Abstract

The aim of this study is to examine the Marangoni boundary film problem of water-based CNTs nano-liquids in Darcian porous media. Two types of CNTs, namely Single Wall Carbon Nanotubes (SWCNTs-water) and Multi-Wall Carbon Nanotubes (MWCNTs-water), are considered in the presence of Bénard-Carlo Marangoni convection. The impact of an inclined magnetic field is considered. The heat transport mechanism is analyzed under the impression of nonlinear thermal radiation, heat generation, and absorption. Through Marangoni convection scattering, the system of partial differential equations is established. By utilizing generalized transformation, the model system is converted to an ordinary differential problem and then solved by using the Homotopy Asymptotic Method. It is demonstrated that the volume fraction of nanoparticles raises the velocity at the surface, whereas magnetic and porosity parameters lower the velocity at the surface. Furthermore, the controlling parameters help in increasing the heat transfer rate.

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