Enthalpy of evaporation to nucleate pool boiling Calculator

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Convection

Basics of HMT

Conduction

Convective Mass Transfer

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✖Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".ⓘ Heat Flux [Q]			+10% -10%
✖Dynamic viscosity of fluid is the resistance to movement of one layer of a fluid over another.ⓘ Dynamic Viscosity of Fluid [μ_f]			+10% -10%
✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ_l]			+10% -10%
✖The Density of Vapour is the mass of a unit volume of a material substance.ⓘ Density of Vapour [ρ_v]			+10% -10%
✖Surface Tension is the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.ⓘ Surface Tension [Y]			+10% -10%
✖Specific heat of Liquid is the amount of heat per unit mass required to raise the temperature by one degree Celsius.ⓘ Specific Heat of Liquid [C_l]			+10% -10%
✖Excess temperature is defined as the temperature difference between heat source and saturation temperature of the fluid.ⓘ Excess Temperature [ΔT]			+10% -10%
✖Constant in nucleate boiling is a constant term used in the nucleate pool boiling equation.ⓘ Constant in nucleate boiling [C_s]			+10% -10%
✖The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.ⓘ Prandtl Number [Pr]			+10% -10%

✖Change in Enthalpy of Vaporization is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.ⓘ Enthalpy of evaporation to nucleate pool boiling [∆H]

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Formula

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Enthalpy of evaporation to nucleate pool boiling

Formula

`"∆H" = ((1/"Q")*"μ"_{"f"}*(("[g]"*("ρ"_{"l"}-"ρ"_{"v"}))/("Y"))^0.5*(("C"_{"l"}*"ΔT")/("C"_{"s"}*("Pr")^1.7))^3)^0.5`

Example

`"500J/mol"=((1/"69.4281385117412W/m²")*"8Pa*s"*(("[g]"*("4kg/m³"-"0.5kg/m³"))/("21.8N/m"))^0.5*(("3J/(kg*K)"*"12K")/("0.55"*("0.7")^1.7))^3)^0.5`

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Enthalpy of evaporation to nucleate pool boiling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*(([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5*((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*(Prandtl Number)^1.7))^3)^0.5
∆H = ((1/Q)*μ_f*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*(Pr)^1.7))^3)^0.5
This formula uses 1 Constants, 10 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Change in Enthalpy of Vaporization - (Measured in Joule Per Mole) - Change in Enthalpy of Vaporization is the amount of energy (enthalpy) that must be added to a liquid substance to transform a quantity of that substance into a gas.
Heat Flux - (Measured in Watt per Square Meter) - Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".
Dynamic Viscosity of Fluid - (Measured in Pascal Second) - Dynamic viscosity of fluid is the resistance to movement of one layer of a fluid over another.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.
Density of Vapour - (Measured in Kilogram per Cubic Meter) - The Density of Vapour is the mass of a unit volume of a material substance.
Surface Tension - (Measured in Newton per Meter) - Surface Tension is the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.
Specific Heat of Liquid - (Measured in Joule per Kilogram per K) - Specific heat of Liquid is the amount of heat per unit mass required to raise the temperature by one degree Celsius.
Excess Temperature - (Measured in Kelvin) - Excess temperature is defined as the temperature difference between heat source and saturation temperature of the fluid.
Constant in nucleate boiling - Constant in nucleate boiling is a constant term used in the nucleate pool boiling equation.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

STEP 1: Convert Input(s) to Base Unit

Heat Flux: 69.4281385117412 Watt per Square Meter --> 69.4281385117412 Watt per Square Meter No Conversion Required
Dynamic Viscosity of Fluid: 8 Pascal Second --> 8 Pascal Second No Conversion Required
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required
Density of Vapour: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
Surface Tension: 21.8 Newton per Meter --> 21.8 Newton per Meter No Conversion Required
Specific Heat of Liquid: 3 Joule per Kilogram per K --> 3 Joule per Kilogram per K No Conversion Required
Excess Temperature: 12 Kelvin --> 12 Kelvin No Conversion Required
Constant in nucleate boiling: 0.55 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆H = ((1/Q)*μ_f*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*(Pr)^1.7))^3)^0.5 --> ((1/69.4281385117412)*8*(([g]*(4-0.5))/(21.8))^0.5*((3*12)/(0.55*(0.7)^1.7))^3)^0.5

Evaluating ... ...

