Significant Production of Thermal Energy in Partially Ionized Hyperbolic Tangent Material Based on Ternary Hybrid Nanomaterials

Nanoparticles are frequently used to enhance the thermal performance of numerous materials. This study has many practical applications for activities that have minimize losses energy due several impacts. investigates inclusion ternary hybrid nanoparticles in a partially ionized hyperbolic tangent liquid passed over stretched melting surface. The fluid motion equation is presented by considering rotation effect. expression derived contribution Joule heat and viscous dissipation. Flow equations were modeled using concept boundary layer theory, which occurs form coupled system partial differential (PDEs). To reduce complexity, PDEs (partial equations) transformed into set ordinary (ODEs) engaging similarity transformations. Afterwards, converted ODEs handled via finite element procedure. utilization effectiveness methodology demonstrated listing mesh-free survey comparative analysis. Several important graphs prepared show emerging parameters on velocity temperature profile. findings method powerful tool handling complex system, arising mechanics other related dissipation applied science. Furthermore, enhancements Forchheimer parameter Weissenberg number necessary control velocity.