A Formula for Rate of Evaporation

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SUMMARY

The discussion focuses on the formula for calculating the rate of evaporation, emphasizing its dependence on relative humidity, temperature, pressure, and surface area. A specific formula is proposed: massWater/(unitArea/unitTime). The conversation highlights the importance of the Clausius-Clapeyron Equation in relating pressure and temperature, and mentions the need for a mass transfer coefficient and heat transfer considerations for accurate calculations. Key references include "Mass Transfer Operations" by Treybel.

PREREQUISITES
  • Understanding of the Clausius-Clapeyron Equation
  • Knowledge of mass transfer coefficients
  • Familiarity with heat transfer principles
  • Basic concepts of evaporation dynamics
NEXT STEPS
  • Research the Clausius-Clapeyron Equation in detail
  • Study mass transfer coefficients in liquid-gas systems
  • Explore heat transfer mechanisms affecting evaporation
  • Examine practical applications of evaporation rate calculations
USEFUL FOR

Researchers, engineers, and students in fields related to thermodynamics, fluid dynamics, and environmental science will benefit from this discussion, particularly those focused on evaporation processes and their applications.

marvolo1300
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Hi, it has been a while since I've been on PF.

I know that the rate of evaporation depends on the relative humidity, temperature, pressure and surface area.

Is there any formula that fits this criteria?
 
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Here's what I found so far:
LINK. CLICK ME!


Basically they define the rate of evaporation as:

massWater/(unitArea/unitTime)


Sorry about the lack of a direct link, I am using an OS without a supported PDF plugin.
 
oh wow, I was thinking about then whilst I was walking to the shops a few weeks ago
I was mainly using dimensional analysis to guide me though.. I don't really remember what I came up with though since I had to start remembering why I went to the shop once I arrived!
:biggrin:
 
What a coincidence! It seems you may have a unit for the rate of evaporation.
 
Well, it was worth a shot.
 
i neeeeeeeeeeeeeeeeeeeeeeeed relationship that relates between evaporation rate and pressure ...all this equations indicate the relationship between the temperature and evaporation rate
 
the Clausius-Clapeyron Equation relates between pressure and temperature.
i will give you example for what i want:

if i have vessel contains 100 m^3 of water and the surface area is 500 m^2 and the relative humidity is 50% and the speed of air is 0.5 m/s what is pressure drop that i need to evaporate this volume of water during 24 hours?
 
You're missing some key pieces of the puzzle. You need to know the mass transfer coefficient between the liquid and gas phases. You also need to consider heat transfer, because the temperature at the interface is going to be lower than in the bulk of the liquid (and this is going to affect the vapor pressure at the interface). See Mass Transfer Operations by Treybel. You are dealing with combined heat and mass transfer.

Chet
 

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