∆H = 500

STEP 3: Convert Result to Output's Unit

500 Joule Per Mole --> No Conversion Required

FINAL ANSWER

500 Joule Per Mole <-- Change in Enthalpy of Vaporization

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Boiling » Enthalpy of evaporation to nucleate pool boiling

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< 11 Boiling Calculators

Maximum heat flux to nucleate pool boiling

Go Maximum Heat Flux = (1.464*10^-9)*(((Specific Heat of Liquid*(Thermal Conductivity of Liquid^2)*(Density of Liquid^0.5)*(Density of Liquid-Density of Vapour))/(Density of Vapour*Change in Enthalpy of Vaporization*Dynamic Viscosity of Fluid^0.5))^0.5)*(((Change in Enthalpy of Vaporization*Density of Vapour*Excess Temperature)/(Surface Tension*Temperature of Fluid))^2.3)

Heat transfer coefficient by convection for stable film boiling

Go Heat Transfer Coefficient by Convection = 0.62*((Thermal Conductivity of Vapor^3*Density of Vapour*[g]*(Density of Liquid-Density of Vapour)*(Change in Enthalpy of Vaporization+(0.68*Specific Heat of Vapour)*Excess Temperature))/(Dynamic Viscosity of Vapour*Diameter*Excess Temperature))^0.25

Heat flux to nucleate pool boiling

Go Heat Flux = Dynamic Viscosity of Fluid*Change in Enthalpy of Vaporization*((([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5)*(((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*Change in Enthalpy of Vaporization*(Prandtl Number)^1.7))^3.0)

Enthalpy of evaporation to nucleate pool boiling

Go Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*(([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5*((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*(Prandtl Number)^1.7))^3)^0.5

Enthalpy of evaporation given critical heat flux

Go Change in Enthalpy of Vaporization = Critical Heat Flux/(0.18*Density of Vapour*(((Surface Tension*[g]*(Density of Liquid-Density of Vapour))/(Density of Vapour^2))^0.25))

Critical heat flux to nucleate pool boiling

Go Critical Heat Flux = 0.18*Change in Enthalpy of Vaporization*Density of Vapour*((Surface Tension*[g]*(Density of Liquid-Density of Vapour))/(Density of Vapour^2))^0.25

Heat transfer coefficient due to radiation for horizontal tubes

Go Heat Transfer Coefficient by Radiation = [Stefan-BoltZ]*Emissivity*(((Wall Temperature^4)-(Saturation Temperature^4))/(Wall Temperature-Saturation Temperature))

Emissivity given heat transfer coefficient by radiation

Go Emissivity = Heat Transfer Coefficient by Radiation/([Stefan-BoltZ]*((Wall Temperature^4-Saturation Temperature^4)/(Wall Temperature-Saturation Temperature)))

Heat transfer coefficient by radiation

Go Heat Transfer Coefficient by Radiation = (Heat Transfer Coefficient by Boiling-Heat Transfer Coefficient by Convection)/0.75

Heat transfer coefficient in film boiling

Go Heat Transfer Coefficient by Boiling = Heat Transfer Coefficient by Convection+0.75*Heat Transfer Coefficient by Radiation

Heat transfer coefficient for convection

Go Heat Transfer Coefficient by Convection = Heat Transfer Coefficient by Boiling-0.75*Heat Transfer Coefficient by Radiation

Enthalpy of evaporation to nucleate pool boiling Formula

What is boiling

Boiling is the rapid vaporization of a liquid, which occurs when a liquid is heated to its boiling point, the temperature at which the vapour pressure of the liquid is equal to the pressure exerted on the liquid by the surrounding atmosphere.

