{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Chemical Engineering Hand Written_Notes_Part_3

Chemical Engineering Hand Written_Notes_Part_3 - 8 1...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
8 1. MATHEMATICAL MODELING AND SIMULATION where 0 represents n × 1 zero vector. Here F ( x ) R n represents n dimensional function vector de fi ned as (2.24) F ( x ) = h f 1 ( x ) f 2 ( x ) ... f n ( x ) i T 2.3. Optimization Based Formulations. Variety of modeling and de- sign problems in chemical engineering are formulated as optimization problems. Example 3 . Consider a simple reaction A B modelled using the following reaction rate equation (2.25) r a = dC a /dt = k o ( C a ) n exp( E RT ) carried out in a batch reactor. It is desired to fi nd the kinetic parameters k o , E and n from the experimental data. The following data is collected from batch experiments in a reactor at di ff erent temperatures Reaction Rate Concentration Temperature r a 1 C a 1 T 1 r a 2 C a 2 T 2 .... .... .... r aN C aN T N Substituting these values in the rate equation will give rise to N equations in three unknowns, which is an overdetermined set equations. Due to experimental errors in the measurements of temperature and reaction rate, it may not be
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern