Using Fick's Law: Separating Water from Alcohol and Aromatic Components

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SUMMARY

This discussion focuses on the application of Fick's Law for separating water from alcohol and aromatic components using pervaporation membranes. Participants inquire about the specific version of Fick's Law being utilized, known diffusivities, and the relevance of Navier-Stokes equations in this context. Key resources mentioned include Incropera and DeWitt's "Fundamentals of Heat and Mass Transfer" and Baluffi's "Kinetics of Materials," which provide foundational knowledge on Fick's Second Law and its applications in diffusion problems. The discussion highlights the need for experimental data, including vapor pressure and material properties, to effectively implement the separation process.

PREREQUISITES
  • Understanding of Fick's First and Second Laws of diffusion
  • Familiarity with pervaporation membrane technology
  • Knowledge of partial differential equations (PDEs)
  • Basic principles of thermal conductivity and heat transfer
NEXT STEPS
  • Study the derivation and applications of Fick's Second Law
  • Research pervaporation membrane design and operational principles
  • Learn how to calculate diffusivities for various components
  • Explore experimental methods for measuring vapor pressure and material properties
USEFUL FOR

Chemical engineers, materials scientists, and researchers involved in separation processes, particularly those focusing on the application of Fick's Law in diffusion and pervaporation techniques.

chemeguy
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I've been doing tons of research on Fick's Law. I understand how to derive it and what its used for. I just need to see an example of it being used.

I need to use this equation to separate water from an alcohol and aromatic component.

Any help is greatly appreciated.
 
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Which version of this equation are you using? Do you have any known diffusivities? Are you deriving through Navier-Stokes?
 
sicjeff said:
Which version of this equation are you using? Do you have any known diffusivities? Are you deriving through Navier-Stokes?

I know that I'll be needing to use it for a pervaporation membrane. Here is a site that I've found useful and I'm sure I need to use these equations.

http://www.cheresources.com/pervaporation.shtml

I just need help on how to start doing it, it seems that I'm having too many unknowns. I'm not sure if I need to look at experimental data and use the thickness in the equation and if I need to calculate the vapor pressure. I'm given thermal conductivity, specific heat, heat of vaporization, and specific gravity of the components.

I'm just lost and don't know where to start. :confused:
 
Hi, I have a problem in finding solution to the Fick's 2nd Law. I know how is it being derive from the 1st Law but had no idea how to go on from there on.

Is there anyone that can teach me? I'm totally new in this and needed for my project.
 
Hi Stefanie, welcome to PF. Fick's Second Law is a very common partial differential equation, and its solution should be described in most books on PDEs (it's also called the diffusion equation). Incropera and DeWitt's Fundamentals of Heat and Mass Transfer and Baluffi's Kinetics of Materials also describe solutions, since this PDE arises in heat and material diffusion problems, respectively.
 
Thanks for the references :)
 
chemeguy said:
I've been doing tons of research on Fick's Law. I understand how to derive it and what its used for. I just need to see an example of it being used.

I need to use this equation to separate water from an alcohol and aromatic component.

Any help is greatly appreciated.

ı need to learn how to derive fick's law please help me thank you?
 

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