How to Calculate Enthalpy of evaporation to nucleate pool boiling?

Enthalpy of evaporation to nucleate pool boiling calculator uses Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*(([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5*((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*(Prandtl Number)^1.7))^3)^0.5 to calculate the Change in Enthalpy of Vaporization, Enthalpy of evaporation to nucleate pool boiling formula is defined as amount of energy (enthalpy) that must be added to a liquid substance, to transform a quantity of that substance into a gas. Change in Enthalpy of Vaporization is denoted by ∆H symbol.

How to calculate Enthalpy of evaporation to nucleate pool boiling using this online calculator? To use this online calculator for Enthalpy of evaporation to nucleate pool boiling, enter Heat Flux (Q), Dynamic Viscosity of Fluid (μ_f), Density of Liquid (ρ_l), Density of Vapour (ρ_v), Surface Tension (Y), Specific Heat of Liquid (C_l), Excess Temperature (ΔT), Constant in nucleate boiling (C_s) & Prandtl Number (Pr) and hit the calculate button. Here is how the Enthalpy of evaporation to nucleate pool boiling calculation can be explained with given input values -> 727.1384 = ((1/69.4281385117412)*8*(([g]*(4-0.5))/(21.8))^0.5*((3*12)/(0.55*(0.7)^1.7))^3)^0.5.

FAQ

What is Enthalpy of evaporation to nucleate pool boiling?

Enthalpy of evaporation to nucleate pool boiling formula is defined as amount of energy (enthalpy) that must be added to a liquid substance, to transform a quantity of that substance into a gas and is represented as ∆H = ((1/Q)*μ_f*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*(Pr)^1.7))^3)^0.5 or Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*(([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5*((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*(Prandtl Number)^1.7))^3)^0.5. Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q", Dynamic viscosity of fluid is the resistance to movement of one layer of a fluid over another, Density of Liquid is mass of a unit volume of a material substance, The Density of Vapour is the mass of a unit volume of a material substance, Surface Tension is the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules, Specific heat of Liquid is the amount of heat per unit mass required to raise the temperature by one degree Celsius, Excess temperature is defined as the temperature difference between heat source and saturation temperature of the fluid, Constant in nucleate boiling is a constant term used in the nucleate pool boiling equation & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.

How to calculate Enthalpy of evaporation to nucleate pool boiling?

Enthalpy of evaporation to nucleate pool boiling formula is defined as amount of energy (enthalpy) that must be added to a liquid substance, to transform a quantity of that substance into a gas is calculated using Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*(([g]*(Density of Liquid-Density of Vapour))/(Surface Tension))^0.5*((Specific Heat of Liquid*Excess Temperature)/(Constant in nucleate boiling*(Prandtl Number)^1.7))^3)^0.5. To calculate Enthalpy of evaporation to nucleate pool boiling, you need Heat Flux (Q), Dynamic Viscosity of Fluid (μ_f), Density of Liquid (ρ_l), Density of Vapour (ρ_v), Surface Tension (Y), Specific Heat of Liquid (C_l), Excess Temperature (ΔT), Constant in nucleate boiling (C_s) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Heat Flux, Dynamic Viscosity of Fluid, Density of Liquid, Density of Vapour, Surface Tension, Specific Heat of Liquid, Excess Temperature, Constant in nucleate boiling & Prandtl Number 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 Change in Enthalpy of Vaporization?

In this formula, Change in Enthalpy of Vaporization uses Heat Flux, Dynamic Viscosity of Fluid, Density of Liquid, Density of Vapour, Surface Tension, Specific Heat of Liquid, Excess Temperature, Constant in nucleate boiling & Prandtl Number. We can use 1 other way(s) to calculate the same, which is/are as follows -

Change in Enthalpy of Vaporization = Critical Heat Flux/(0.18*Density of Vapour*(((Surface Tension*[g]*(Density of Liquid-Density of Vapour))/(Density of Vapour^2))^0.25))

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