Critical Heat Flux by Zuber Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
qMax = ((0.149*Lv*ρv)*(((σ*[g])*(ρL-ρv))/(ρv^2))^(1/4))
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Critical Heat Flux - (Measured in Watt per Square Meter) - 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.
Enthalpy of Vaporization of Liquid - (Measured in Joule Per Mole) - 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.
Density of Vapor - (Measured in Kilogram per Cubic Meter) - The Density of Vapor is the mass of a unit volume of a material substance.
Surface Tension - (Measured in Newton per Meter) - 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.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - The density of Liquid is the mass of a unit volume of liquid.
STEP 1: Convert Input(s) to Base Unit
Enthalpy of Vaporization of Liquid: 19 Joule Per Mole --> 19 Joule Per Mole No Conversion Required
Density of Vapor: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Density of Liquid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qMax = ((0.149*Lvv)*(((σ*[g])*(ρLv))/(ρv^2))^(1/4)) --> ((0.149*19*0.5)*(((72.75*[g])*(1000-0.5))/(0.5^2))^(1/4))
Evaluating ... ...
qMax = 58.1713294713482
STEP 3: Convert Result to Output's Unit
58.1713294713482 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
58.1713294713482 58.17133 Watt per Square Meter <-- Critical Heat Flux
(Calculation completed in 00.004 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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Important Formulas of Condensation Number, Average Heat Transfer Coefficient and Heat Flux Calculators

Condensation Number given Reynolds Number
​ LaTeX ​ Go Condensation Number = ((Constant for Condensation Number)^(4/3))*(((4*sin(Inclination Angle)*((Cross Sectional Area of Flow/Wetted Perimeter)))/(Length of Plate))^(1/3))*((Reynolds Number of Film)^(-1/3))
Condensation Number
​ LaTeX ​ Go Condensation Number = (Average Heat Transfer Coefficient)*((((Viscosity of Film)^2)/((Thermal Conductivity^3)*(Density of Liquid Film)*(Density of Liquid Film-Density of Vapor)*[g]))^(1/3))
Condensation Number for Horizontal Cylinder
​ LaTeX ​ Go Condensation Number = 1.514*((Reynolds Number of Film)^(-1/3))
Condensation Number for Vertical Plate
​ LaTeX ​ Go Condensation Number = 1.47*((Reynolds Number of Film)^(-1/3))

Boiling Calculators

Critical Heat Flux by Zuber
​ LaTeX ​ Go 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))
Correlation for Heat Flux proposed by Mostinski
​ LaTeX ​ Go Heat Transfer Coefficient For Nucleate Boiling = 0.00341*(Critical Pressure^2.3)*(Excess Temperature in Nucleate Boiling^2.33)*(Reduced Pressure^0.566)
Heat Transfer Coefficient for Forced Convection Local Boiling Inside Vertical Tubes
​ LaTeX ​ Go Heat Transfer Coefficient for Forced Convection = (2.54*((Excess Temperature)^3)*exp((System Pressure in Vertical Tubes)/1.551))
Excess Temperature in Boiling
​ LaTeX ​ Go Excess Temperature in Heat Transfer = Surface Temperature-Saturation Temperature

Critical Heat Flux by Zuber Formula

​LaTeX ​Go
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))
qMax = ((0.149*Lv*ρv)*(((σ*[g])*(ρL-ρv))/(ρv^2))^(1/4))

What is Heat Transfer?

Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy between physical systems. Heat transfer is classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation, and transfer of energy by phase changes.

Define Thermal Conductivity & Factors affecting it?

Thermal conductivity is defined as the ability of a substance to conduct heat. Factors Affecting The Thermal Conductivity are: Moisture, Density of material, Pressure, Temperature & Structure of material.

How to Calculate Critical Heat Flux by Zuber?

Critical Heat Flux by Zuber calculator 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 calculate 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 qMax symbol.

How to calculate Critical Heat Flux by Zuber using this online calculator? To use this online calculator for Critical Heat Flux by Zuber, enter Enthalpy of Vaporization of Liquid (Lv), Density of Vapor v), Surface Tension (σ) & Density of Liquid L) and hit the calculate button. Here is how the Critical Heat Flux by Zuber calculation can be explained with given input values -> 58.17133 = ((0.149*19*0.5)*(((72.75*[g])*(1000-0.5))/(0.5^2))^(1/4)).

FAQ

What is Critical Heat Flux by Zuber?
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 and is represented as qMax = ((0.149*Lvv)*(((σ*[g])*(ρLv))/(ρv^2))^(1/4)) or 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)). 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, The Density of Vapor is the mass of a unit volume of a material substance, 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 & The density of Liquid is the mass of a unit volume of liquid.
How to calculate Critical Heat Flux by Zuber?
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 is calculated using 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 calculate Critical Heat Flux by Zuber, you need Enthalpy of Vaporization of Liquid (Lv), Density of Vapor v), Surface Tension (σ) & Density of Liquid L). With our tool, you need to enter the respective value for Enthalpy of Vaporization of Liquid, Density of Vapor, Surface Tension & Density of Liquid 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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