# Magnetohydrodynamic Nanoliquid Thin Film Sprayed on a Stretching Cylinder with Heat Transfer
## 1 Introduction
In case of slender cylinder, the radius is possible to have same as the boundary layer thickness and the motion is taken as axisymmetric instead of two dimensional and the transverse curvature term existing in the governing equation which by force affects the velocity and temperature fields. Related to this notion, the coefficient of skin friction and rate of transfer of heat at the wall are affected too by the normal curvature. Motion past a cylinder and the corresponding transfer of heat characteristics have extensive applications like preparing of heat exchanger tubes, chimney stacks, cooling towers, offshore structure, thin film condensation and paper production. It is also utilized in petroleum industries, plasma studies and geothermal energy extractions. [PERSON] [39] was the the first to analyze the flow in viscous case past a stretching hollow cylinder by evaluating the third order non-linear complicated system. The motion of a fluid outside a stretching cylinder by using Keller-box technique for the solution is elaborated by [PERSON] et al. [40]. [PERSON] [41] obtained the similarity solution of a natural convective study over a non-horizontal stretching cylinder. The numerically solution of the problem of MHD motion and transfer of heat of Newtonian liquid past a stretching cylinder is obtained by [PERSON] [42]. [PERSON] et al. [43] reported the motion of a nanofluid with transfer of heat and magnetic field past a stretching cylinder. [PERSON] and [PERSON] [44] analyzed the motion and transportation of heat of a Newtonian incompressible liquid past a stretching cylinder with variable fluid property. [PERSON] [45] discussed the effect of uniform suction of a nanofliquid motion and transfer of heat past a stretching cylinder. [PERSON] [46] explored the liquid film sprayed on a stretching cylinder. [PERSON] and [PERSON] [47] described the viscous dissipation effects in micro channels. [PERSON] [48] investigated the computational fluid flow with transfer of heat used in micro systems. Other investigations about nanofluids and different interesting problems with respect to different aspects are exist in the references [49; 50; 51; 52; 53; 54]. The literature survey shows that there is a large amount of investigations about the nanofluids. Still there is no exploration to discuss the magnetohydrodynamic thin liquid film sprayed on a stretching cylinder with transfer of heat features of CuO-H\({}_{2}\)O nanofluid. To fill this gap in this regard, claim is exist for the first try to analyze the sprayed liquid thin film effect on magnetohydrodynamic two dimensional CuO-H\({}_{2}\)O nanofluid past a stretching cylinder with heat transfer. Employing appropriate transformations the basic constitutive systems of equations of the problem are converted to dimensionless form. The problem has been solved by using a powerful analytic tool HAM (Homotopy Analysis Method) [55; 56; 57; 58]. The influences of all the emerging parameters on spray rate, velocity profile as well as temperature and pressure distributions have been demonstrated in figures.