Maximum Heat Flux in Evaporation Process Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
qmax = (pi/24)*λ*ρVapor*(σ*([g]/ρVapor^2)*(ρf-ρVapor))^(1/4)*((ρf+ρVapor)/(ρf))^(1/2)
This formula uses 2 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Maximum Heat Flux - (Measured in Watt per Square Meter) - Maximum heat flux refers to the highest rate of heat transfer per unit area that can be achieved in a particular system or situation.
Latent Heat of Vaporization - (Measured in Joule per Kilogram) - 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.
Vapor Density - (Measured in Kilogram per Cubic Meter) - Vapor Density is defined as the ratio of mass to the volume of vapor at particular temperature.
Interfacial Tension - (Measured in Newton per Meter) - 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.
Fluid Density in Heat Transfer - (Measured in Kilogram per Cubic Meter) - Fluid Density in Heat Transfer is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
STEP 1: Convert Input(s) to Base Unit
Latent Heat of Vaporization: 200001 Joule per Kilogram --> 200001 Joule per Kilogram No Conversion Required
Vapor Density: 1.71 Kilogram per Cubic Meter --> 1.71 Kilogram per Cubic Meter No Conversion Required
Interfacial Tension: 0.0728 Newton per Meter --> 0.0728 Newton per Meter No Conversion Required
Fluid Density in Heat Transfer: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qmax = (pi/24)*λ*ρVapor*(σ*([g]/ρVapor^2)*(ρfVapor))^(1/4)*((ρfVapor)/(ρf))^(1/2) --> (pi/24)*200001*1.71*(0.0728*([g]/1.71^2)*(995-1.71))^(1/4)*((995+1.71)/(995))^(1/2)
Evaluating ... ...
qmax = 176816.89108671
STEP 3: Convert Result to Output's Unit
176816.89108671 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
176816.89108671 176816.9 Watt per Square Meter <-- Maximum Heat Flux
(Calculation completed in 00.020 seconds)

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Created by Rishi Vadodaria
Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR
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Heat Transfer Coefficient in Heat Exchangers Calculators

Heat Transfer Coefficient for Condensation Outside Horizontal Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.95*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer*(Fluid Density in Heat Transfer-Density of Vapor)*([g]/Fluid Viscosity at Average Temperature)*(Number of Tubes in Heat Exchanger*Length of Tube in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3))*(Number of Tubes in Vertical Row of Exchanger^(-1/6))
Heat Transfer Coefficient for Condensation Inside Vertical Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.926*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer/Fluid Viscosity at Average Temperature)*(Fluid Density in Heat Transfer-Density of Vapor)*[g]*(pi*Pipe Inner Diameter in Exchanger*Number of Tubes in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3)
Heat Transfer Coefficient for Condensation Outside Vertical Tubes
​ LaTeX ​ Go Average Condensation Coefficient = 0.926*Thermal Conductivity in Heat Exchanger*((Fluid Density in Heat Transfer/Fluid Viscosity at Average Temperature)*(Fluid Density in Heat Transfer-Density of Vapor)*[g]*(pi*Pipe Outer Dia*Number of Tubes in Heat Exchanger/Mass Flowrate in Heat Exchanger))^(1/3)
Heat Transfer Coefficient for Plate Heat Exchanger
​ LaTeX ​ Go Plate Film Coefficient = 0.26*(Thermal Conductivity in Heat Exchanger/Equivalent Diameter in Heat Exchanger)*(Reynold Number for Fluid^0.65)*(Prandlt Number for Fluid^0.4)*(Fluid Viscosity at Average Temperature/Fluid Viscosity at Tube Wall Temperature)^0.14

Maximum Heat Flux in Evaporation Process Formula

​LaTeX ​Go
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)
qmax = (pi/24)*λ*ρVapor*(σ*([g]/ρVapor^2)*(ρf-ρVapor))^(1/4)*((ρf+ρVapor)/(ρf))^(1/2)

What is Evaporation?

Evaporation is the process by which a liquid turns into vapor or gas when it is exposed to heat or when the molecules in the liquid gain enough energy to escape into the surrounding air. This typically happens at the liquid's surface.
As the liquid molecules absorb heat energy, they become more energetic and move faster, eventually breaking free from the liquid's surface and entering the air as vapor.

What is significance of Heat Flux in Evaporation?

Evaporation is an endothermic process, which means it requires the input of heat energy to convert a liquid into vapor. Heat flux quantifies the rate at which this energy is transferred per unit area. Without an adequate heat flux, evaporation cannot occur efficiently because there won't be enough energy to break the bonds between liquid molecules and turn them into vapor.

How to Calculate Maximum Heat Flux in Evaporation Process?

Maximum Heat Flux in Evaporation Process calculator 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 calculate 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 qmax symbol.

How to calculate Maximum Heat Flux in Evaporation Process using this online calculator? To use this online calculator for Maximum Heat Flux in Evaporation Process, enter Latent Heat of Vaporization (λ), Vapor Density Vapor), Interfacial Tension (σ) & Fluid Density in Heat Transfer f) and hit the calculate button. Here is how the Maximum Heat Flux in Evaporation Process calculation can be explained with given input values -> 176816.9 = (pi/24)*200001*1.71*(0.0728*([g]/1.71^2)*(995-1.71))^(1/4)*((995+1.71)/(995))^(1/2).

FAQ

What is Maximum Heat Flux in Evaporation Process?
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 and is represented as qmax = (pi/24)*λ*ρVapor*(σ*([g]/ρVapor^2)*(ρfVapor))^(1/4)*((ρfVapor)/(ρf))^(1/2) or 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). 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, Vapor Density is defined as the ratio of mass to the volume of vapor at particular temperature, 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 & Fluid Density in Heat Transfer is defined as the ratio of mass of given fluid with respect to the volume that it occupies.
How to calculate Maximum Heat Flux in Evaporation Process?
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 is calculated using 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 calculate Maximum Heat Flux in Evaporation Process, you need Latent Heat of Vaporization (λ), Vapor Density Vapor), Interfacial Tension (σ) & Fluid Density in Heat Transfer f). With our tool, you need to enter the respective value for Latent Heat of Vaporization, Vapor Density, Interfacial Tension & Fluid Density in Heat Transfer 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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