Analytical and numerical investigation of MHD viscoelastic flow with heat and mass transfer in an asymmetric wavy channel

This study presents a comprehensive analytical and numerical investigation of magnetohydrodynamic (MHD) viscoelastic fluid flow with heat and mass transfer in an asymmetric wavy channel. The primary objective is to explore the behavior of chemically reactive, thermally radiating non-Newtonian fluids under complex boundary conditions and oscillatory pressure gradients. A distinctive feature of this work lies in the formulation and solution of complex differential equations, which are decomposed into real and imaginary components to capture the full dynamics of the system. Three solution techniques—including one exact analytical and two semi-analytical methods—are employed, enabling a robust validation framework. The novelty of the study stems from the comparative analysis of semi-analytical methods against exact solutions, offering a unique benchmark for future modeling efforts. Parametric studies reveal that specific physical parameters selectively influence either the real or imaginary components of velocity, temperature, and concentration fields. These findings have direct relevance to engineering applications such as thermal management, biomedical flows, and porous media transport.