Mass Flow of Condensate through any X Position of Film Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film)
= ρL*(ρL-ρv)*[g]*(δ^3)/(3*μf)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665 Meter/Second²
Variables Used
Mass Flow Rate - (Measured in Kilogram per Second) - Mass flow rate is the mass of a substance that passes per unit of time. Its unit is kilogram per second in SI units.
Density of Liquid - (Measured in Kilogram per Cubic Meter) - The density of Liquid is the mass of a unit volume of liquid.
Density of Vapor - (Measured in Kilogram per Cubic Meter) - The Density of Vapor is the mass of a unit volume of a material substance.
Film Thickness - (Measured in Meter) - Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film.
Viscosity of Film - (Measured in Pascal Second) - Viscosity of Film is a measure of its resistance to deformation at a given rate.
STEP 1: Convert Input(s) to Base Unit
Density of Liquid: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Density of Vapor: 0.5 Kilogram per Cubic Meter --> 0.5 Kilogram per Cubic Meter No Conversion Required
Film Thickness: 0.005 Meter --> 0.005 Meter No Conversion Required
Viscosity of Film: 0.029 Newton Second per Square Meter --> 0.029 Pascal Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ṁ = ρL*(ρLv)*[g]*(δ^3)/(3*μf) --> 1000*(1000-0.5)*[g]*(0.005^3)/(3*0.029)
Evaluating ... ...
= 14.0829693606322
STEP 3: Convert Result to Output's Unit
14.0829693606322 Kilogram per Second --> No Conversion Required
FINAL ANSWER
14.0829693606322 Kilogram per Second <-- Mass Flow Rate
(Calculation completed in 00.078 seconds)

Credits

Created by Ayush gupta
University School of Chemical Technology-USCT (GGSIPU), New Delhi
Ayush gupta has created this Calculator and 200+ more calculators!
Verified by Prerana Bakli
National Institute of Technology (NIT), Meghalaya
Prerana Bakli has verified this Calculator and 1200+ more calculators!

10+ Boiling and Condensation Formulas Calculators

Film Thickness in Film Condensation

Film Thickness in Film Condensation

Formula
`"δ" = ((4*"μ"_{"f"}*"k"*"x"*("T"_{"Sat"}-"T"_{"w"}))/("[g]"*"h"_{"fg"}*("ρ"_{"L"})*("ρ"_{"L"}-"ρ"_{"v"})))^(0.25)`

Example
`"0.000982m"=((4*"0.029N*s/m²"*"10.18W/(m*K)"*"0.06m"*("373K"-"82K"))/("[g]"*"2260000J/kg"*("1000kg/m³")*("1000kg/m³"-"0.5kg/m³")))^(0.25)`

Calculator
LaTeX
Go Film Thickness = ((4*Viscosity of Film*Thermal Conductivity*Height of Film*(Saturated Temperature-Plate Surface Temperature))/([g]*Latent Heat of Vaporization*(Density of Liquid)*(Density of Liquid-Density of Vapor)))^(0.25)
Radius of Vapour Bubble in Mechanical Equilibrium in Superheated Liquid

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
`"-0.476265m"=(2*"72.75N/m"*"[R]"*("373K"^2))/("200000Pa"*"19J/mol"*("280K"-"373K"))`

Calculator
LaTeX
Go Radius of Vapor Bubble = (2*Surface Tension*[R]*(Saturated Temperature^2))/(Pressure of Superheated Liquid*Enthalpy of Vaporization of Liquid*(Temperature of Superheated Liquid-Saturated Temperature))
Reynolds Number using Average Heat Transfer Coefficient for Condensate Film

Reynolds Number using Average Heat Transfer Coefficient for Condensate Film

Formula
`"Re"_{"f"} = ((4*"h ̅"*"L"* ("T"_{"Sat"}-"T"_{"w"}))/ ("h"_{"fg"}*"μ"_{"f"}))`

Example
`"0.399603"=((4*"450W/m²*K"*"0.05m"* ("373K"-"82K"))/ ("2260000J/kg"*"0.029N*s/m²"))`

Calculator
LaTeX
Go Reynolds Number of Film = ((4*Average Heat Transfer Coefficient*Length of Plate* (Saturated Temperature-Plate Surface Temperature))/ (Latent Heat of Vaporization*Viscosity of Film))
Radiation Heat Transfer Coefficient

Radiation Heat Transfer Coefficient

Formula
`"h"_{"r"} = (("[Stefan-BoltZ]"*"ε"*((("T"_{"w"})^4)-(("T"_{"Sat"})^4)))/("T"_{"w"}-"T"_{"Sat"}))`

Example
`"3.574881W/m²*K"=(("[Stefan-BoltZ]"*"0.95"*((("82K")^4)-(("373K")^4)))/("82K"-"373K"))`

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

Total Heat Transfer Coefficient

Formula
`"h"_{"T"} = "h"_{"b"}* (("h"_{"b"}/"h")^(1/3))+"h"_{"r"}`

Example
`"6129.3W/m²*K"="921W/m²*K"* (("921W/m²*K"/"5W/m²*K")^(1/3))+"889W/m²*K"`

