Int. J. Appl. Comput. Math (2024) 10:82 https://doi.org/10.1007/s40819-024-01709-5 ORIGINAL PAPER Effect of Magneto Convection Nanofluid Flow in a Vertical Channel K. Shreedevi 1 · G. Yamanappa 1 · C. Siddabasappa 2 · S. Sindhu 3 Accepted: 20 February 2024 © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024 Abstract An analytical study of the effect of the magneto-convective flow of immiscible fluids through a vertical channel has been investigated in the presence of a chemical reaction. One region is saturated by electrically conducting incompressible fluid, and the other is saturated by nanofluid in a vertical channel with constant transport properties. The coupled nonlinear governing equations are solved by the regular perturbation method, with the Brinkman num- ber as a perturbation parameter since its value is always less than unity. The results are discussed in detail using plots to analyze the flow phenomena. The increase in thermal and mass Grashof numbers enhances the fluid velocity and temperature profile, whereas Hart- man number, solid volume fraction, and chemical reaction parameters exhibit the opposite effect. The effect of an increase in the nanoparticle volume fraction opposes the fluid flow and diminishes the temperature distribution due to the enhanced viscosity of the nanofluid. Keywords Magnetohydrodynamics · Nanofluid · Chemical reaction parameter · Solid volume fraction List of Symbols E o Applied electric field (V/m) σ e Electrical conductivity (S/m) B K. Shreedevi kalyanshreedevi@gmail.com G. Yamanappa yamanappa067@gmail.com C. Siddabasappa apmath91@gmail.com S. Sindhu sindhusundars1@gmail.com 1 Department of Mathematics, Sharnbasava University, Kalaburgi, Karnataka 585103, India 2 Department of Sciences and Humanities, CHRIST (Deemed to be University), Bengaluru, Karnataka 560 074, India 3 Department of Mathematics, Manipal Institute of Technology, Bengaluru Manipal Academy of Higher Education, Manipal, India 0123456789().: V,-vol 123