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Maximum heat flux to nucleate pool boiling Formula

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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". Check FAQs

Q m = (1.464 \cdot 10^{- 9}) \cdot {(\frac{C l \cdot {k l}^{2} \cdot {ρ l}^{0.5} \cdot (ρ l - ρ v)}{ρ v \cdot ∆H \cdot {μ f}^{0.5}})}^{0.5} \cdot {(\frac{∆H \cdot ρ v \cdot ΔT}{Y \cdot T f})}^{2.3}

Q_m - Maximum Heat Flux?C_l - Specific Heat of Liquid?k_l - Thermal Conductivity of Liquid?ρ_l - Density of Liquid?ρ_v - Density of Vapour?∆H - Change in Enthalpy of Vaporization?μ_f - Dynamic Viscosity of Fluid?ΔT - Excess Temperature?Y - Surface Tension?T_f - Temperature of Fluid?

Maximum heat flux to nucleate pool boiling Example

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Here is how the Maximum heat flux to nucleate pool boiling equation looks like with Values.

Here is how the Maximum heat flux to nucleate pool boiling equation looks like with Units.

Here is how the Maximum heat flux to nucleate pool boiling equation looks like.

0.0029 = (1.464 \cdot 10^{- 9}) \cdot {(\frac{3 \cdot 380^{2} \cdot 4^{0.5} \cdot (4 - 0.5)}{0.5 \cdot 500 \cdot 8^{0.5}})}^{0.5} \cdot {(\frac{500 \cdot 0.5 \cdot 12}{21.8 \cdot 1.55})}^{2.3}

0.0029W/m² = (1.464 \cdot 10^{- 9}) \cdot {(\frac{3J/(kg*K) \cdot {380W/(m*K)}^{2} \cdot {4kg/m³}^{0.5} \cdot (4kg/m³ - 0.5kg/m³)}{0.5kg/m³ \cdot 500J/mol \cdot {8Pa*s}^{0.5}})}^{0.5} \cdot {(\frac{500J/mol \cdot 0.5kg/m³ \cdot 12K}{21.8N/m \cdot 1.55K})}^{2.3}

0.0029 = (1.464 \cdot 10^{- 9}) \cdot {(\frac{3 \cdot 380^{2} \cdot 4^{0.5} \cdot (4 - 0.5)}{0.5 \cdot 500 \cdot 8^{0.5}})}^{0.5} \cdot {(\frac{500 \cdot 0.5 \cdot 12}{21.8 \cdot 1.55})}^{2.3}

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Maximum heat flux to nucleate pool boiling Solution

Follow our step by step solution on how to calculate Maximum heat flux to nucleate pool boiling?

FIRST Step Consider the formula

Q m = (1.464 \cdot 10^{- 9}) \cdot {(\frac{C l \cdot {k l}^{2} \cdot {ρ l}^{0.5} \cdot (ρ l - ρ v)}{ρ v \cdot ∆H \cdot {μ f}^{0.5}})}^{0.5} \cdot {(\frac{∆H \cdot ρ v \cdot ΔT}{Y \cdot T f})}^{2.3}

Next Step Substitute values of Variables

∴

Q m = (1.464 \cdot 10^{- 9}) \cdot {(\frac{3J/(kg*K) \cdot {380W/(m*K)}^{2} \cdot {4kg/m³}^{0.5} \cdot (4kg/m³ - 0.5kg/m³)}{0.5kg/m³ \cdot 500J/mol \cdot {8Pa*s}^{0.5}})}^{0.5} \cdot {(\frac{500J/mol \cdot 0.5kg/m³ \cdot 12K}{21.8N/m \cdot 1.55K})}^{2.3}

Next Step Prepare to Evaluate

∴

Q m = (1.464 \cdot 10^{- 9}) \cdot {(\frac{3 \cdot 380^{2} \cdot 4^{0.5} \cdot (4 - 0.5)}{0.5 \cdot 500 \cdot 8^{0.5}})}^{0.5} \cdot {(\frac{500 \cdot 0.5 \cdot 12}{21.8 \cdot 1.55})}^{2.3}

Next Step Evaluate

∴

Q m = 0.00290307238340075W/m²

LAST Step Rounding Answer

∴

Q m = 0.0029W/m²

Maximum heat flux to nucleate pool boiling Formula Elements

Variables

Maximum Heat Flux

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".

