Forced Convective Flow of a Nanoliquid due to a Stretching Cylinder with Free Stream

Steady, transverse boundary layer flow and heat transfer caused by an exponentially stretching cylinder of constant radius immersed in an uniform flow of an incompressible, viscous nanoliquid are considered in thepresentstudy. Thepaperdiscussesasystematicprocedureofobtainingalocalsimilaritytransformation that reduces the governing partial differential equations into ordinary differential equations. Power series solution is then obtained for velocity, temperature and nanoparticle concentration distributions using the uni-variate differential transform method. Help is sought from Domb-Sykes plots in making a decision on the minimum number of terms required in the power series expansion to ensure convergence. Radius of convergence is quite naturally suggested by these plots. Pad´ e approximants are then appropriately decided upontoincreasetheradiusofconvergence. Thealgorithmusedsucceedsincapturingboundaryeffects,free stream flow effects and nanoparticle effects on flow and heat transfer. An important finding of the paper is thepredictionofacceleratedcoolingofthestretchingcylinderduetothenanoparticlesinthecoolingliquid. Inhavingadesirablepropertyfortheextrudingcylindernanoliquidcoolantseemsanattractiveproposition.