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Critical Heat Flux by Zuber Formula

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Critical Heat Flux describes the thermal limit of a phenomenon where a phase change occurs during heating,thus causing localised overheating of the heating surface. Check FAQs

q Max = ((0.149 \cdot L v \cdot ρ v) \cdot {(\frac{(σ \cdot [g]) \cdot (ρ L - ρ v)}{{ρ v}^{2}})}^{\frac{1}{4}})

q_Max - Critical Heat Flux?L_v - Enthalpy of Vaporization of Liquid?ρ_v - Density of Vapor?σ - Surface Tension?ρ_L - Density of Liquid?[g] - Gravitational acceleration on Earth?

Critical Heat Flux by Zuber Example

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Here is how the Critical Heat Flux by Zuber equation looks like with Values.

Here is how the Critical Heat Flux by Zuber equation looks like with Units.

Here is how the Critical Heat Flux by Zuber equation looks like.

58.1713 = ((0.149 \cdot 19 \cdot 0.5) \cdot {(\frac{(72.75 \cdot 9.8066) \cdot (1000 - 0.5)}{{0.5}^{2}})}^{\frac{1}{4}})

58.1713W/m² = ((0.149 \cdot 19J/mol \cdot 0.5kg/m³) \cdot {(\frac{(72.75N/m \cdot 9.8066m/s²) \cdot (1000kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{\frac{1}{4}})

58.1713 = ((0.149 \cdot 19 \cdot 0.5) \cdot {(\frac{(72.75 \cdot 9.8066) \cdot (1000 - 0.5)}{{0.5}^{2}})}^{\frac{1}{4}})

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Critical Heat Flux by Zuber Solution

Follow our step by step solution on how to calculate Critical Heat Flux by Zuber?

FIRST Step Consider the formula

q Max = ((0.149 \cdot L v \cdot ρ v) \cdot {(\frac{(σ \cdot [g]) \cdot (ρ L - ρ v)}{{ρ v}^{2}})}^{\frac{1}{4}})

Next Step Substitute values of Variables

∴

q Max = ((0.149 \cdot 19J/mol \cdot 0.5kg/m³) \cdot {(\frac{(72.75N/m \cdot [g]) \cdot (1000kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{\frac{1}{4}})

Next Step Substitute values of Constants

∴

q Max = ((0.149 \cdot 19J/mol \cdot 0.5kg/m³) \cdot {(\frac{(72.75N/m \cdot 9.8066m/s²) \cdot (1000kg/m³ - 0.5kg/m³)}{{0.5kg/m³}^{2}})}^{\frac{1}{4}})

Next Step Prepare to Evaluate

∴

q Max = ((0.149 \cdot 19 \cdot 0.5) \cdot {(\frac{(72.75 \cdot 9.8066) \cdot (1000 - 0.5)}{{0.5}^{2}})}^{\frac{1}{4}})

Next Step Evaluate

∴

q Max = 58.1713294713482W/m²

LAST Step Rounding Answer

∴

q Max = 58.1713W/m²

Critical Heat Flux by Zuber Formula Elements

Variables

Constants

Critical Heat Flux

Critical Heat Flux describes the thermal limit of a phenomenon where a phase change occurs during heating,thus causing localised overheating of the heating surface.

Symbol: q_Max

Measurement: Heat Flux DensityUnit: W/m²

Note: Value can be positive or negative.

Formulas to find Critical Heat Flux

Enthalpy of Vaporization of Liquid

Enthalpy of Vaporization of Liquid is the amount of energy that must be added to a liquid substance to transform a quantity of that substance into a gas.

Symbol: L_v

Measurement: Energy Per MoleUnit: J/mol

Note: Value should be greater than 0.

Formulas to find Enthalpy of Vaporization of Liquid

Density of Vapor

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

Symbol: ρ_v

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Vapor

Surface Tension

Surface tension is a word that is linked to the liquid surface. It is a physical property of liquids, in which the molecules are drawn onto every side.

Symbol: σ

Measurement: Surface TensionUnit: N/m

Note: Value can be positive or negative.

Formulas to find Surface Tension

Density of Liquid

The density of Liquid is the mass of a unit volume of liquid.

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 Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux category

Go Heat Transfer Coefficient for Forced Convection Local Boiling Inside Vertical Tubes

h = (2.54 \cdot ({(ΔT x)}^{3}) \cdot \exp (\frac{p}{1.551}))

Go Excess Temperature in Boiling

T excess = T surface - T Sat

Go Correlation for Heat Flux proposed by Mostinski

h b = 0.00341 \cdot ({P c}^{2.3}) \cdot ({T e}^{2.33}) \cdot ({P r}^{0.566})

Go Heat Flux in Fully Developed Boiling State for Pressure upto 0.7 Megapascal

q rate = 2.253 \cdot A \cdot ({(ΔT x)}^{3.96})

How to Evaluate Critical Heat Flux by Zuber?

Critical Heat Flux by Zuber evaluator uses Critical Heat Flux = ((0.149*Enthalpy of Vaporization of Liquid*Density of Vapor)*(((Surface Tension*[g])*(Density of Liquid-Density of Vapor))/(Density of Vapor^2))^(1/4)) to evaluate the Critical Heat Flux, The Critical Heat Flux by Zuber formula describes the thermal limit of a phenomenon where a phase change occurs during heating (such as bubbles forming on a metal surface used to heat water), which suddenly decreases the efficiency of heat transfer, thus causing localized overheating of the heating surface. Critical Heat Flux is denoted by q_Max symbol.

How to evaluate Critical Heat Flux by Zuber using this online evaluator? To use this online evaluator for Critical Heat Flux by Zuber, enter Enthalpy of Vaporization of Liquid (L_v), Density of Vapor (ρ_v), Surface Tension (σ) & Density of Liquid (ρ_L) and hit the calculate button.

FAQs on Critical Heat Flux by Zuber

What is the formula to find Critical Heat Flux by Zuber?

The formula of Critical Heat Flux by Zuber is expressed as Critical Heat Flux = ((0.149*Enthalpy of Vaporization of Liquid*Density of Vapor)*(((Surface Tension*[g])*(Density of Liquid-Density of Vapor))/(Density of Vapor^2))^(1/4)). Here is an example- 58.17133 = ((0.149*19*0.5)*(((72.75*[g])*(1000-0.5))/(0.5^2))^(1/4)).

How to calculate Critical Heat Flux by Zuber?

With Enthalpy of Vaporization of Liquid (L_v), Density of Vapor (ρ_v), Surface Tension (σ) & Density of Liquid (ρ_L) we can find Critical Heat Flux by Zuber using the formula - Critical Heat Flux = ((0.149*Enthalpy of Vaporization of Liquid*Density of Vapor)*(((Surface Tension*[g])*(Density of Liquid-Density of Vapor))/(Density of Vapor^2))^(1/4)). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Critical Heat Flux by Zuber be negative?

Yes, the Critical Heat Flux by Zuber, measured in Heat Flux Density can be negative.

Which unit is used to measure Critical Heat Flux by Zuber?

Critical Heat Flux by Zuber 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 by Zuber can be measured.

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Critical Heat Flux by Zuber Formula

Critical Heat Flux by Zuber Example

Critical Heat Flux by Zuber Solution

Critical Heat Flux by Zuber Formula Elements

Other formulas in Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux category

How to Evaluate Critical Heat Flux by Zuber?

FAQs on Critical Heat Flux by Zuber

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