Heat flux to nucleate pool boiling Calculator

✖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%
✖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%
✖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%
✖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%

✖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 to nucleate pool boiling [Q]

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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*(([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
Q = μ_f*∆H*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*∆H*(Pr)^1.7))^3.0
This formula uses 1 Constants, 10 Variables

Constants Used

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

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.
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 - 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
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 = μ_f*∆H*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*∆H*(Pr)^1.7))^3.0 --> 8*500*(([g]*(4-0.5))/(21.8))^0.5*((3*12)/(0.55*500*(0.7)^1.7))^3.0

Evaluating ... ...

Q = 69.4281385117412

STEP 3: Convert Result to Output's Unit

69.4281385117412 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

69.4281385117412 ≈ 69.42814 Watt per Square Meter <-- 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

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 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*(([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 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 (μ_f), Change in Enthalpy of Vaporization (∆H), 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 Heat flux to nucleate pool boiling calculation can be explained with given input values -> 69.42814 = 8*500*(([g]*(4-0.5))/(21.8))^0.5*((3*12)/(0.55*500*(0.7)^1.7))^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 = μ_f*∆H*(([g]*(ρ_l-ρ_v))/(Y))^0.5*((C_l*ΔT)/(C_s*∆H*(Pr)^1.7))^3.0 or 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. 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, 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 & 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*(([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. To calculate Heat flux to nucleate pool boiling, you need Dynamic Viscosity of Fluid (μ_f), Change in Enthalpy of Vaporization (∆H), 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 Dynamic Viscosity of Fluid, Change in Enthalpy of Vaporization, 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.

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