## Total Heat Transfer Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient
hT = hb* ((hb/h)^(1/3))+hr
This formula uses 4 Variables
Variables Used
Total Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Total Heat Transfer Coefficient is the heat transferred per unit area per degree celcius. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
Heat Transfer Coefficient in Film Boiling Region - (Measured in Watt per Square Meter per Kelvin) - Heat Transfer Coefficient in Film Boiling Region is the heat transferred per unit area per degree kelvin.
Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Heat Transfer Coefficient is the heat transferred per unit area per degree celcius. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
Radiation Heat Transfer Coefficient - (Measured in Watt per Square Meter per Kelvin) - Radiation Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
STEP 1: Convert Input(s) to Base Unit
Heat Transfer Coefficient in Film Boiling Region: 921 Watt per Square Meter per Kelvin --> 921 Watt per Square Meter per Kelvin No Conversion Required
Heat Transfer Coefficient: 5 Watt per Square Meter per Kelvin --> 5 Watt per Square Meter per Kelvin No Conversion Required
Radiation Heat Transfer Coefficient: 889 Watt per Square Meter per Kelvin --> 889 Watt per Square Meter per Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hT = hb* ((hb/h)^(1/3))+hr --> 921* ((921/5)^(1/3))+889
Evaluating ... ...
hT = 6129.30026172357
STEP 3: Convert Result to Output's Unit
6129.30026172357 Watt per Square Meter per Kelvin --> No Conversion Required
FINAL ANSWER
6129.30026172357 Watt per Square Meter per Kelvin <-- Total Heat Transfer Coefficient
(Calculation completed in 00.020 seconds)
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## Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
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## < 10+ Boiling and Condensation Formulas Calculators

Film Thickness in Film Condensation

## Film Thickness in Film Condensation

Formula
"δ" = ((4*"μ"_{"f"}*"k"*"x"*("T"_{"Sat"}-"T"_{"w"}))/("[g]"*"h"_{"fg"}*("ρ"_{"L"})*("ρ"_{"L"}-"ρ"_{"v"})))^(0.25)

Example
"0.000982m"=((4*"0.029N*s/m²"*"10.18W/(m*K)"*"0.06m"*("373K"-"82K"))/("[g]"*"2260000J/kg"*("1000kg/m³")*("1000kg/m³"-"0.5kg/m³")))^(0.25)

Calculator
LaTeX
Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturated Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25)
Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid

## Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid

Formula
"r" = (2*"σ"*"[R]"*("T"_{"Sat"}^2))/("P"_{"l"}*"L"_{"v"}*("T"_{"l"}-"T"_{"Sat"}))

Example
"-0.476265m"=(2*"72.75N/m"*"[R]"*("373K"^2))/("200000Pa"*"19J/mol"*("280K"-"373K"))

Calculator
LaTeX
Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturated Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturated Temperature))
Reynolds Number using Average Heat Transfer Coefficient for Condensate Film

## Reynolds Number using Average Heat Transfer Coefficient for Condensate Film

Formula
"Re"_{"f"} = ((4*"h ̅"*"L"* ("T"_{"Sat"}-"T"_{"w"}))/ ("h"_{"fg"}*"μ"_{"f"}))

Example
"0.399603"=((4*"450W/m²*K"*"0.05m"* ("373K"-"82K"))/ ("2260000J/kg"*"0.029N*s/m²"))

Calculator
LaTeX
Reynolds Number of Film = ((4*Average Heat Transfer Coefficient*Length of Plate* (Saturated Temperature-Plate Surface Temperature))/ (Latent Heat of Vaporization*Viscosity of Film))
Radiation Heat Transfer Coefficient

## Radiation Heat Transfer Coefficient

Formula
"h"_{"r"} = (("[Stefan-BoltZ]"*"ε"*((("T"_{"w"})^4)-(("T"_{"Sat"})^4)))/("T"_{"w"}-"T"_{"Sat"}))

Example
"3.574881W/m²*K"=(("[Stefan-BoltZ]"*"0.95"*((("82K")^4)-(("373K")^4)))/("82K"-"373K"))

Calculator
LaTeX
Radiation Heat Transfer Coefficient = (([Stefan-BoltZ]*Emissivity*(((Plate Surface Temperature)^4)-((Saturated Temperature)^4)))/(Plate Surface Temperature-Saturated Temperature))
Total Heat Transfer Coefficient

## Total Heat Transfer Coefficient

Formula
"h"_{"T"} = "h"_{"b"}* (("h"_{"b"}/"h")^(1/3))+"h"_{"r"}

Example
"6129.3W/m²*K"="921W/m²*K"* (("921W/m²*K"/"5W/m²*K")^(1/3))+"889W/m²*K"

