Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Heat Transfer Coefficient = 0.725*(((Thermal Conductivity^3)*(Density of Liquid Condensate^2)*Acceleration due to Gravity*Latent Heat of Vaporization)/(Number of Tubes*Diameter of Tube*Viscosity of Film*Temperature Difference))^(1/4)
h ̅ = 0.725*(((k^3)*(ρf^2)*g*hfg)/(N*dt*μf*ΔT))^(1/4)
This formula uses 9 Variables
Variables Used
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).
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.
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.
Number of Tubes - Number of tubes is the total count of the tubes that fluid passes through in a heat exchanger.
Diameter of Tube - (Measured in Meter) - Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″).
Viscosity of Film - (Measured in Pascal Second) - Viscosity of Film is a measure of its resistance to deformation at a given rate.
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
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)
Number of Tubes: 11 --> No Conversion Required
Diameter of Tube: 3000 Millimeter --> 3 Meter (Check conversion ​here)
Viscosity of Film: 0.029 Newton Second per Square Meter --> 0.029 Pascal Second (Check conversion ​here)
Temperature Difference: 29 Kelvin --> 29 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h ̅ = 0.725*(((k^3)*(ρf^2)*g*hfg)/(N*dtf*ΔT))^(1/4) --> 0.725*(((10.18^3)*(10^2)*9.8*2260000)/(11*3*0.029*29))^(1/4)
Evaluating ... ...
h ̅ = 390.530524644415
STEP 3: Convert Result to Output's Unit
390.530524644415 Watt per Square Meter per Kelvin --> No Conversion Required
FINAL ANSWER
390.530524644415 390.5305 Watt per Square Meter per Kelvin <-- Average Heat Transfer Coefficient
(Calculation completed in 00.004 seconds)

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Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D Formula

​LaTeX ​Go
Average Heat Transfer Coefficient = 0.725*(((Thermal Conductivity^3)*(Density of Liquid Condensate^2)*Acceleration due to Gravity*Latent Heat of Vaporization)/(Number of Tubes*Diameter of Tube*Viscosity of Film*Temperature Difference))^(1/4)
h ̅ = 0.725*(((k^3)*(ρf^2)*g*hfg)/(N*dt*μf*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 Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D?

Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D calculator uses Average Heat Transfer Coefficient = 0.725*(((Thermal Conductivity^3)*(Density of Liquid Condensate^2)*Acceleration due to Gravity*Latent Heat of Vaporization)/(Number of Tubes*Diameter of Tube*Viscosity of Film*Temperature Difference))^(1/4) to calculate the Average Heat Transfer Coefficient, Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D formula is defined as a measure of the rate of heat transfer between the condensing vapour and the tube surface, influenced by factors such as vapour properties, tube diameter, and temperature difference. Average Heat Transfer Coefficient is denoted by h ̅ symbol.

How to calculate Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D using this online calculator? To use this online calculator for Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D, enter Thermal Conductivity (k), Density of Liquid Condensate f), Acceleration due to Gravity (g), Latent Heat of Vaporization (hfg), Number of Tubes (N), Diameter of Tube (dt), Viscosity of Film f) & Temperature Difference (ΔT) and hit the calculate button. Here is how the Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D calculation can be explained with given input values -> 390.5305 = 0.725*(((10.18^3)*(10^2)*9.8*2260000)/(11*3*0.029*29))^(1/4).

FAQ

What is Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D?
Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D formula is defined as a measure of the rate of heat transfer between the condensing vapour and the tube surface, influenced by factors such as vapour properties, tube diameter, and temperature difference and is represented as h ̅ = 0.725*(((k^3)*(ρf^2)*g*hfg)/(N*dtf*ΔT))^(1/4) or Average Heat Transfer Coefficient = 0.725*(((Thermal Conductivity^3)*(Density of Liquid Condensate^2)*Acceleration due to Gravity*Latent Heat of Vaporization)/(Number of Tubes*Diameter of Tube*Viscosity of Film*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, 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, Number of tubes is the total count of the tubes that fluid passes through in a heat exchanger, Diameter of tube is defined as the OUTSIDE DIAMETER (O.D.), specified in inches (e.g., 1.250) or fraction of an inch (eg. 1-1/4″), Viscosity of Film is a measure of its resistance to deformation at a given rate & Temperature Difference is the measure of the hotness or the coldness of an object.
How to calculate Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D?
Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D formula is defined as a measure of the rate of heat transfer between the condensing vapour and the tube surface, influenced by factors such as vapour properties, tube diameter, and temperature difference is calculated using Average Heat Transfer Coefficient = 0.725*(((Thermal Conductivity^3)*(Density of Liquid Condensate^2)*Acceleration due to Gravity*Latent Heat of Vaporization)/(Number of Tubes*Diameter of Tube*Viscosity of Film*Temperature Difference))^(1/4). To calculate Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D, you need Thermal Conductivity (k), Density of Liquid Condensate f), Acceleration due to Gravity (g), Latent Heat of Vaporization (hfg), Number of Tubes (N), Diameter of Tube (dt), Viscosity of Film f) & Temperature Difference (ΔT). With our tool, you need to enter the respective value for Thermal Conductivity, Density of Liquid Condensate, Acceleration due to Gravity, Latent Heat of Vaporization, Number of Tubes, Diameter of Tube, Viscosity of Film & 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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