Symbol: Q_m

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Maximum Heat Flux

Specific Heat of Liquid

Specific Heat of Liquid is the amount of heat per unit mass required to raise the temperature by one degree Celsius.

Symbol: C_l

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat of Liquid

Thermal Conductivity of Liquid

Thermal Conductivity of Liquid is defined as the transport of energy due to random molecular motion across a temperature gradient.

Symbol: k_l

Measurement: Thermal ConductivityUnit: W/(m*K)

Note: Value can be positive or negative.

Formulas to find Thermal Conductivity of Liquid

Density of Liquid

Density of Liquid is mass of a unit volume of a material substance.

Symbol: ρ_l

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Liquid

Density of Vapour

The Density of Vapour is the mass of a unit volume of a material substance.

Symbol: ρ_v

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Vapour

Change in Enthalpy of Vaporization

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.

Symbol: ∆H

Measurement: Energy Per MoleUnit: J/mol

Note: Value can be positive or negative.

Formulas to find Change in Enthalpy of Vaporization

Dynamic Viscosity of Fluid

Dynamic Viscosity of Fluid is the resistance to movement of one layer of a fluid over another.

Symbol: μ_f

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value can be positive or negative.

Formulas to find Dynamic Viscosity of Fluid

Excess Temperature

Excess Temperature is defined as the temperature difference between heat source and saturation temperature of the fluid.

Symbol: ΔT

Measurement: Temperature DifferenceUnit: K

Note: Value can be positive or negative.

Formulas to find Excess Temperature

Surface Tension

Surface Tension is the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Symbol: Y

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Surface Tension

Temperature of Fluid

Temperature of Fluid is the degree or intensity of heat present in a substance or object.

Symbol: T_f

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Fluid

Other formulas in Boiling category

Go Heat flux to nucleate pool boiling

Q = μ f \cdot ∆H \cdot {(\frac{[g] \cdot (ρ l - ρ v)}{Y})}^{0.5} \cdot {(\frac{C l \cdot ΔT}{C s \cdot ∆H \cdot {(Pr)}^{1.7}})}^{3.0}

Go Enthalpy of evaporation to nucleate pool boiling

∆H = {((\frac{1}{Q}) \cdot μ f \cdot {(\frac{[g] \cdot (ρ l - ρ v)}{Y})}^{0.5} \cdot {(\frac{C l \cdot ΔT}{C s \cdot {(Pr)}^{1.7}})}^{3})}^{0.5}

How to Evaluate Maximum heat flux to nucleate pool boiling?

Maximum heat flux to nucleate pool boiling evaluator 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 evaluate 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 evaluate Maximum heat flux to nucleate pool boiling using this online evaluator? To use this online evaluator 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.

FAQs on Maximum heat flux to nucleate pool boiling

What is the formula to find Maximum heat flux to nucleate pool boiling?

The formula of Maximum heat flux to nucleate pool boiling is expressed as 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. Here is an example- 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.

How to calculate Maximum heat flux to nucleate pool boiling?

With 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) we can find Maximum heat flux to nucleate pool boiling using the formula - 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.

Can the Maximum heat flux to nucleate pool boiling be negative?

Yes, the Maximum heat flux to nucleate pool boiling, measured in Heat Flux Density can be negative.

Which unit is used to measure Maximum heat flux to nucleate pool boiling?

Maximum heat flux to nucleate pool boiling is usually measured using the Watt per Square Meter[W/m²] for Heat Flux Density. Kilowatt per Square Meter[W/m²], Watt per Square Centimeter[W/m²], Watt per Square Inch[W/m²] are the few other units in which Maximum heat flux to nucleate pool boiling can be measured.

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Maximum heat flux to nucleate pool boiling Formula

Maximum heat flux to nucleate pool boiling Example

Maximum heat flux to nucleate pool boiling Solution

Maximum heat flux to nucleate pool boiling Formula Elements

Other formulas in Boiling category

How to Evaluate Maximum heat flux to nucleate pool boiling?

FAQs on Maximum heat flux to nucleate pool boiling

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