Maximum heat flux to nucleate pool boiling Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Q = (1.464*10^-9)*(((Cl*(kl^2)*(ρl^0.5)*(ρl-ρv))/(ρv*∆H*μf^0.5))^0.5)*(((∆H*ρv*ΔT)/(Y*Tf))^2.3)
This formula uses 10 Variables
Variables Used
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".
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.
Thermal Conductivity of Liquid - (Measured in Watt per Meter per K) - Thermal conductivity of liquid is defined as the transport of energy due to random molecular motion across a temperature gradient.
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.
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.
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.
Excess Temperature - (Measured in Kelvin) - Excess temperature is defined as the temperature difference between heat source and saturation temperature of the fluid.
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.
Temperature of Fluid - (Measured in Kelvin) - Temperature of Fluid is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Specific Heat of Liquid: 3 Joule per Kilogram per K --> 3 Joule per Kilogram per K No Conversion Required
Thermal Conductivity of Liquid: 380 Watt per Meter per K --> 380 Watt per Meter per K 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
Change in Enthalpy of Vaporization: 500 Joule Per Mole --> 500 Joule Per Mole No Conversion Required
Dynamic Viscosity of Fluid: 8 Pascal Second --> 8 Pascal Second No Conversion Required
Excess Temperature: 12 Kelvin --> 12 Kelvin No Conversion Required
Surface Tension: 21.8 Newton per Meter --> 21.8 Newton per Meter No Conversion Required
Temperature of Fluid: 30 Kelvin --> 30 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (1.464*10^-9)*(((Cl*(kl^2)*(ρl^0.5)*(ρlv))/(ρv*∆H*μf^0.5))^0.5)*(((∆H*ρv*ΔT)/(Y*Tf))^2.3) --> (1.464*10^-9)*(((3*(380^2)*(4^0.5)*(4-0.5))/(0.5*500*8^0.5))^0.5)*(((500*0.5*12)/(21.8*30))^2.3)
Evaluating ... ...
Q = 3.18597148397543E-06
STEP 3: Convert Result to Output's Unit
3.18597148397543E-06 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
3.18597148397543E-06 3.2E-6 Watt per Square Meter <-- Heat Flux
(Calculation completed in 00.020 seconds)

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

Maximum heat flux to nucleate pool boiling
Go 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*Acceleration due to Gravity*(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*(((Acceleration due to Gravity*(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))^3.0)
Enthalpy of evaporation to nucleate pool boiling
Go Change in Enthalpy of Vaporization = ((1/Heat Flux)*Dynamic Viscosity of Fluid*((Acceleration due to Gravity*(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 = Heat Flux/(0.18*Density of Vapour*(((Surface Tension*Acceleration due to Gravity*(Density of Liquid-Density of Vapour))/(Density of Vapour^2))^0.25))
Critical heat flux to nucleate pool boiling
Go Heat Flux = 0.18*Change in Enthalpy of Vaporization*Density of Vapour*((Surface Tension*Acceleration due to Gravity*(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

Maximum heat flux to nucleate pool boiling Formula

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)
Q = (1.464*10^-9)*(((Cl*(kl^2)*(ρl^0.5)*(ρl-ρv))/(ρv*∆H*μf^0.5))^0.5)*(((∆H*ρv*ΔT)/(Y*Tf))^2.3)

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 Maximum heat flux to nucleate pool boiling?

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

How to calculate Maximum heat flux to nucleate pool boiling using this online calculator? To use this online calculator for Maximum heat flux to nucleate pool boiling, enter Specific Heat of Liquid (Cl), Thermal Conductivity of Liquid (kl), Density of Liquid l), Density of Vapour v), Change in Enthalpy of Vaporization (∆H), Dynamic Viscosity of Fluid f), Excess Temperature (ΔT), Surface Tension (Y) & Temperature of Fluid (Tf) and hit the calculate button. Here is how the Maximum heat flux to nucleate pool boiling calculation can be explained with given input values -> 3.2E-6 = (1.464*10^-9)*(((3*(380^2)*(4^0.5)*(4-0.5))/(0.5*500*8^0.5))^0.5)*(((500*0.5*12)/(21.8*30))^2.3).

FAQ

What is Maximum heat flux to nucleate pool boiling?
The Maximum 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 = (1.464*10^-9)*(((Cl*(kl^2)*(ρl^0.5)*(ρlv))/(ρv*∆H*μf^0.5))^0.5)*(((∆H*ρv*ΔT)/(Y*Tf))^2.3) or 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). Specific heat of Liquid is the amount of heat per unit mass required to raise the temperature by one degree Celsius, Thermal conductivity of liquid is defined as the transport of energy due to random molecular motion across a temperature gradient, 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, 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, Dynamic viscosity of fluid is the resistance to movement of one layer of a fluid over another, Excess temperature is defined as the temperature difference between heat source and saturation temperature of the fluid, Surface Tension is the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules & Temperature of Fluid is the degree or intensity of heat present in a substance or object.
How to calculate Maximum heat flux to nucleate pool boiling?
The Maximum heat flux to nucleate pool boiling formula is defined as the amount of heat energy passing through a certain surface is calculated using 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). To calculate Maximum heat flux to nucleate pool boiling, you need Specific Heat of Liquid (Cl), Thermal Conductivity of Liquid (kl), Density of Liquid l), Density of Vapour v), Change in Enthalpy of Vaporization (∆H), Dynamic Viscosity of Fluid f), Excess Temperature (ΔT), Surface Tension (Y) & Temperature of Fluid (Tf). With our tool, you need to enter the respective value for Specific Heat of Liquid, Thermal Conductivity of Liquid, Density of Liquid, Density of Vapour, Change in Enthalpy of Vaporization, Dynamic Viscosity of Fluid, Excess Temperature, Surface Tension & Temperature of Fluid 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 Heat Flux?
In this formula, Heat Flux uses Specific Heat of Liquid, Thermal Conductivity of Liquid, Density of Liquid, Density of Vapour, Change in Enthalpy of Vaporization, Dynamic Viscosity of Fluid, Excess Temperature, Surface Tension & Temperature of Fluid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Heat Flux = Dynamic Viscosity of Fluid*Change in Enthalpy of Vaporization*(((Acceleration due to Gravity*(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))^3.0)
  • Heat Flux = 0.18*Change in Enthalpy of Vaporization*Density of Vapour*((Surface Tension*Acceleration due to Gravity*(Density of Liquid-Density of Vapour))/(Density of Vapour^2))^0.25
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