Critical heat flux to nucleate pool boiling Calculator

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Convection

Basics of HMT

Conduction

Convective Mass Transfer

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✖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.ⓘ Change in Enthalpy of Vaporization [∆H]			+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%
✖Density of Liquid is mass of a unit volume of a material substance.ⓘ Density of Liquid [ρ_l]			+10% -10%

✖Critical Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".ⓘ Critical heat flux to nucleate pool boiling [Q_c]

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Formula

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Critical heat flux to nucleate pool boiling

Formula

`"Q"_{"c"} = 0.18*"∆H"*"ρ"_{"v"}*(("Y"*"[g]"*("ρ"_{"l"}-"ρ"_{"v"}))/("ρ"_{"v"}^2))^0.25`

Example

`"332.8425W/m²"=0.18*"500J/mol"*"0.5kg/m³"*(("21.8N/m"*"[g]"*("4kg/m³"-"0.5kg/m³"))/(("0.5kg/m³")^2))^0.25`

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Critical heat flux to nucleate pool boiling Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Q_c = 0.18*∆H*ρ_v*((Y*[g]*(ρ_l-ρ_v))/(ρ_v^2))^0.25
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Critical Heat Flux - (Measured in Watt per Square Meter) - Critical Heat Flux is the heat transfer rate per unit area normal to the direction of heat flow. It is denoted by the letter "q".
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.
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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - Density of Liquid is mass of a unit volume of a material substance.

STEP 1: Convert Input(s) to Base Unit

Change in Enthalpy of Vaporization: 500 Joule Per Mole --> 500 Joule Per Mole 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
Density of Liquid: 4 Kilogram per Cubic Meter --> 4 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_c = 0.18*∆H*ρ_v*((Y*[g]*(ρ_l-ρ_v))/(ρ_v^2))^0.25 --> 0.18*500*0.5*((21.8*[g]*(4-0.5))/(0.5^2))^0.25

Evaluating ... ...

Q_c = 332.842530370989

STEP 3: Convert Result to Output's Unit

332.842530370989 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

332.842530370989 ≈ 332.8425 Watt per Square Meter <-- Critical Heat Flux

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convection » Boiling » Critical heat flux to nucleate pool boiling

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Created by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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Verified by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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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

Critical heat flux 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 Critical heat flux to nucleate pool boiling?

Critical heat flux to nucleate pool boiling calculator uses 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 to calculate the Critical Heat Flux, The Critical heat flux to nucleate pool boiling formula is defined as the amount of heat energy passing through a certain surface. Critical Heat Flux is denoted by Q_c symbol.

How to calculate Critical heat flux to nucleate pool boiling using this online calculator? To use this online calculator for Critical heat flux to nucleate pool boiling, enter Change in Enthalpy of Vaporization (∆H), Density of Vapour (ρ_v), Surface Tension (Y) & Density of Liquid (ρ_l) and hit the calculate button. Here is how the Critical heat flux to nucleate pool boiling calculation can be explained with given input values -> 332.8425 = 0.18*500*0.5*((21.8*[g]*(4-0.5))/(0.5^2))^0.25.

FAQ

What is Critical heat flux to nucleate pool boiling?

The Critical heat flux to nucleate pool boiling formula is defined as the amount of heat energy passing through a certain surface and is represented as Q_c = 0.18*∆H*ρ_v*((Y*[g]*(ρ_l-ρ_v))/(ρ_v^2))^0.25 or 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. 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, 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 & Density of Liquid is mass of a unit volume of a material substance.

How to calculate Critical heat flux to nucleate pool boiling?

The Critical heat flux to nucleate pool boiling formula is defined as the amount of heat energy passing through a certain surface is calculated using 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. To calculate Critical heat flux to nucleate pool boiling, you need Change in Enthalpy of Vaporization (∆H), Density of Vapour (ρ_v), Surface Tension (Y) & Density of Liquid (ρ_l). With our tool, you need to enter the respective value for Change in Enthalpy of Vaporization, Density of Vapour, Surface Tension & Density of Liquid 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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