## 1 Introduction  
Because of its small thickness, the evaporation of thin film provides high heat transfer rates. This phenomenon appears in micro heat pumps, MEMS systems (Microelectromechanical Systems), and in modern applications of nanotechnology devices ([PERSON] et al. [1]; [PERSON] et al. [2]). As an efficient cooling liquid, nano fluid enhances the transport of heat during thin film evaporation ([PERSON] and [PERSON] [3]). Micro channel configuration study of nano fluid presence effects on the transfers was performed by [PERSON] et al. [4]. It was shown that the nano fluid thermophysical property effect is mainly due to thermal conductivity enhancement. They conclude that increasing Cu-volume fraction engenders that condensation augments and consequently Cu-solutions becomes more stable. Other works concerned the investigation of the thermophysical properties of the nano fluids. [PERSON] [5] showed the amelioration of the conductivity by introducing nanoparticles. A protocol of measuring the thermal conductivity of a nano fluids was performed by [PERSON] et al. [6]. By using a hot-wire apparatus, [PERSON] and [PERSON] [7] evaluated the thermal conductivity of mixture of liquid film and nanoparticles. Also, to predict the thermal conductivity of mixture of liquid film and nanoparticles, [PERSON] and [PERSON] [8] suggested two different protocols. [PERSON] et al. [9] investigated the transfer of heat and mass through a falling solution. They found controversial results, which suggest having a big base of data. Several other works studied the hydrodynamic and thermal behavior of nano fluid numerically and experimentally in confined flows. [PERSON] and [PERSON] [10] observed the transfer of heat by forced convection when a tube is heated for several Reynolds numbers. They prove that the coefficient of convective heat transfer enhances with the volume rate of nanoparticles. To evaluate the Nusselt number when the regime is turbulent, they provide an approximate correlation. Experimental investigation of the heat transfer and the characteristics of flow in a tube, heated externally with a constant flux, is performed by [PERSON] and [PERSON] [11]. The collected data of the mixtures: (water and Cu, TiO\({}_{2}\) particles) and (water and Al\({}_{2}\)O\({}_{3}\) particles), provided an empirical correlation for the Nusselt number. Theses approximations were given when the flows are laminar and turbulent. Under laminar flow regime, the intensity of the heat transfer through a water-Al\({}_{2}\)O\({}_{3}\) mixture is studied by [PERSON] and [PERSON] [12]. For copper tube, they found that an augmentation of Reynolds number and the nano fluid volume concentration ameliorate the heat transfer coefficient by convection. [PERSON] et al. [13] experimentally evaluated the transfer of heat by the convection of nano fluids formed of transmission fluids and graphitic-based nanoparticles. It is shown that the presence of nanoparticles engenders a real augmentation of the heat transfer through the physical systems. [PERSON]. et al. [14] presented a critical investigation of the different numerical methods to compute the thermophysical properties of several nano fluids [15; 16; 17; 18; 19]. By using a pendant droplet method, [PERSON] et al. [20] evaluated the tension of surface relative to a three types of nano fluid (laponite-water, silver-water and Fe\({}_{2}\)O\({}_{3}\)-water). [PERSON] et al. [21] studied nano fluid droplets evaporating under DC conditions. They revealed several evolutions relative to contact angle, deposit patterns and contact radius. It is shown that if we apply the DC potential, the TiO\({}_{2}\) nano fluids receding contact is smooth and continuous. Also, the deposit patterning is uniform. Furthermore, the nanoparticles interactions are different compared to the DC potential case. [PERSON] et al. [22] tested the evaporation of nano fluid based on solar energy.