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

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Heat Transfer in Condenser

✖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.ⓘ Thermal Conductivity [k]			+10% -10%
✖The Density of Liquid Condensate is the mass of a unit volume of the liquid condensate.ⓘ Density of Liquid Condensate [ρ_f]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Latent heat of vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure.ⓘ Latent Heat of Vaporization [h_fg]			+10% -10%
✖Number of tubes is the total count of the tubes.ⓘ Number of Tubes [N]			+10% -10%
✖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″).ⓘ Diameter of Tube [d]			+10% -10%
✖Viscosity of Film is a measure of its resistance to deformation at a given rate.ⓘ Viscosity of Film [μ_f]			+10% -10%
✖Temperature Difference is the measure of the hotness or the coldness of an object.ⓘ Temperature Difference [ΔT]			+10% -10%

✖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).ⓘ Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D [h ̅]

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Formula

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

Formula

`"h ̅" = 0.725*((("k"^3)*("ρ"_{"f"}^2)*"g"*"h"_{"fg"})/("N"*"d"*"μ"_{"f"}*"ΔT"))^(1/4)`

Example

`"390.5305W/m²*K"=0.725*(((("10.18W/(m*K)")^3)*(("10kg/m³")^2)*"9.8m/s²"*"2260kJ/kg")/("11"*"3000mm"*"0.029N*s/m²"*"29K"))^(1/4)`

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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)*(ρ_f^2)*g*h_fg)/(N*d*μ_f*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.
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)*(ρ_f^2)*g*h_fg)/(N*d*μ_f*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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Home » Physics » Refrigeration and Air Conditioning » Heat Transfer » Average Coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D

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Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

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< 21 Heat Transfer Calculators

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

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)

Overall Coefficient of Heat Transfer for Condensation on Vertical Surface

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)

Mean Surface area of Tube when Heat transfer takes place from outside to inside surface of tube

Go Surface Area = (Heat Transfer*Tube Thickness)/(Thermal Conductivity*(Outside Surface Temperature-Inside Surface temperature))

Temperature at Outside Surface of Tube given Heat Transfer

Go Outside Surface Temperature = ((Heat Transfer*Tube Thickness)/(Thermal Conductivity*Surface Area))+Inside Surface temperature

Temperature at Inside Surface of Tube given Heat Transfer

Go Inside Surface temperature = Outside Surface Temperature+((Heat Transfer*Tube Thickness)/(Thermal Conductivity*Surface Area))

Thickness of Tube when Heat transfer takes places from outside to inside surface of tube

Go Tube Thickness = (Thermal Conductivity*Surface Area*(Outside Surface Temperature-Inside Surface temperature))/Heat Transfer

Heat transfer takes place from outside surface to inside surface of tube

Go Heat Transfer = (Thermal Conductivity*Surface Area*(Outside Surface Temperature-Inside Surface temperature))/Tube Thickness

Temperature of Refrigerant Vapour condensing Film given Heat Transfer

Go Vapour condensing film temperature = (Heat Transfer/(Heat Transfer Coefficient*Area))+Outside Surface Temperature

Temperature at Outside Surface of Tube provided Heat Transfer

Go Outside Surface Temperature = Vapour condensing film temperature-(Heat Transfer/(Heat Transfer Coefficient*Area))

Heat Transfer takes place from vapour refrigerant to outside of tube

Go Heat Transfer = Heat Transfer Coefficient*Area*(Vapour condensing film temperature-Outside Surface Temperature)

Overall Temperature difference when Heat transfer takes place from outside to inside surface of tube

Go Overall Temperature Difference = (Heat Transfer*Tube Thickness)/(Thermal Conductivity*Surface Area)

Heat Rejection Factor

Go Heat Rejection Factor = (Refrigeration Capacity+Compressor work done)/Refrigeration Capacity

Heat Transfer in Condenser given Overall Heat Transfer Coefficient

Go Heat Transfer = Overall Heat Transfer Coefficient*Surface Area*Temperature Difference

Overall Temperature difference when Heat Transfer from vapour refrigerant to outside of tube

Go Overall Temperature Difference = Heat Transfer/(Heat Transfer Coefficient*Area)

Overall Temperature difference given Heat Transfer

Go Overall Temperature Difference = Heat Transfer*Thermal Resistance

Overall thermal resistance in condenser

Go Thermal Resistance = Overall Temperature Difference/Heat Transfer

Work done by Compressor given Load on Condenser

Go Compressor work done = Load on Condenser-Refrigeration Capacity

Refrigeration Capacity given Load on Condenser

Go Refrigeration Capacity = Load on Condenser-Compressor work done

Load on Condenser

Go Load on Condenser = Refrigeration Capacity+Compressor work done

Heat Transfer in Condenser given Overall Thermal Resistance

Go Heat Transfer = Temperature Difference/Thermal Resistance

Heat Rejection Factor given COP

Go Heat Rejection Factor = 1+(1/Coefficient of Performance of Refrigerator)

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

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 gives the value of the average coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D using the Nusselt theory or Laminar liquid film theory. 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 (ρ_f), Acceleration due to Gravity (g), Latent Heat of Vaporization (h_fg), Number of Tubes (N), Diameter of Tube (d), Viscosity of Film (μ_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 gives the value of the average coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D using the Nusselt theory or Laminar liquid film theory and is represented as h ̅ = 0.725*(((k^3)*(ρ_f^2)*g*h_fg)/(N*d*μ_f*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, 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 gives the value of the average coefficient of heat transfer for vapour condensing outside of horizontal tubes of diameter D using the Nusselt theory or Laminar liquid film theory 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 (ρ_f), Acceleration due to Gravity (g), Latent Heat of Vaporization (h_fg), Number of Tubes (N), Diameter of Tube (d), Viscosity of Film (μ_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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