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Maximum Heat Flux in Evaporation Process Formula

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Maximum heat flux refers to the highest rate of heat transfer per unit area that can be achieved in a particular system or situation. Check FAQs

q max = (\frac{π}{24}) \cdot λ \cdot ρ Vapor \cdot {(σ \cdot (\frac{[g]}{{ρ Vapor}^{2}}) \cdot (ρ f - ρ Vapor))}^{\frac{1}{4}} \cdot {(\frac{ρ f + ρ Vapor}{ρ f})}^{\frac{1}{2}}

q_max - Maximum Heat Flux?λ - Latent Heat of Vaporization?ρ_Vapor - Vapor Density?σ - Interfacial Tension?ρ_f - Fluid Density in Heat Transfer?[g] - Gravitational acceleration on Earth?π - Archimedes' constant?

Maximum Heat Flux in Evaporation Process Example

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Here is how the Maximum Heat Flux in Evaporation Process equation looks like with Values.

Here is how the Maximum Heat Flux in Evaporation Process equation looks like with Units.

Here is how the Maximum Heat Flux in Evaporation Process equation looks like.

176816.8911 = (\frac{3.1416}{24}) \cdot 200001 \cdot 1.71 \cdot {(0.0728 \cdot (\frac{9.8066}{{1.71}^{2}}) \cdot (995 - 1.71))}^{\frac{1}{4}} \cdot {(\frac{995 + 1.71}{995})}^{\frac{1}{2}}

176816.8911W/m² = (\frac{3.1416}{24}) \cdot 200001J/kg \cdot 1.71kg/m³ \cdot {(0.0728N/m \cdot (\frac{9.8066m/s²}{{1.71kg/m³}^{2}}) \cdot (995kg/m³ - 1.71kg/m³))}^{\frac{1}{4}} \cdot {(\frac{995kg/m³ + 1.71kg/m³}{995kg/m³})}^{\frac{1}{2}}

176816.8911 = (\frac{3.1416}{24}) \cdot 200001 \cdot 1.71 \cdot {(0.0728 \cdot (\frac{9.8066}{{1.71}^{2}}) \cdot (995 - 1.71))}^{\frac{1}{4}} \cdot {(\frac{995 + 1.71}{995})}^{\frac{1}{2}}

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Maximum Heat Flux in Evaporation Process Solution

Follow our step by step solution on how to calculate Maximum Heat Flux in Evaporation Process?

FIRST Step Consider the formula

q max = (\frac{π}{24}) \cdot λ \cdot ρ Vapor \cdot {(σ \cdot (\frac{[g]}{{ρ Vapor}^{2}}) \cdot (ρ f - ρ Vapor))}^{\frac{1}{4}} \cdot {(\frac{ρ f + ρ Vapor}{ρ f})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

q max = (\frac{π}{24}) \cdot 200001J/kg \cdot 1.71kg/m³ \cdot {(0.0728N/m \cdot (\frac{[g]}{{1.71kg/m³}^{2}}) \cdot (995kg/m³ - 1.71kg/m³))}^{\frac{1}{4}} \cdot {(\frac{995kg/m³ + 1.71kg/m³}{995kg/m³})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

q max = (\frac{3.1416}{24}) \cdot 200001J/kg \cdot 1.71kg/m³ \cdot {(0.0728N/m \cdot (\frac{9.8066m/s²}{{1.71kg/m³}^{2}}) \cdot (995kg/m³ - 1.71kg/m³))}^{\frac{1}{4}} \cdot {(\frac{995kg/m³ + 1.71kg/m³}{995kg/m³})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

q max = (\frac{3.1416}{24}) \cdot 200001 \cdot 1.71 \cdot {(0.0728 \cdot (\frac{9.8066}{{1.71}^{2}}) \cdot (995 - 1.71))}^{\frac{1}{4}} \cdot {(\frac{995 + 1.71}{995})}^{\frac{1}{2}}

Next Step Evaluate

∴

q max = 176816.89108671W/m²

LAST Step Rounding Answer

∴

q max = 176816.8911W/m²

Maximum Heat Flux in Evaporation Process Formula Elements

Variables

Constants

Maximum Heat Flux

Maximum heat flux refers to the highest rate of heat transfer per unit area that can be achieved in a particular system or situation.

Symbol: q_max

Measurement: Heat Flux DensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Maximum Heat Flux

Latent Heat of Vaporization

Latent Heat of Vaporization is a thermodynamic property that describes the amount of energy required to change a substance from its liquid phase to its gaseous phase.

Symbol: λ

Measurement: Latent HeatUnit: J/kg

Note: Value should be greater than 0.

Formulas to find Latent Heat of Vaporization

Vapor Density

Vapor Density is defined as the ratio of mass to the volume of vapor at particular temperature.

Symbol: ρ_Vapor

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Vapor Density

Interfacial Tension

Interfacial Tension, also known as surface tension, is a property of the interface between two immiscible substances, such as a liquid and a gas or two different liquids.

