Electrophoresis Effect on the Marangoni Convection of Viscous Liquid Over a Riga Plate Associated to Thermophoresis and Non‐Uniform Heat Source

In practical implications for diversified industrial and engineering applications, such as cooling of electronic devices, and coating processes, the precise control over heat and mass transfer is crucial. The present investigation aims at the Marangoni convection in a viscous liquid via a Riga plate by insertion of electrophoresis, non‐uniform heat source, and heat radiation. The Marangoni convection effect, driven by the surface tension gradient due to temperature and concentration variations, is significantly influenced by the presence of electrophoretic forces and thermophoretic movement. The main flow equation is altered into a system of ordinary equations by the assumption of particular similarity rules. Further, the traditional shooting‐based “ Runge–Kutta fourth‐order technique ” is employed for the solution of the transformed model. The parametric analysis is presented through graphs, and the confirmation of the convergence policy is attained by validating the result with earlier studies in specific cases which confirmations a good correlation. The proposed results indicate that electrophoresis enhances the Marangoni convection by varying temperature as well as velocity profiles, leading to more pronounced convective current. Thermophoresis further contributes to the redistribution of heat transport analysis.