(ρfv)*[g]))^(1/3)) or 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)). 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), Viscosity of Film is a measure of its resistance to deformation at a given rate, 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, Density of Liquid Film is defined as the density of the liquid film which is considered for film condensation & The Density of Vapor is the mass of a unit volume of a material substance.
How to calculate Condensation Number?
The Condensation Number formula is a function of Viscosity of film, thermal conductivity, density of vapor, density of liquid and thermal conductivity is calculated using 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 calculate Condensation Number, you need Average Heat Transfer Coefficient (h ̅), Viscosity of Film f), Thermal Conductivity (k), Density of Liquid Film f) & Density of Vapor v). With our tool, you need to enter the respective value for Average Heat Transfer Coefficient, Viscosity of Film, Thermal Conductivity, Density of Liquid Film & Density of Vapor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Condensation Number?
In this formula, Condensation Number uses Average Heat Transfer Coefficient, Viscosity of Film, Thermal Conductivity, Density of Liquid Film & Density of Vapor. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
  • Condensation Number = 1.47*((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))
  • Condensation Number = 0.0077*((Reynolds Number of Film)^(0.4))
  • 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))
  • Condensation Number = 0.0077*((Reynolds Number of Film)^(0.4))
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