Overall Coefficient of Heat Transfer for Condensation on 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 of Surface*Temperature Difference))^(1/4)
U = 0.943*(((k^3)*(ρf-ρv)*g*hfg)/(μf*H*ΔT))^(1/4)
This formula uses 9 Variables
Variables Used
Overall Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - The Overall Heat Transfer Coefficient is a measure of the overall ability of a series of conductive and convective barriers to transfer heat.
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 Condensate - (Measured in Kilogram per Cubic Meter) - The Density of Liquid Condensate is the mass of a unit volume of the liquid condensate.
Density - (Measured in Kilogram per Cubic Meter) - Density is mass of a unit volume of a material substance.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Latent Heat of Vaporization - (Measured in Joule per Kilogram) - 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 - (Measured in Pascal Second) - Viscosity of Film is a measure of its resistance to deformation at a given rate.
Height of Surface - (Measured in Meter) - Height of Surface is the distance between the lowest and highest points of a person/ shape/ object standing upright.
Temperature Difference - (Measured in Kelvin) - Temperature Difference is the measure of the hotness or the coldness of an object.
STEP 1: Convert Input(s) to Base Unit
Thermal Conductivity: 10.18 Watt per Meter per K --> 10.18 Watt per Meter per K No Conversion Required
Density of Liquid Condensate: 10 Kilogram per Cubic Meter --> 10 Kilogram per Cubic Meter No Conversion Required
Density: 0.002 Kilogram per Cubic Meter --> 0.002 Kilogram per Cubic Meter 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: 0.029 Newton Second per Square Meter --> 0.029 Pascal Second (Check conversion ​here)
Height of Surface: 1300 Millimeter --> 1.3 Meter (Check conversion ​here)
Temperature Difference: 29 Kelvin --> 29 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*(((10.18^3)*(10-0.002)*9.8*2260000)/(0.029*1.3*29))^(1/4)
Evaluating ... ...
U = 641.135169860697
STEP 3: Convert Result to Output's Unit
641.135169860697 Watt per Square Meter per Kelvin --> No Conversion Required
FINAL ANSWER
641.135169860697 641.1352 Watt per Square Meter per Kelvin <-- Overall Heat Transfer Coefficient
(Calculation completed in 00.004 seconds)

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Overall Coefficient of Heat Transfer for Condensation on Vertical Surface Formula

​LaTeX ​Go
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 of Surface*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 Vertical Surface?

Overall Coefficient of Heat Transfer for Condensation on 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 of Surface*Temperature Difference))^(1/4) to calculate the Overall Heat Transfer Coefficient, Overall Coefficient of Heat Transfer for Condensation on Vertical Surface formula is defined as a measure of the rate of heat transfer between a vertical surface and a condensing fluid, taking into account the physical properties of the fluid and the surface. It is a crucial parameter in designing and optimizing heat transfer systems, particularly in condenser design and performance evaluation. Overall Heat Transfer Coefficient is denoted by U symbol.

How to calculate Overall Coefficient of Heat Transfer for Condensation on Vertical Surface using this online calculator? To use this online calculator for Overall Coefficient of Heat Transfer for Condensation on 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 of Surface (H) & Temperature Difference (ΔT) and hit the calculate button. Here is how the Overall Coefficient of Heat Transfer for Condensation on Vertical Surface calculation can be explained with given input values -> 641.1352 = 0.943*(((10.18^3)*(10-0.002)*9.8*2260000)/(0.029*1.3*29))^(1/4).

FAQ

What is Overall Coefficient of Heat Transfer for Condensation on Vertical Surface?
Overall Coefficient of Heat Transfer for Condensation on Vertical Surface formula is defined as a measure of the rate of heat transfer between a vertical surface and a condensing fluid, taking into account the physical properties of the fluid and the surface. It is a crucial parameter in designing and optimizing heat transfer systems, particularly in condenser design and performance evaluation 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 of Surface*Temperature Difference))^(1/4). 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, 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, 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 of Surface 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 Vertical Surface?
Overall Coefficient of Heat Transfer for Condensation on Vertical Surface formula is defined as a measure of the rate of heat transfer between a vertical surface and a condensing fluid, taking into account the physical properties of the fluid and the surface. It is a crucial parameter in designing and optimizing heat transfer systems, particularly in condenser design and performance evaluation 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 of Surface*Temperature Difference))^(1/4). To calculate Overall Coefficient of Heat Transfer for Condensation on 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 of Surface (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 of Surface & 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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