Week 5.1 - Compact Notation Derivation for a simple Mechanism

AIM: Aim of this study is to derive the reaction rate for the given reaction mechanism.

Introduction: In the Cantera, for solving a reaction mechanism, along with operating conditions such as pressure and temperature, the rate of a reaction is needed to be provided in order to get the solution. Hence, this study focuses on developing a reaction mechanism to get the reaction rate.

Mechanism:

Reactant matrix is given by,

The reactant matrix is given by,

V’_ji = `|quad|`

The product matrix is given by,

V’’_ji =

V_ji = V’’_ji – V’_ji

V_ji =

Hence, the rate of the first reaction is given by,

q_1 = K_f1 – K_r1

؞ q_1 = K_f1 – K_r1

Similarly,

Rate of the second reaction,

q_2 = K_f2 – K_r2

Rate of the third reaction,

q_3 = K_f3 – K_r3

Rate of the fourth reaction,

q_4 = K_f4 – K_r4

PS: The complete answer is provided in the word file named "Challenge 5.1.docx".