<p>This study examines the intricate occurrences of thermal and solutal Marangoni convection in three-layered flows of viscous fluids, with a particular emphasis on their relevance to renewable energy systems. This research examines the flow of a three-layered viscous fluid, considering the combined influence of heat and solutal buoyancy-driven Rayleigh-Bénard convection, as well as thermal and solutal Marangoni convection. The homotopy perturbation method is used to examine and simulate complex fluid flow and transport phenomena, providing important understanding of the fundamental physics and assisting in the optimization of various battery configurations. The inquiry examines the primary elements that influence Marangoni convection and its impact on battery performance, providing insights on possible enhancements in energy storage devices. The findings indicate that the velocity profiles shown graphically exhibit a prominent core zone characterized by the maximum speed, which progressively decreases as it approaches the walls of the channel. This study enhances our comprehension of fluid dynamics and the transmission of heat and mass in intricate systems, which has substantial ramifications for the advancement of sustainable energy solutions.</p>