Calculator
LaTeX
Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient
Mass Flow of Condensate through any X Position of Film

## Mass Flow of Condensate through any X Position of Film

Formula
"ṁ" = "ρ"_{"L"}*("ρ"_{"L"}-"ρ"_{"v"})*"[g]"*("δ"^3)/(3*"μ"_{"f"})

Example
"14.08297kg/s"="1000kg/m³"*("1000kg/m³"-"0.5kg/m³")*"[g]"*("0.005m"^3)/(3*"0.029N*s/m²")

Calculator
LaTeX
Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film)
Modified Heat of Vaporization

## Modified Heat of Vaporization

Formula
"λ" = ("h"_{"fg"}+("c"_{"pv"})*(("T"_{"w"}-"T"_{"Sat"})/2))

Example
"2.3E^6J/kg"=("2260000J/kg"+("23.5J/(kg*K)")*(("82K"-"373K")/2))

Calculator
LaTeX
Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2))
Energy Balance for Non-linear Temperature Profile in Film

## Energy Balance for Non-linear Temperature Profile in Film

Formula
"h'"_{"fg"} = ("h"_{"fg"}+0.68*"c"*("T"_{"Sat"}-"T"_{"w"}))

Example
"2.3E^6J/kg"=("2260000J/kg"+0.68*"4.184J/(kg*K)"*("373K"-"82K"))

Calculator
LaTeX
New Latent Heat of Vaporization = (Latent Heat of Vaporization+0.68*Specific Heat Capacity*(Saturated Temperature-Plate Surface Temperature))
Reynolds Number for Condensate Film

## Reynolds Number for Condensate Film

Formula
"Re"_{"f"} = (4*"ṁ"_{"1"})/("P"*"μ")

Example
"2666.667"=(4*"20000kg/s")/("3m"*"10N*s/m²")

Calculator
LaTeX
Reynolds Number of Film = (4*Mass Flow of Condensate)/(Wetted Perimeter*Viscosity of Fluid)
Excess Temperature in Boiling

## Excess Temperature in Boiling

Formula
"T"_{"e"} = "T"_{"Surface"}-"T"_{"Sat"}

Example
"29K"="402K"-"373K"

Calculator
LaTeX
Excess Temperature in Heat Transfer = Surface Temperature-Saturated Temperature

## Total Heat Transfer Coefficient Formula

Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient
hT = hb* ((hb/h)^(1/3))+hr

## 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 Total Heat Transfer Coefficient?

Total Heat Transfer Coefficient calculator uses Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient to calculate the Total Heat Transfer Coefficient, The Total Heat Transfer Coefficient formula is defined as a function of heat transfer coefficient in film boiling and radiation. Total Heat Transfer Coefficient is denoted by hT symbol.

How to calculate Total Heat Transfer Coefficient using this online calculator? To use this online calculator for Total Heat Transfer Coefficient, enter Heat Transfer Coefficient in Film Boiling Region (hb), Heat Transfer Coefficient (h) & Radiation Heat Transfer Coefficient (hr) and hit the calculate button. Here is how the Total Heat Transfer Coefficient calculation can be explained with given input values -> 6129.3 = 921* ((921/5)^(1/3))+889.

### FAQ

What is Total Heat Transfer Coefficient?
The Total Heat Transfer Coefficient formula is defined as a function of heat transfer coefficient in film boiling and radiation and is represented as hT = hb* ((hb/h)^(1/3))+hr or Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient. Heat Transfer Coefficient in Film Boiling Region is the heat transferred per unit area per degree kelvin, Heat Transfer Coefficient is the heat transferred per unit area per degree celcius. Thus area is included in the equation as it represents the area over which the transfer of heat takes place & Radiation Heat Transfer Coefficient is the heat transferred per unit area per kelvin. Thus area is included in the equation as it represents the area over which the transfer of heat takes place.
How to calculate Total Heat Transfer Coefficient?
The Total Heat Transfer Coefficient formula is defined as a function of heat transfer coefficient in film boiling and radiation is calculated using Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient. To calculate Total Heat Transfer Coefficient, you need Heat Transfer Coefficient in Film Boiling Region (hb), Heat Transfer Coefficient (h) & Radiation Heat Transfer Coefficient (hr). With our tool, you need to enter the respective value for Heat Transfer Coefficient in Film Boiling Region, Heat Transfer Coefficient & Radiation Heat Transfer Coefficient 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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