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Derivation Of Differential Equation For A Trickle Bed Catalyst Sphere


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#1 Herakles

Herakles

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Posted 23 March 2023 - 04:49 PM

Hey, could someone please give me a little more detail on the steps. I drew in the volume (spherical shape, radius of the catalyst particle), drawn in mass flows. What am I supposed to do now. How must the diffusion processes in the pores and at the boundary layer be taken into account? Especially the partial wetting confuses me... Thank you so much in advance!

Make the following assumptions:

  • Reaction takes place within the liquid-filled pores at the active centers of the heterogeneous catalysts.
  • The catalyst is not completely wetted with liquid. the wetting is described with 'w' or not wetted with '1-w', so that two different ways for the mass transport of the educts and products must be taken into account
  • The pore in the catalyst grain (in spherical form) and thus also the liquid is one-dimensional to be accounted for along the radius 'r'. As process engineering boundary conditions are to take into account:
    • Some of the pores are wetted with a liquid film
    • part of the pores are in contact with the gas phase
  • Reaction A(g) + B(l) → P(l)
  • Component B is supplied with the liquid flow.
  • Component A is supplied with the gas flow (pA = pges), not on the gas side mass transfer limitation
  • B is over-stoichiometric → reaction runs pseudo-1st order with respect to the Component A off

Editing notes:

  • Make a meaningful sketch of a balance area and its positioning in the apparatus the volume element to be balanced.
  • Name all incoming and outgoing material flows as well as all source, sink and Accumulation dates (non-stationary balance) in the balance area.
  • Explain all symbols used.
  • Name any assumptions made.
  • Based on your own sketch, derive from a general differential balance of the Material flows the differential equation for the trickle bed catalyst sphere forth for the case a constant wetting. Specify initial and boundary conditions.

https://encrypted-tb...FXNm1Y&usqp=CAU

 



#2 breizh

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Posted 23 March 2023 - 07:46 PM

Hi,

Sorry we don't do homework .If you supply your work and let us know your difficulties, you make get the attention of one member of this forum.

BTW did you ask our best friend ? Google ,you will be amazed. 

Key words : trickle bed reactor design equation

 

Good luck

Breizh 



#3 Herakles

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Posted 23 March 2023 - 08:09 PM

 
I don't want anyone to do the math for me, just a description of how to proceed. I just can't see through it. I don't understand which mass transport processes have to be taken into account and where and what to do with the information about partial wetting :(


#4 breizh

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Posted 23 March 2023 - 08:34 PM

Hi,

Consider this link :

http://websites.umic...of-trickle.html

 

Breizh



#5 Herakles

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Posted 23 March 2023 - 08:42 PM

Unfortunately I don't have access to it, could you please upload the file for me? :)

 

https://i.gyazo.com/...680b2bcc05d.png



#6 breizh

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Posted 23 March 2023 - 09:28 PM

Hi,

Sorry I can't offer more; you may have to go to library.

Edit

Note :Bottom of the page there is an example (blue typing) , click on it to get more details 

Good luck

Breizh



#7 panagiotis

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Posted 30 March 2023 - 11:26 AM

It is better to do it yourself. Just make a start and upload a screenshot with your effort.And I am prerry sure someone will guide you how to continue.
It will be more beneficial than someone else does it for you!




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