Solution of nth-Degree Polynomials and Transfer Functions

Example 13 Solution of nth-Degree Polynomials and Transfer Functions Using the Newton Raphson Method with Synthetic Division and Eigenvalue Method. Consider the isothermal continuous stirred tank reactor (CSTR) shown in Fig. El.3. 

Components A and / are fed to the reactor at rates of Q and q - Q), respectively. The following complex reaction scheme develops in the reactor. 

This problem was analyzed by Douglas [6] in order to illustrate the various techniques for designing simple feedback control systems. In his analysis of this system, Douglas made the following assumptions  

Component R is present in the reactor in sufficiently large excess so that the reaction rates can be approximated by first-order expressions. 

A particular set of values is chosen for feed concentrations, feed rates, kinetic rate constant, and reactor volume. 

---

Example 1.3 Solution of nth-Degree Polynomials and Transfer Functions... 

---