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Critical heat flux to nucleate pool boiling Formula

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Critical 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 c = 0.18 \cdot ∆H \cdot ρ v \cdot {(\frac{Y \cdot [g] \cdot (ρ l - ρ v)}{{ρ v}^{2}})}^{0.25}

Q_c - Critical Heat Flux?∆H - Change in Enthalpy of Vaporization?ρ_v - Density of Vapour?Y - Surface Tension?ρ_l - Density of Liquid?[g] - Gravitational acceleration on Earth?

Critical heat flux to nucleate pool boiling Example

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

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

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

332.8425 = 0.18 \cdot 500 \cdot 0.5 \cdot {(\frac{21.8 \cdot 9.8066 \cdot (4 - 0.5)}{{0.5}^{2}})}^{0.25}

332.8425W/m² = 0.18 \cdot 500J/mol \cdot 0.5kg/m³ \cdot {(\frac{21.8N/m \cdot 9.8066m/s² \cdot (4kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{0.25}

332.8425 = 0.18 \cdot 500 \cdot 0.5 \cdot {(\frac{21.8 \cdot 9.8066 \cdot (4 - 0.5)}{{0.5}^{2}})}^{0.25}

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Critical heat flux to nucleate pool boiling Solution

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

FIRST Step Consider the formula

Q c = 0.18 \cdot ∆H \cdot ρ v \cdot {(\frac{Y \cdot [g] \cdot (ρ l - ρ v)}{{ρ v}^{2}})}^{0.25}

Next Step Substitute values of Variables

∴

Q c = 0.18 \cdot 500J/mol \cdot 0.5kg/m³ \cdot {(\frac{21.8N/m \cdot [g] \cdot (4kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{0.25}

Next Step Substitute values of Constants

∴

Q c = 0.18 \cdot 500J/mol \cdot 0.5kg/m³ \cdot {(\frac{21.8N/m \cdot 9.8066m/s² \cdot (4kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{0.25}

Next Step Prepare to Evaluate

∴

Q c = 0.18 \cdot 500 \cdot 0.5 \cdot {(\frac{21.8 \cdot 9.8066 \cdot (4 - 0.5)}{{0.5}^{2}})}^{0.25}

Next Step Evaluate

∴

Q c = 332.842530370989W/m²

LAST Step Rounding Answer

∴

Q c = 332.8425W/m²

Critical heat flux to nucleate pool boiling Formula Elements

Variables

Constants

Critical Heat Flux

Critical 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_c

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Critical Heat Flux

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

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

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

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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}

Go Enthalpy of evaporation given critical heat flux

∆H = \frac{Q c}{0.18 \cdot ρ v \cdot {(\frac{Y \cdot [g] \cdot (ρ l - ρ v)}{{ρ v}^{2}})}^{0.25}}

Go Maximum heat flux to nucleate pool boiling

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}

How to Evaluate Critical heat flux to nucleate pool boiling?

Critical heat flux to nucleate pool boiling evaluator uses 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 to evaluate the Critical Heat Flux, The Critical heat flux to nucleate pool boiling formula is defined as the amount of heat energy passing through a certain surface. Critical Heat Flux is denoted by Q_c symbol.

How to evaluate Critical heat flux to nucleate pool boiling using this online evaluator? To use this online evaluator for Critical heat flux to nucleate pool boiling, enter Change in Enthalpy of Vaporization (∆H), Density of Vapour (ρ_v), Surface Tension (Y) & Density of Liquid (ρ_l) and hit the calculate button.

FAQs on Critical heat flux to nucleate pool boiling

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

The formula of Critical heat flux to nucleate pool boiling is expressed as 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. Here is an example- 332.8425 = 0.18*500*0.5*((21.8*[g]*(4-0.5))/(0.5^2))^0.25.

How to calculate Critical heat flux to nucleate pool boiling?

With Change in Enthalpy of Vaporization (∆H), Density of Vapour (ρ_v), Surface Tension (Y) & Density of Liquid (ρ_l) we can find Critical heat flux to nucleate pool boiling using the formula - 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. This formula also uses Gravitational acceleration on Earth constant(s).

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

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

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

Critical 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 Critical heat flux to nucleate pool boiling can be measured.

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Critical heat flux to nucleate pool boiling Formula

Critical heat flux to nucleate pool boiling Example

Critical heat flux to nucleate pool boiling Solution

Critical heat flux to nucleate pool boiling Formula Elements

Other formulas in Boiling category

How to Evaluate Critical heat flux to nucleate pool boiling?

FAQs on Critical heat flux to nucleate pool boiling

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