Conjugated role of variant-shaped ternary hybrid nanoparticles in MHD Jeffery–Hamel Water-EG flows: New mathematical model

Abstract

Present investigation uncovers thermal performance of MHD Jeffery-Hamel flows of water-ethylene glycol volume-equivalent mixtures drenched with ternary hybrid moly-alumina-titania nanoparticles of various shapes in the same base fluid (i.e. EG-H₂O〈50 %-50 %〉). The new mathematical model has been proposed to befit thermo-physical characteristics of the ternary nanofluid that encompasses the nanoparticles with distinct viscosities and thermal conductivities. In the primal stage, the governing PDEs are reduced to ODEs using the similarity reformations. In the next stage, the ensuing equations are dealt both numerically by applying the 4th-5th order Runge-Kutta-Fehlberg method and analytically through the adoption of Duan–Rach Adomian approach. The present findings are compared with the results of HAM-based Mathematica BVPh 2.0 package and those available from the literatures for several selected cases. The variations of tested parameter (i.e. Reynolds number Re ∈ [40∶ 274], Hartmann number ‘’Ha ∈ [0∶ 1000] and volume fraction is φ∈ [0∶ 0,08]) in stream and temperature profiles as well as in skin friction and Nusselt number are analyzed under the effects of variant parameters of interest such as nanoparticle volume fraction and nanoparticle shape factor. Finally the significant remarks from the findings are also concluded. The addition of solid nanoparticles to EG-water mixtures increases skin friction, causing a toll on the surface. The Nusselt number reveals unique contributions of each nanoparticle, with increasing MoS₂ or Al₂O₃ nanoparticles deterring heat flux performance. However, adding TiO₂ nanoparticle volume fraction alone boosts heat transfer performance in ternary hybrid water-EG nanoliquids passing through convergent-divergent channels.