NUMERICAL SIMULATIONS ON THE EFFECT OF RECYCLE AND TIME DELAYON THE CUBIC AUTOCATALYTIC REACTION MODEL

Yakubu, A. A.¹, Yatim, M. Y.²

¹Department of Mathematical Sciences, Ibrahim Badamasi Babangida University, Lapai, Nigeria;

²School of Mathematical Sciences, UniversitiSains Malaysia, P.O.Box 11800, Penang, Malaysia

email: aaishaty@ibbu.edu.ng

ABSTRACT

The effect of recycle and time delay on the cubic autocatalytic reaction model with linear decay in the absence of an autocatalyst in a continuous stirred tank reactor (CSTR) is studied. The model comprises a system of nonlinear ordinary differential equation which describes the autocatalytic behavior of two chemicals (a reactant and an autocatalyst) flowing into the CSTR. When the system is affected by recycle (using different values of ) without time delay , the concentration of the reactant decomposes until it reaches equilibrium while the concentration of the autocatalyst oscillates in an unstable pattern, but with increase in time  . However, when the system is affected by both recycle and time dalay, the concentrations oscillations is quite small and unstable for the autocatalyst.

Keywords: Continuous stirred tank reactor (CSTR),Nonlinear ODE, Recycle and Time delay