Dual Solutions of Boundary Layer Flow and Heat Transfer in Hybrid Nanofluid over a Stretching/Shrinking Cylinder

The boundary layer flow over a stretching/shrinking cylinder in hybrid nanofluid with the effects of suction, partial slip and convective condition is studied. Hybrid nanoparticles Al2O3 TiO2 water as based fluid are considered study. differential equations transformed to ordinary by employing similarity variables. numerical results obtained using bvp4c solver MATLAB software. influence volume fraction (Al2O3-TiO2 water-based fluid), curvature parameter, suction parameter Biot number on velocity profile, temperature skin friction coefficient heat transfer rate discussed. indicate that for shrinking surface case, dual solutions exist certain range parameter.