Dr. R. Usha Rani
@mce.edu.in
Assistant Professor and Mathematics
Meenakshi College of Engineering
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
S. Krishnakumar, R. Usha Rani, K. Lakshmi Narayanan, and L. Rajendran
Elsevier BV
R. Usha Rani, Navnit Jha, and Lakshmanan Rajendran
Elsevier BV
Ramu Usha Rani, Lakshmanan Rajendran, and Marwan Abukhaled
Springer Science and Business Media LLC
Vannathamizhan Silambuselvi, Sekar Rekha, Ramu Usha Rani, Lakshmanan Rajendran, Karuppiah Angaleeswari, and Michael E.G. Lyons
Elsevier BV
J. Saranya, R. Usha Rani, M. E. G. Lyons, M. Abukhaled, and L. Rajendran
AIP Publishing
K. Lakshmi Narayanan, J. Kavitha, Ramu Usha Rani, Michael E.G. Lyons, and Lakshmanan Rajendran
Elsevier BV
An amperometric glucose biosensor's theoretical model is discussed. The glucose oxidase enzyme in this model is immobilized in conducting polypyrrole.This model includes a nonlinear term that corresponds with the kinetics of enzyme reactions. The solution of coupled nonlinear reaction diffusion equations is obtained using new approach of Taylor method . Additionally, a comparison of numerical simulation and analytical approximation is provided. There is an agreement between numerical results and analytical expressions.
Sekar Rekha and
Elsevier BV
A mathematical model developed by Lyons and co-workers (Analyst, 121, (1996) 715–731) describes a substrate to form a complex with the immobilized catalyst is discussed. The hyperbolic function method is applied to solve the nonlinear equations in the electroactive polymer film. The resulting analytical expression of the substrate concentration is compared to the numerical results and previously available results. A satisfactory agreement is noted. The innovative method yields a compact set of analytical approximations that are easy to compute and simple to validate
Singaravel Anandhar Salai Sivasundari and
Elsevier BV
The mathematical models of biofiltration of mixtures of hydrophilic (methanol) and hydrophobic ( pinene) volatile organic compounds (VOCs) are explored in this paper. This model is based on diffusion equations that contain a nonlinear term linked to the enzymatic reaction's Michaelis-Menten kinetics. An approximate analytical expression of methanol and pinene concentration profiles in the air and biofilm phase were derived using Taylor's series and Akbari-Ganji's methods. In addition, the numerical simulation of the problem using the Matlab programme to investigate the system's dynamics is reported in this work. Graphic results are presented to illustrate the solution, and numerical data is analyzed. The analytical and numerical data are in good agreement.
Ramu UshaRani, Lakshmanan Rajendran, and Marwan Abukhaled
International Information and Engineering Technology Association
A mathematical model of reaction-diffusion problem with Michaelis-Menten kinetics in catalyst particles of arbitrary shape is investigated. Analytical expressions of the concentration of substrates are derived as functions of the Thiele modulus, the modified Sherwood number, and the Michaelis constant. A Taylor series approach and the Akbari-Ganji's method are utilized to determine the substrate concentration and the effectiveness factor. The effects of the shape factor on the concentration profiles and the effectiveness factor are discussed. In addition to their simple implementations, the proposed analytical approaches are reliable and highly accurate, as it will be shown when compared with numerical simulations.
R. Usha Rani and L. Rajendran
Elsevier BV
Ramu Usha Rani, Lakshmanan Rajendran, and Michael E.G. Lyons
Elsevier BV
Lilly Clarance Mary and
Elsevier BV
The mathematical model for mass transfer with reversible homogeneous reactions is discussed. Estimation of mass transfer to and from electrodes for this reaction needs the analytical solution of nonlinear reaction-diffusion equations. Taylor's series method and hyperbolic function method are used to solve the system of nonlinear reaction-diffusion equations. Approximate closed-form of analytical expression of the concentration of substrate, reactant and product are derived for all values parameters. The empirical results are compared with the simulation results, and there is noticeable agreement. The effect of various parameter on aqueous carbonate-species concentration are also discussed. The current density and homogeneous equilibrium constant are also obtained.
R. Usha Rani and L. Rajendran
AIP Publishing
R. Usha Rani and L. Rajendran
Elsevier BV