Influence of chemical reaction parameter on heat and mass transfer in nanofluid flow over a nonlinear stretching sheet

Abstract

This study presents a modified operational matrix method (OMM) for solving nonlinear boundary value problems arising in chemically reactive nanofluid flow with Brownian motion and thermophoretic effects. The governing momentum, energy, and concentration equations are transformed into a system of algebraic equations using a forward coefficient-evaluation strategy, significantly reducing computational complexity. The accuracy of the proposed method is verified through L2-truncation error analysis, yielding global errors of the order of 10 ⁻¹⁴ , and by confirming strict satisfaction of boundary conditions. Parametric analysis reveals that increasing the thermophoresis parameter enhances the heat transfer rate by up to 18 %, while higher Brownian motion intensifies nanoparticle dispersion and concentration levels. The Lewis number is shown to reduce concentration gradients markedly, with negligible impact on temperature profiles. Excellent agreement is obtained with previously published benchmark results, confirming the reliability and efficiency of the proposed approach.