Heat flux to nucleate pool boiling Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Q = μf*∆H*(((g*(ρl-ρv))/(Y))^0.5)*(((Cl*ΔT)/(Cs*∆H*Pr))^3.0)
This formula uses 11 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".
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.
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
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
Dynamic Viscosity of Fluid: 8 Pascal Second --> 8 Pascal Second No Conversion Required
Change in Enthalpy of Vaporization: 500 Joule Per Mole --> 500 Joule Per Mole No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square 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
Q = μf*∆H*(((g*(ρlv))/(Y))^0.5)*(((Cl*ΔT)/(Cs*∆H*Pr))^3.0) --> 8*500*(((9.8*(4-0.5))/(21.8))^0.5)*(((3*12)/(0.55*500*0.7))^3.0)
Evaluating ... ...
Q = 32.8166394307559
STEP 3: Convert Result to Output's Unit
32.8166394307559 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
32.8166394307559 32.81664 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

Heat flux to nucleate pool boiling Formula

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)
Q = μf*∆H*(((g*(ρl-ρv))/(Y))^0.5)*(((Cl*ΔT)/(Cs*∆H*Pr))^3.0)

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 Heat flux to nucleate pool boiling?

Heat flux to nucleate pool boiling calculator uses 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) to calculate the Heat Flux, The 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 Heat flux to nucleate pool boiling using this online calculator? To use this online calculator for Heat flux to nucleate pool boiling, enter Dynamic Viscosity of Fluid f), Change in Enthalpy of Vaporization (∆H), Acceleration due to Gravity (g), Density of Liquid l), Density of Vapour v), Surface Tension (Y), Specific Heat of Liquid (Cl), Excess Temperature (ΔT), Constant in nucleate boiling (Cs) & Prandtl Number (Pr) and hit the calculate button. Here is how the Heat flux to nucleate pool boiling calculation can be explained with given input values -> 32.81664 = 8*500*(((9.8*(4-0.5))/(21.8))^0.5)*(((3*12)/(0.55*500*0.7))^3.0).

FAQ

What is Heat flux to nucleate pool boiling?
The 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 = μf*∆H*(((g*(ρlv))/(Y))^0.5)*(((Cl*ΔT)/(Cs*∆H*Pr))^3.0) or 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). Dynamic viscosity of fluid is the resistance to movement of one layer of a fluid over another, 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, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 Heat flux to nucleate pool boiling?
The 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 = 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). To calculate Heat flux to nucleate pool boiling, you need Dynamic Viscosity of Fluid f), Change in Enthalpy of Vaporization (∆H), Acceleration due to Gravity (g), Density of Liquid l), Density of Vapour v), Surface Tension (Y), Specific Heat of Liquid (Cl), Excess Temperature (ΔT), Constant in nucleate boiling (Cs) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Dynamic Viscosity of Fluid, Change in Enthalpy of Vaporization, Acceleration due to Gravity, 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 Heat Flux?
In this formula, Heat Flux uses Dynamic Viscosity of Fluid, Change in Enthalpy of Vaporization, Acceleration due to Gravity, Density of Liquid, Density of Vapour, Surface Tension, Specific Heat of Liquid, Excess Temperature, Constant in nucleate boiling & Prandtl Number. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 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)
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