Optimization of a Proposed Cooling Bed with Nanoparticles for Superheated Sheet-Metal Rolling

A novel configuration for cooling system of a superheated sheet metal rolling is proposed. The system consists of a water pool containing nanoparticles lies under a variable velocity stretching sheet. The main goal of present work is to model the problem as a boundary layer nanofluid flow and present an analytical solution for it, based on appropriate selection of similarity variables. Different effective parameters including the magnetic field, solid volume fraction, heat radiation, as well as viscous dissipation are considered. In addition to simplification of a complicated problem with a simple model base on a similarity solution, the novelty of this work is to utilize non-dominated sorting genetic algorithm with five decision variables for its optimization. The results reveal that by enhancing the volume fraction of nanotube particles, the velocity slightly rises, while change in the temperature is more considerable. At higher magnetic field parameters, the velocity profile descends and temperature ascends. Higher Eckert number, as well as bigger irradiation parameter, causes more heat generation in nanofluid and enhances the temperature. We made a comparison between three criteria decisionmaking methods and found that lower skin friction coefficient and higher Nusselt number are achieved by TOPSIS and LINMAP methods, where the optimum values for friction factor and Nusselt number are 0.54 and 1.86, respectively.