Symbol: σ

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Interfacial Tension

Fluid Density in Heat Transfer

Fluid Density in Heat Transfer is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Fluid Density in Heat Transfer

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Heat Transfer Coefficient in Heat Exchangers category

Go Heat Transfer Coefficient for Condensation Inside Vertical Tubes

h average = 0.926 \cdot k f \cdot {((\frac{ρ f}{μ}) \cdot (ρ f - ρ V) \cdot [g] \cdot (π \cdot D i \cdot \frac{N t}{M f}))}^{\frac{1}{3}}

Go Heat Transfer Coefficient for Condensation Outside Horizontal Tubes

h average = 0.95 \cdot k f \cdot ({(ρ f \cdot (ρ f - ρ V) \cdot (\frac{[g]}{μ}) \cdot (N t \cdot \frac{L t}{M f}))}^{\frac{1}{3}}) \cdot ({N Vertical}^{- \frac{1}{6}})

Go Heat Transfer Coefficient for Condensation Outside Vertical Tubes

h average = 0.926 \cdot k f \cdot {((\frac{ρ f}{μ}) \cdot (ρ f - ρ V) \cdot [g] \cdot (π \cdot D O \cdot \frac{N t}{M f}))}^{\frac{1}{3}}

Go Heat Transfer Coefficient for Plate Heat Exchanger

h p = 0.26 \cdot (\frac{k f}{d e}) \cdot ({Re}^{0.65}) \cdot ({Pr}^{0.4}) \cdot {(\frac{μ}{μ W})}^{0.14}

How to Evaluate Maximum Heat Flux in Evaporation Process?

Maximum Heat Flux in Evaporation Process evaluator uses Maximum Heat Flux = (pi/24)*Latent Heat of Vaporization*Vapor Density*(Interfacial Tension*([g]/Vapor Density^2)*(Fluid Density in Heat Transfer-Vapor Density))^(1/4)*((Fluid Density in Heat Transfer+Vapor Density)/(Fluid Density in Heat Transfer))^(1/2) to evaluate the Maximum Heat Flux, The Maximum Heat Flux in Evaporation Process formula is defined as rate at which a substance can be converted from a liquid to a vapor as it evaporates during the process. Maximum Heat Flux is denoted by q_max symbol.

How to evaluate Maximum Heat Flux in Evaporation Process using this online evaluator? To use this online evaluator for Maximum Heat Flux in Evaporation Process, enter Latent Heat of Vaporization (λ), Vapor Density (ρ_Vapor), Interfacial Tension (σ) & Fluid Density in Heat Transfer (ρ_f) and hit the calculate button.

FAQs on Maximum Heat Flux in Evaporation Process

What is the formula to find Maximum Heat Flux in Evaporation Process?

The formula of Maximum Heat Flux in Evaporation Process is expressed as Maximum Heat Flux = (pi/24)*Latent Heat of Vaporization*Vapor Density*(Interfacial Tension*([g]/Vapor Density^2)*(Fluid Density in Heat Transfer-Vapor Density))^(1/4)*((Fluid Density in Heat Transfer+Vapor Density)/(Fluid Density in Heat Transfer))^(1/2). Here is an example- 176816.9 = (pi/24)*200001*1.71*(0.0728*([g]/1.71^2)*(995-1.71))^(1/4)*((995+1.71)/(995))^(1/2).

How to calculate Maximum Heat Flux in Evaporation Process?

With Latent Heat of Vaporization (λ), Vapor Density (ρ_Vapor), Interfacial Tension (σ) & Fluid Density in Heat Transfer (ρ_f) we can find Maximum Heat Flux in Evaporation Process using the formula - Maximum Heat Flux = (pi/24)*Latent Heat of Vaporization*Vapor Density*(Interfacial Tension*([g]/Vapor Density^2)*(Fluid Density in Heat Transfer-Vapor Density))^(1/4)*((Fluid Density in Heat Transfer+Vapor Density)/(Fluid Density in Heat Transfer))^(1/2). This formula also uses Gravitational acceleration on Earth, Archimedes' constant .

Can the Maximum Heat Flux in Evaporation Process be negative?

No, the Maximum Heat Flux in Evaporation Process, measured in Heat Flux Density cannot be negative.

Which unit is used to measure Maximum Heat Flux in Evaporation Process?

Maximum Heat Flux in Evaporation Process 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 in Evaporation Process can be measured.

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Maximum Heat Flux in Evaporation Process Formula

Maximum Heat Flux in Evaporation Process Example

Maximum Heat Flux in Evaporation Process Solution

Maximum Heat Flux in Evaporation Process Formula Elements

Other formulas in Heat Transfer Coefficient in Heat Exchangers category

How to Evaluate Maximum Heat Flux in Evaporation Process?

FAQs on Maximum Heat Flux in Evaporation Process

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