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Overall coefficient of heat transfer for condensation on a vertical surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Overall Heat Transfer Coefficient = 0.943*(((Thermal Conductivity^3)* (Density of Liquid Condensate-Density)*Acceleration Due To Gravity*Latent Heat of Vaporization)/(Viscosity of Film*Height*Temperature Difference))^(1/4)
U = 0.943*(((k^3)* (ρf-ρv)*g*hfg)/(μf*h*ΔT))^(1/4)
This formula uses 8 Variables
Variables Used
Thermal Conductivity - Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance. (Measured in Watt per Meter per K)
Density of Liquid Condensate - The Density of Liquid Condensate is the mass of a unit volume of the liquid condensate. (Measured in Kilogram per Meter³)
Density - Density is mass of a unit volume of a material substance. (Measured in Kilogram per Meter³)
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
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. (Measured in Kilojoule per Kilogram)
Viscosity of Film - Viscosity of Film is a measure of its resistance to deformation at a given rate. (Measured in Newton Second per Meter²)
Height - Height is the distance between the lowest and highest points of a person/ shape/ object standing upright. (Measured in Meter)
Temperature Difference - Temperature Difference is the measure of the hotness or the coldness of an object. (Measured in Kelvin)
STEP 1: Convert Input(s) to Base Unit
Thermal Conductivity: 10 Watt per Meter per K --> 10 Watt per Meter per K No Conversion Required
Density of Liquid Condensate: 10 Kilogram per Meter³ --> 10 Kilogram per Meter³ No Conversion Required
Density: 0.5 Kilogram per Meter³ --> 0.5 Kilogram per Meter³ No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Latent Heat of Vaporization: 2260 Kilojoule per Kilogram --> 2260000 Joule per Kilogram (Check conversion here)
Viscosity of Film: 0.00029 Newton Second per Meter² --> 0.00029 Pascal Second (Check conversion here)
Height: 12 Meter --> 12 Meter No Conversion Required
Temperature Difference: 20 Kelvin --> 20 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = 0.943*(((k^3)* (ρf-ρv)*g*hfg)/(μf*h*ΔT))^(1/4) --> 0.943*(((10^3)* (10-0.5)*9.8*2260000)/(0.00029*12*20))^(1/4)
Evaluating ... ...
U = 1243.43736268586
STEP 3: Convert Result to Output's Unit
1243.43736268586 Watt per Meter² per K --> No Conversion Required
FINAL ANSWER
1243.43736268586 Watt per Meter² per K <-- Overall Heat Transfer Coefficient
(Calculation completed in 00.031 seconds)

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Overall coefficient of heat transfer for condensation on a vertical surface Formula

Overall Heat Transfer Coefficient = 0.943*(((Thermal Conductivity^3)* (Density of Liquid Condensate-Density)*Acceleration Due To Gravity*Latent Heat of Vaporization)/(Viscosity of Film*Height*Temperature Difference))^(1/4)
U = 0.943*(((k^3)* (ρf-ρv)*g*hfg)/(μf*h*ΔT))^(1/4)

What is Nusselt theory?

In condensation on a vertical surface, a film of condensate is formed and further condensation and heat transfer to the surface occurs by conduction through the film which is assumed to be laminar flow downward.

How to Calculate Overall coefficient of heat transfer for condensation on a vertical surface?

Overall coefficient of heat transfer for condensation on a vertical surface calculator uses Overall Heat Transfer Coefficient = 0.943*(((Thermal Conductivity^3)* (Density of Liquid Condensate-Density)*Acceleration Due To Gravity*Latent Heat of Vaporization)/(Viscosity of Film*Height*Temperature Difference))^(1/4) to calculate the Overall Heat Transfer Coefficient, The overall coefficient of heat transfer for condensation on a vertical surface formula gives the value of the overall heat transfer coefficient according to the laminar liquid film theory for condensation on a vertical surface of height x is given. Overall Heat Transfer Coefficient is denoted by U symbol.

How to calculate Overall coefficient of heat transfer for condensation on a vertical surface using this online calculator? To use this online calculator for Overall coefficient of heat transfer for condensation on a vertical surface, enter Thermal Conductivity (k), Density of Liquid Condensate f), Density (ρv), Acceleration Due To Gravity (g), Latent Heat of Vaporization (hfg), Viscosity of Film f), Height (h) & Temperature Difference (ΔT) and hit the calculate button. Here is how the Overall coefficient of heat transfer for condensation on a vertical surface calculation can be explained with given input values -> 1243.437 = 0.943*(((10^3)* (10-0.5)*9.8*2260000)/(0.00029*12*20))^(1/4).

FAQ

What is Overall coefficient of heat transfer for condensation on a vertical surface?
The overall coefficient of heat transfer for condensation on a vertical surface formula gives the value of the overall heat transfer coefficient according to the laminar liquid film theory for condensation on a vertical surface of height x is given and is represented as U = 0.943*(((k^3)* (ρf-ρv)*g*hfg)/(μf*h*ΔT))^(1/4) or Overall Heat Transfer Coefficient = 0.943*(((Thermal Conductivity^3)* (Density of Liquid Condensate-Density)*Acceleration Due To Gravity*Latent Heat of Vaporization)/(Viscosity of Film*Height*Temperature Difference))^(1/4). Thermal Conductivity is the rate at which heat passes through a specified material, expressed as the amount of heat that flows per unit time through a unit area with a temperature gradient of one degree per unit distance, The Density of Liquid Condensate is the mass of a unit volume of the liquid condensate, Density is mass of a unit volume of a material substance, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Latent heat of vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure, Viscosity of Film is a measure of its resistance to deformation at a given rate, Height is the distance between the lowest and highest points of a person/ shape/ object standing upright & Temperature Difference is the measure of the hotness or the coldness of an object.
How to calculate Overall coefficient of heat transfer for condensation on a vertical surface?
The overall coefficient of heat transfer for condensation on a vertical surface formula gives the value of the overall heat transfer coefficient according to the laminar liquid film theory for condensation on a vertical surface of height x is given is calculated using Overall Heat Transfer Coefficient = 0.943*(((Thermal Conductivity^3)* (Density of Liquid Condensate-Density)*Acceleration Due To Gravity*Latent Heat of Vaporization)/(Viscosity of Film*Height*Temperature Difference))^(1/4). To calculate Overall coefficient of heat transfer for condensation on a vertical surface, you need Thermal Conductivity (k), Density of Liquid Condensate f), Density (ρv), Acceleration Due To Gravity (g), Latent Heat of Vaporization (hfg), Viscosity of Film f), Height (h) & Temperature Difference (ΔT). With our tool, you need to enter the respective value for Thermal Conductivity, Density of Liquid Condensate, Density, Acceleration Due To Gravity, Latent Heat of Vaporization, Viscosity of Film, Height & Temperature Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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