Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid Calculator

✖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.ⓘ Surface Tension [σ]			+10% -10%
✖Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.ⓘ Saturation Temperature [T_Sat]			+10% -10%
✖Pressure of Superheated Liquid is the liquid pressure at temperature between the normal boiling point and critical temperaure.ⓘ Pressure of Superheated Liquid [P_l]			+10% -10%
✖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.ⓘ Enthalpy of Vaporization of Liquid [L_v]			+10% -10%
✖Temperature of Superheated Liquid is a liquid which has been heated above its boiling point, but by increasing pressure, it is still in the liquid state.ⓘ Temperature of Superheated Liquid [T_l]			+10% -10%

✖Radius of Vapor Bubble is the line segment from center to the circumference.ⓘ Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid [r]

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Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid

Formula

`"r" = (2*"σ"*"[R]"*("T"_{"Sat"}^2))/("P"_{"l"}*"L"_{"v"}*("T"_{"l"}-"T"_{"Sat"}))`

Example

`"0.14151m"=(2*"72.75N/m"*"[R]"*(("373K")^2))/("200000Pa"*"19J/mol"*("686K"-"373K"))`

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Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturation Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturation Temperature))
r = (2*σ*[R]*(T_Sat^2))/(P_l*L_v*(T_l-T_Sat))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Radius of Vapor Bubble - (Measured in Meter) - Radius of Vapor Bubble is the line segment from center to the circumference.
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.
Saturation Temperature - (Measured in Kelvin) - Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure.
Pressure of Superheated Liquid - (Measured in Pascal) - Pressure of Superheated Liquid is the liquid pressure at temperature between the normal boiling point and critical temperaure.
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.
Temperature of Superheated Liquid - (Measured in Kelvin) - Temperature of Superheated Liquid is a liquid which has been heated above its boiling point, but by increasing pressure, it is still in the liquid state.

STEP 1: Convert Input(s) to Base Unit

Surface Tension: 72.75 Newton per Meter --> 72.75 Newton per Meter No Conversion Required
Saturation Temperature: 373 Kelvin --> 373 Kelvin No Conversion Required
Pressure of Superheated Liquid: 200000 Pascal --> 200000 Pascal No Conversion Required
Enthalpy of Vaporization of Liquid: 19 Joule Per Mole --> 19 Joule Per Mole No Conversion Required
Temperature of Superheated Liquid: 686 Kelvin --> 686 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (2*σ*[R]*(T_Sat^2))/(P_l*L_v*(T_l-T_Sat)) --> (2*72.75*[R]*(373^2))/(200000*19*(686-373))

Evaluating ... ...

r = 0.141509927296916

STEP 3: Convert Result to Output's Unit

0.141509927296916 Meter --> No Conversion Required

FINAL ANSWER

0.141509927296916 ≈ 0.14151 Meter <-- Radius of Vapor Bubble

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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National University of Judicial Science (NUJS), Kolkata

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< 14 Boiling Calculators

Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid

Go Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturation Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturation Temperature))

Critical Heat Flux by Zuber

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))

Radiation Heat Transfer Coefficient

Go Radiation Heat Transfer Coefficient = (([Stefan-BoltZ]*Emissivity*(((Plate Surface Temperature)^4)-((Saturation Temperature)^4)))/(Plate Surface Temperature-Saturation Temperature))

Total Heat Transfer Coefficient

Go Total Heat Transfer Coefficient = Heat Transfer Coefficient in Film Boiling Region* ((Heat Transfer Coefficient in Film Boiling Region/Heat Transfer Coefficient)^(1/3))+Radiation Heat Transfer Coefficient

Modified Heat of Vaporization

Go Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapor)*((Plate Surface Temperature-Saturation Temperature)/2))

Modified Heat Transfer Coefficient under Influence of Pressure

Go Heat Transfer Coefficient at Some Pressure P = (Heat Transfer Coefficient at Atmospheric Pressure)*((System Pressure/Standard Atmospheric Pressure)^(0.4))

Correlation for Heat Flux proposed by Mostinski

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

Go Heat Transfer Coefficient for Forced Convection = (2.54*((Excess Temperature)^3)*exp((System Pressure in Vertical Tubes)/1.551))

Heat Flux in Fully Developed Boiling State for Higher Pressures

Go Rate of Heat Transfer = 283.2*Area*((Excess Temperature)^(3))*((Pressure)^(4/3))

Heat Transfer Coefficient given Biot Number

Go Heat Transfer Coefficient = (Biot Number*Thermal Conductivity)/Thickness of Wall

Saturated Temperature given Excess Temperature

Go Saturation Temperature = Surface Temperature-Excess Temperature in Heat Transfer

Surface Temperature given Excess Temperature

Go Surface Temperature = Saturation Temperature+Excess Temperature in Heat Transfer

Excess Temperature in Boiling

Go Excess Temperature in Heat Transfer = Surface Temperature-Saturation Temperature

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

Go Rate of Heat Transfer = 2.253*Area*((Excess Temperature)^(3.96))

Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid Formula

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 Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid?

Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid calculator uses Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturation Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturation Temperature)) to calculate the Radius of Vapor Bubble, The Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid formula is defined as growth of bubbles and their escape from the liquids. Nucleate boiling proceeds through the formation of bubble nuclei in superheated liquid. Radius of Vapor Bubble is denoted by r symbol.

How to calculate Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid using this online calculator? To use this online calculator for Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid, enter Surface Tension (σ), Saturation Temperature (T_Sat), Pressure of Superheated Liquid (P_l), Enthalpy of Vaporization of Liquid (L_v) & Temperature of Superheated Liquid (T_l) and hit the calculate button. Here is how the Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid calculation can be explained with given input values -> 0.14151 = (2*72.75*[R]*(373^2))/(200000*19*(686-373)).

FAQ

What is Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid?

The Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid formula is defined as growth of bubbles and their escape from the liquids. Nucleate boiling proceeds through the formation of bubble nuclei in superheated liquid and is represented as r = (2*σ*[R]*(T_Sat^2))/(P_l*L_v*(T_l-T_Sat)) or Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturation Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturation Temperature)). 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, Saturation temperature is the temperature at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given pressure, Pressure of Superheated Liquid is the liquid pressure at temperature between the normal boiling point and critical temperaure, 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 & Temperature of Superheated Liquid is a liquid which has been heated above its boiling point, but by increasing pressure, it is still in the liquid state.

How to calculate Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid?

The Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid formula is defined as growth of bubbles and their escape from the liquids. Nucleate boiling proceeds through the formation of bubble nuclei in superheated liquid is calculated using Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturation Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturation Temperature)). To calculate Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid, you need Surface Tension (σ), Saturation Temperature (T_Sat), Pressure of Superheated Liquid (P_l), Enthalpy of Vaporization of Liquid (L_v) & Temperature of Superheated Liquid (T_l). With our tool, you need to enter the respective value for Surface Tension, Saturation Temperature, Pressure of Superheated Liquid, Enthalpy of Vaporization of Liquid & Temperature of Superheated 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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