Chemical Engineering Hand Written_Notes_Part_3

Chemical Engineering Hand Written_Notes_Part_3 - 8 1....

Info iconThis 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 f 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 f 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 f 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
Background image of page 1

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

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

This note was uploaded on 11/26/2011 for the course EGN 3840 taught by Professor Mr.shaw during the Fall '11 term at FSU.

Page1 / 2

Chemical Engineering Hand Written_Notes_Part_3 - 8 1....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online