Dual solutions for MHD flow of a water-based TiO2-Cu hybrid nanofluid over a continuously moving thin needle in presence of thermal radiation

In this analysis, the flow and heat transfer characteristics of an aqueous hybrid nanofluid with TiO2 Cu as nanoparticles past a horizontal slim needle in presence thermal radiation effect is investigated. We hope that present research applicable fiber technology, polymer ejection, blood flow, etc. The Prandtl number base fluid kept constant at 6.2. considered thin when its thickness does not exceed boundary layer over it. Using similarity transformation method, governing PDEs are transformed to set non-linear ODEs. Then, converted ODEs numerically solved help bvp4c routine from MATLAB. Results indicate dual solutions obtained only moves opposite direction free stream. addition, first stable physically realizable. Besides, second nanoparticle's mass also magnetic parameter lead decrease range velocity ratio for which solution exists.