¹ Department of Mathematics, Government First Grade College for Women, Holenarasipura, Karnataka, India
² Department of Mathematics, Government First Grade College, Tumkur, Karnataka, India
³ Department of Mathematics, Government First Grade College, Ramanagara, Karnataka, India
⁴ Department of Studies and Research in Mathematics, Ramanagara PG Centre, Bangalore University, Karnataka 562159, India
⁵Universidad Bernardo O’Higgins, Facultad de Ingeniería, Ciencia y Tecnología, Departamento de Formación y Desarrollo Científico en Ingeniería, Av. Viel 1497, Santiago, Chile

Abstract: This work investigates the MHD nonlinear convection flow of a Jeffrey fluid over a vertical surface, considering cross-diffusion, nonlinear radiation, heat generation, thermophoresis, and convective boundary conditions. The governing PDEs are reduced to nonlinear ODEs using similarity transformations and solved via the RKF-45 method. Validation against published results shows excellent agreement. Parametric analysis reveals that the Deborah number increases velocity and boundary layer thickness, while the Dufour and Soret effects enhance temperature and concentration profiles, respectively. The findings provide useful insights into heat and mass transfer in non-Newtonian MHD flows relevant to engineering applications.

Keywords: Jeffrey fluid; Convection; Thermal radiation; Cross-diffusion; Heat generation.

VOLUME 10 ISSUE 01 2026: 130 – 152