Abstract
The performance of an enzymatic membrane-less and mediator-less glucose fuel cell is theoretically discussed. This paper solves a system of strongly nonlinear differential equations following Michaelis–Menten kinetics analytically. Simple approximate expressions for the concentration of glucose and hydrogen ions have been derived using a new analytical approach. Glucose concentration profiles are seen to drop throughout the cell. A careful study of the system parameters on concentration and current has been done. Sensitivity analysis has been carried out to understand the impact of each parameter on current. Satisfactory agreement is noted between the numerical results obtained through MATLAB and the results obtained by the new analytical approach. Tables and figures are presented to support the conclusions achieved.
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