Mason-Weaver equation and time dependend solutions

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SUMMARY

The discussion centers on the Mason-Weaver concentration equation, specifically its application to the sedimentation of coffee particles in a cylindrical vessel. The user seeks to understand how concentration varies with time at a fixed height, requiring insights into the constants involved in the equation. Key concepts mentioned include "settling velocity" and "terminal velocity," which are influenced by particle size, density differences, and fluid viscosity. The user expresses difficulty in finding practical examples beyond basic Wikipedia entries.

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  • Mason-Weaver concentration equation
  • Understanding of settling velocity
  • Knowledge of terminal velocity in fluid dynamics
  • Basic principles of sedimentation in cylindrical vessels
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  • Research practical applications of the Mason-Weaver equation in sedimentation processes
  • Study the effects of particle size and fluid viscosity on terminal velocity
  • Explore numerical methods for solving time-dependent concentration equations
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Researchers, chemical engineers, and students studying fluid dynamics and sedimentation processes, particularly those interested in the Mason-Weaver equation and its applications in real-world scenarios.

Rosengrip
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Hello,

I need your help or rather guidance in relation to Mason-Weaver concentration equation. I would like to learn more on that matter because I need to describe a specific problem with it (sedimentation of coffee particles in a cylindrical vessel).

I can qualitatively describe how concentration changes with respect to height in vessel (exponent function), but what I would need is a relation to how concentration changes with respect to time on a fixed height and approx. values of different constants that take place in the equation.

All the material I got from the internet is from Wikipedia page, I can't find any good examples to point me in the right direction, so I came asking here.

Thanks for your time.
 
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The concept of "settling velocity", the terminal velocity of a particle in a medium exhibiting non-zero bouyancy (either positive or negative), might be useful here.
Terminal velocity is dependent on the size (radius) of the particle, the difference in density, and the viscosity of the fluid.
 

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