Film Flow of Nano-Micropolar Fluid with Dissipation Effect

The physical problem of the thin film flow of a micropolar fluid over a dynamic and inclined substrate under the influence of gravitational and thermal forces in the presence of nanoparticles is formulated. Five different types of nanoparticle samples are accounted for in this current study, namely gold Au, silver Ag, molybdenum disulfide M_oS₂, aluminum oxide Al₂O₃, and silicon dioxide SiO₂. Blood, a micropolar fluid, serves as the common base fluid. An exact closed-form solution for this problem is derived for the first time in the literature. The results are particularly validated against those for the Newtonian fluid and show excellent agreement. It was found that increasing values of the spin boundary condition and micropolarity lead to a reduction in both the thermal and momentum boundary layers. A quantitative decay in the Nusselt number for a micropolar fluid, as compared to a Newtonian one for all the tested nanoparticles, is anticipated. Gold and silver nanoparticles (i) intensify in the flow parameter as the concentration of nanoparticles increases (ii) yield a higher thermal transfer rate, whereas molybdenum disulfide, aluminum oxide, and silicon dioxide exhibit a converse attitude for both Newtonian and micropolar fluids. The reduction in film thickness for fluid comprising gold particles, as compared to the rest of the nanoparticles, is remarkable.