Maximum heat flux to nucleate pool boiling Calculator

✖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%
✖Thermal Conductivity of Liquid is defined as the transport of energy due to random molecular motion across a temperature gradient.ⓘ Thermal Conductivity of Liquid [k_l]			+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%
✖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%
✖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%
✖Excess Temperature is defined as the temperature difference between heat source and saturation temperature of the fluid.ⓘ Excess Temperature [ΔT]			+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%
✖Temperature of Fluid is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Fluid [T_f]			+10% -10%

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

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Maximum heat flux to nucleate pool boiling Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
Q_m = (1.464*10^-9)*((C_l*k_l^2*ρ_l^0.5*(ρ_l-ρ_v))/(ρ_v*∆H*μ_f^0.5))^0.5*((∆H*ρ_v*ΔT)/(Y*T_f))^2.3
This formula uses 10 Variables

Variables Used

Maximum Heat Flux - (Measured in Watt per Square Meter) - Maximum 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: 1.55 Kelvin --> 1.55 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_m = (1.464*10^-9)*((C_l*k_l^2*ρ_l^0.5*(ρ_l-ρ_v))/(ρ_v*∆H*μ_f^0.5))^0.5*((∆H*ρ_v*ΔT)/(Y*T_f))^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*1.55))^2.3

Evaluating ... ...

Q_m = 0.00290307238340075

STEP 3: Convert Result to Output's Unit

0.00290307238340075 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

0.00290307238340075 ≈ 0.002903 Watt per Square Meter <-- Maximum Heat Flux

(Calculation completed in 00.004 seconds)

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

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< Boiling Calculators

Heat flux to nucleate pool boiling

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

Maximum heat flux to nucleate pool boiling Formula

LaTeX Go

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 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 to calculate the Maximum Heat Flux, Maximum heat flux to nucleate pool boiling also known as the critical heat flux (CHF) or the Leidenfrost point, is a crucial parameter in boiling heat transfer. It represents the peak heat flux at which the liquid can efficiently boil and maintain stable contact with the heated surface before transitioning to film boiling, where the heat transfer becomes less efficient due to the formation of a vapor film. Maximum Heat Flux is denoted by Q_m 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 (C_l), Thermal Conductivity of Liquid (k_l), Density of Liquid (ρ_l), Density of Vapour (ρ_v), Change in Enthalpy of Vaporization (∆H), Dynamic Viscosity of Fluid (μ_f), Excess Temperature (ΔT), Surface Tension (Y) & Temperature of Fluid (T_f) and hit the calculate button. Here is how the Maximum heat flux to nucleate pool boiling calculation can be explained with given input values -> 0.002903 = (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*1.55))^2.3.

FAQ

What is Maximum heat flux to nucleate pool boiling?

Maximum heat flux to nucleate pool boiling also known as the critical heat flux (CHF) or the Leidenfrost point, is a crucial parameter in boiling heat transfer. It represents the peak heat flux at which the liquid can efficiently boil and maintain stable contact with the heated surface before transitioning to film boiling, where the heat transfer becomes less efficient due to the formation of a vapor film and is represented as Q_m = (1.464*10^-9)*((C_l*k_l^2*ρ_l^0.5*(ρ_l-ρ_v))/(ρ_v*∆H*μ_f^0.5))^0.5*((∆H*ρ_v*ΔT)/(Y*T_f))^2.3 or 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. 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?

Maximum heat flux to nucleate pool boiling also known as the critical heat flux (CHF) or the Leidenfrost point, is a crucial parameter in boiling heat transfer. It represents the peak heat flux at which the liquid can efficiently boil and maintain stable contact with the heated surface before transitioning to film boiling, where the heat transfer becomes less efficient due to the formation of a vapor film is calculated using 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. To calculate Maximum heat flux to nucleate pool boiling, you need Specific Heat of Liquid (C_l), Thermal Conductivity of Liquid (k_l), Density of Liquid (ρ_l), Density of Vapour (ρ_v), Change in Enthalpy of Vaporization (∆H), Dynamic Viscosity of Fluid (μ_f), Excess Temperature (ΔT), Surface Tension (Y) & Temperature of Fluid (T_f). 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.

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