Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25)
h ̅ = 0.815*((ρf*(ρf-ρv)*[g]*hfg*(kf^3))/(DSphere*μf*(TSat-Tw)))^(0.25)
This formula uses 1 Constants, 9 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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).
Density of Liquid Film - (Measured in Kilogram per Cubic Meter) - Density of Liquid Film is defined as the density of the liquid film which is considered for film condensation.
Density of Vapor - (Measured in Kilogram per Cubic Meter) - The Density of Vapor is the mass of a unit volume of a material substance.
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.
Thermal Conductivity of Film Condensate - (Measured in Watt per Meter per K) - Thermal Conductivity of Film Condensate is defined as the ability of the film to conduct heat.
Diameter of Sphere - (Measured in Meter) - Diameter of Sphere is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Viscosity of Film - (Measured in Pascal Second) - Viscosity of Film is a measure of its resistance to deformation at a given rate.
Saturation Temperature - (Measured in Kelvin) - Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.
Plate Surface Temperature - (Measured in Kelvin) - Plate Surface Temperature is the temperature at the surface of the plate.
STEP 1: Convert Input(s) to Base Unit
Density of Liquid Film: 96 Kilogram per Cubic Meter --> 96 Kilogram per Cubic Meter No Conversion Required
Density of Vapor: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
Latent Heat of Vaporization: 2260000 Joule per Kilogram --> 2260000 Joule per Kilogram No Conversion Required
Thermal Conductivity of Film Condensate: 0.67 Watt per Meter per K --> 0.67 Watt per Meter per K No Conversion Required
Diameter of Sphere: 9.72 Meter --> 9.72 Meter No Conversion Required
Viscosity of Film: 0.029 Newton Second per Square Meter --> 0.029 Pascal Second (Check conversion ​here)
Saturation Temperature: 373 Kelvin --> 373 Kelvin No Conversion Required
Plate Surface Temperature: 82 Kelvin --> 82 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h ̅ = 0.815*((ρf*(ρfv)*[g]*hfg*(kf^3))/(DSpheref*(TSat-Tw)))^(0.25) --> 0.815*((96*(96-0.5)*[g]*2260000*(0.67^3))/(9.72*0.029*(373-82)))^(0.25)
Evaluating ... ...
h ̅ = 134.648130422893
STEP 3: Convert Result to Output's Unit
134.648130422893 Watt per Square Meter per Kelvin --> No Conversion Required
FINAL ANSWER
134.648130422893 134.6481 Watt per Square Meter per Kelvin <-- Average Heat Transfer Coefficient
(Calculation completed in 00.013 seconds)

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Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux Calculators

Condensation Number given Reynolds Number
​ LaTeX ​ Go Condensation Number = ((Constant for Condensation Number)^(4/3))*(((4*sin(Inclination Angle)*((Cross Sectional Area of Flow/Wetted Perimeter)))/(Length of Plate))^(1/3))*((Reynolds Number of Film)^(-1/3))
Condensation Number
​ LaTeX ​ Go Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3))
Condensation Number for Horizontal Cylinder
​ LaTeX ​ Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
​ LaTeX ​ Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Condensation Calculators

Condensation Number
​ LaTeX ​ Go Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3))
Film Thickness given Mass Flow of Condensate
​ LaTeX ​ Go Film Thickness = ((3*Viscosity of Film*Mass Flow Rate)/(Density of Liquid*(Density of Liquid-Density of Vapor)*[g]))^(1/3)
Condensation Number for Horizontal Cylinder
​ LaTeX ​ Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
​ LaTeX ​ Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere Formula

​LaTeX ​Go
Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25)
h ̅ = 0.815*((ρf*(ρf-ρv)*[g]*hfg*(kf^3))/(DSphere*μf*(TSat-Tw)))^(0.25)

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 Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere?

Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere calculator uses Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25) to calculate the Average Heat Transfer Coefficient, The Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere formula is a function of latent heat, thermal conductivity, acceleration due to gravity, density of liquid film & vapor, diameter, viscosity of film, saturated temp and temperature of plate. Average Heat Transfer Coefficient is denoted by h ̅ symbol.

How to calculate Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere using this online calculator? To use this online calculator for Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere, enter Density of Liquid Film f), Density of Vapor v), Latent Heat of Vaporization (hfg), Thermal Conductivity of Film Condensate (kf), Diameter of Sphere (DSphere), Viscosity of Film f), Saturation Temperature (TSat) & Plate Surface Temperature (Tw) and hit the calculate button. Here is how the Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere calculation can be explained with given input values -> 134.6481 = 0.815*((96*(96-0.5)*[g]*2260000*(0.67^3))/(9.72*0.029*(373-82)))^(0.25).

FAQ

What is Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere?
The Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere formula is a function of latent heat, thermal conductivity, acceleration due to gravity, density of liquid film & vapor, diameter, viscosity of film, saturated temp and temperature of plate and is represented as h ̅ = 0.815*((ρf*(ρfv)*[g]*hfg*(kf^3))/(DSpheref*(TSat-Tw)))^(0.25) or Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25). Density of Liquid Film is defined as the density of the liquid film which is considered for film condensation, The Density of Vapor is the mass of a unit volume of a material substance, Latent Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure, Thermal Conductivity of Film Condensate is defined as the ability of the film to conduct heat, Diameter of Sphere is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere, Viscosity of Film is a measure of its resistance to deformation at a given rate, Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure & Plate Surface Temperature is the temperature at the surface of the plate.
How to calculate Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere?
The Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere formula is a function of latent heat, thermal conductivity, acceleration due to gravity, density of liquid film & vapor, diameter, viscosity of film, saturated temp and temperature of plate is calculated using Average Heat Transfer Coefficient = 0.815*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Sphere*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25). To calculate Average Heat Transfer Coefficient for Laminar Film Condensation on Outside of Sphere, you need Density of Liquid Film f), Density of Vapor v), Latent Heat of Vaporization (hfg), Thermal Conductivity of Film Condensate (kf), Diameter of Sphere (DSphere), Viscosity of Film f), Saturation Temperature (TSat) & Plate Surface Temperature (Tw). With our tool, you need to enter the respective value for Density of Liquid Film, Density of Vapor, Latent Heat of Vaporization, Thermal Conductivity of Film Condensate, Diameter of Sphere, Viscosity of Film, Saturation Temperature & Plate Surface Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Average Heat Transfer Coefficient?
In this formula, Average Heat Transfer Coefficient uses Density of Liquid Film, Density of Vapor, Latent Heat of Vaporization, Thermal Conductivity of Film Condensate, Diameter of Sphere, Viscosity of Film, Saturation Temperature & Plate Surface Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Average Heat Transfer Coefficient = 0.555*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Corrected Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Length of Plate*Diameter of Tube*(Saturation Temperature-Plate Surface Temperature)))^(0.25)
  • Average Heat Transfer Coefficient = 1.13*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Length of Plate*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25)
  • Average Heat Transfer Coefficient = 0.725*((Density of Liquid Film*(Density of Liquid Film-Density of Vapor)*[g]*Latent Heat of Vaporization*(Thermal Conductivity of Film Condensate^3))/(Diameter of Tube*Viscosity of Film*(Saturation Temperature-Plate Surface Temperature)))^(0.25)
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