Numerical analysis of thermophoretic pollutant deposition in chemically reactive radiative magnetohydrodynamic TiO₂ nanofluid flow over a permeable howarth wavy cylinder with heat generation

A wide range of industries and scientific fields rely on MHD, heat source, pollutant concentration, and chemical reaction impacts. The flow is modeled over a permeable Howarth wavy cylinder, which introduces geometric complexity often ignored in favor of flat or simple curved surfaces. A novel inclusion of heat generation along with radiative heat transfer provides a more physically consistent thermal model, especially relevant in high-temperature industrial or environmental processes. The flow of a nanofluid past a circular sinusoidal cylinder with a stagnation point, three-dimensional incompressible flow, heat source, pollutant concentration, and chemical reaction remains unexplored. Using a kerosene-based TiO2 nanofluid, this study numerically addresses this gap. Through similarity transformations, the set of PDEs and BCs is reduced to ODEs. By using MATLAB inbuilt ssolver bvp4c then solves these simplified equations and provides graphical representations of the nondimensional components, which are used to characterize the flow behavior in terms of their profiles.