Mathematical Modeling - Adsorption Column using Duhamel Theorem
Mathematical Modeling - Adsorption Column using Duhamel Theorem
(OP)
Hi all!
I´m trying to understand all the equations of the article in attachment and have many difficulties. Can someone help me to deduce the equation 4 and how I use de Duhamel Theorem to go to the equation 6 for the equation 24?
Thanks for any help here!!!
I´m trying to understand all the equations of the article in attachment and have many difficulties. Can someone help me to deduce the equation 4 and how I use de Duhamel Theorem to go to the equation 6 for the equation 24?
Thanks for any help here!!!





RE: Mathematical Modeling - Adsorption Column using Duhamel Theorem
The author is going from a solution for a step (Heaviside) change in concentration, to a solution where the concentration evolves over time,
you'll notice the time derivative of u bar in (24)
this is equivalent to converting the step reponse to the "impulse response" to a Dirac delta function.
a commonly used approach,