Mathematical analysis of nonlinear reaction-diffusion processes in immobilized glucoamylase kinetic in flow calorimetric at all electrodes using asymptotic method

L. Maragatham; S. Nagarani; A. Eswari; Seenith Sivasundaram

L. Maragatham Department of Science \& Humanities, SRIT, Coimbatore, India.
S. Nagarani Department of Science \& Humanities, SRIT, Coimbatore, India.
A. Eswari Department of PS \& IT, AEC \& RI, TNAU, Coimbatore, India.
Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, FL 32114,USA

Abstract

The immobilized glucoamylase kinetic in flow calorimetric nonlinear system is discussed. Approximate closed-form of substrate concentration, effectiveness factor is derived by using Akbari-Ganji method for all values of parameters. The diffusion associated with three electrodes of various geometries (planar, cylindrical and spherical) is studied using this general reaction diffusion indicator parameter and saturated parameters. The problem is numerically simulated using the Maple / MATLAB tool. The outcomes of the analysis are compared to simulated data. There is a good agreement with the simulation results. Also covered were the impacts of various parameters on concentration and effectiveness factor. In addition, the significant contribution of this concentration of substrate and effectiveness factor using experiment values of parameters is represented in graphs and tables. The accuracy errors between numerical simulation with our analytical results are 0.008\% and 0.48\%. This theoretical investigation may be immediately applied to the field of engineering for the kinetics of immobilised enzymes in a flow calorimeter.