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 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux Calculators

Condensation Number given Reynolds Number
​ LaTeX ​ 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
​ LaTeX ​ 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))
Condensation Number for Horizontal Cylinder
​ LaTeX ​ Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
​ LaTeX ​ Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Condensation Calculators

Condensation Number
​ LaTeX ​ 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))
Film Thickness given Mass Flow of Condensate
​ LaTeX ​ Go Film Thickness = ((3*Viscosity of Film*Mass Flow Rate)/(Density of Liquid*(Density of Liquid-Density of Vapor)*[g]))^(1/3)
Condensation Number for Horizontal Cylinder
​ LaTeX ​ Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
​ LaTeX ​ Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Condensation Number Formula

​LaTeX ​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))
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 3 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))
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