Calculator
LaTeX
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
Mass Flow of Condensate through any X Position of Film

Mass Flow of Condensate through any X Position of Film

Formula
`"ṁ" = "ρ"_{"L"}*("ρ"_{"L"}-"ρ"_{"v"})*"[g]"*("δ"^3)/(3*"μ"_{"f"})`

Example
`"14.08297kg/s"="1000kg/m³"*("1000kg/m³"-"0.5kg/m³")*"[g]"*("0.005m"^3)/(3*"0.029N*s/m²")`

Calculator
LaTeX
Go Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film)
Modified Heat of Vaporization

Modified Heat of Vaporization

Formula
`"λ" = ("h"_{"fg"}+("c"_{"pv"})*(("T"_{"w"}-"T"_{"Sat"})/2))`

Example
`"2.3E^6J/kg"=("2260000J/kg"+("23.5J/(kg*K)")*(("82K"-"373K")/2))`

Calculator
LaTeX
Go Modified Heat of Vaporization = (Latent Heat of Vaporization+(Specific Heat of Water Vapour)*((Plate Surface Temperature-Saturated Temperature)/2))
Energy Balance for Non-linear Temperature Profile in Film

Energy Balance for Non-linear Temperature Profile in Film

Formula
`"h'"_{"fg"} = ("h"_{"fg"}+0.68*"c"*("T"_{"Sat"}-"T"_{"w"}))`

Example
`"2.3E^6J/kg"=("2260000J/kg"+0.68*"4.184J/(kg*K)"*("373K"-"82K"))`

Calculator
LaTeX
Go New Latent Heat of Vaporization = (Latent Heat of Vaporization+0.68*Specific Heat Capacity*(Saturated Temperature-Plate Surface Temperature))
Reynolds Number for Condensate Film

Reynolds Number for Condensate Film

Formula
`"Re"_{"f"} = (4*"ṁ"_{"1"})/("P"*"μ")`

Example
`"2666.667"=(4*"20000kg/s")/("3m"*"10N*s/m²")`

Calculator
LaTeX
Go Reynolds Number of Film = (4*Mass Flow of Condensate)/(Wetted Perimeter*Viscosity of Fluid)
Excess Temperature in Boiling

Excess Temperature in Boiling

Formula
`"T"_{"e"} = "T"_{"Surface"}-"T"_{"Sat"}`

Example
`"29K"="402K"-"373K"`

Calculator
LaTeX
Go Excess Temperature in Heat Transfer = Surface Temperature-Saturated Temperature

Mass Flow of Condensate through any X Position of Film Formula

Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film)
= ρL*(ρL-ρv)*[g]*(δ^3)/(3*μf)

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 Mass Flow of Condensate through any X Position of Film?

Mass Flow of Condensate through any X Position of Film calculator uses Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film) to calculate the Mass Flow Rate, The Mass Flow of Condensate through any X Position of Film formula is defined as the product of density of liquid, the density difference between the liquid and vapor, acceleration due to gravity, film thickness divided by 3 into viscosity. Mass Flow Rate is denoted by symbol.

How to calculate Mass Flow of Condensate through any X Position of Film using this online calculator? To use this online calculator for Mass Flow of Condensate through any X Position of Film, enter Density of Liquid L), Density of Vapor v), Film Thickness (δ) & Viscosity of Film f) and hit the calculate button. Here is how the Mass Flow of Condensate through any X Position of Film calculation can be explained with given input values -> 14.08297 = 1000*(1000-0.5)*[g]*(0.005^3)/(3*0.029).

FAQ

What is Mass Flow of Condensate through any X Position of Film?
The Mass Flow of Condensate through any X Position of Film formula is defined as the product of density of liquid, the density difference between the liquid and vapor, acceleration due to gravity, film thickness divided by 3 into viscosity and is represented as = ρL*(ρL-ρv)*[g]*(δ^3)/(3*μf) or Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film). The density of Liquid is the mass of a unit volume of liquid, The Density of Vapor is the mass of a unit volume of a material substance, Film Thickness is the thickness between the wall or the phase boundary or the interface to the other end of the film & Viscosity of Film is a measure of its resistance to deformation at a given rate.
How to calculate Mass Flow of Condensate through any X Position of Film?
The Mass Flow of Condensate through any X Position of Film formula is defined as the product of density of liquid, the density difference between the liquid and vapor, acceleration due to gravity, film thickness divided by 3 into viscosity is calculated using Mass Flow Rate = Density of Liquid*(Density of Liquid-Density of Vapor)*[g]*(Film Thickness^3)/(3*Viscosity of Film). To calculate Mass Flow of Condensate through any X Position of Film, you need Density of Liquid L), Density of Vapor v), Film Thickness (δ) & Viscosity of Film f). With our tool, you need to enter the respective value for Density of Liquid, Density of Vapor, Film Thickness & Viscosity of Film and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!