The work's goal is to learn more about how a magnetic field, Brownian motion, and thermophoresis diffusion influence convective heat transfer in a micropolar-nanofluid flow's laminar boundary layer. Near a vertically moving, permeable plate, the complex fluid is subjected to MHD. The MATLAB application bvp4c was utilized to simplify the governing nonlinear and coupled equations for the micropolar-nanofluid, leading to the solution of the ensuing ordinary differential equations (ODEs). Graphs have been used to analyze the effect of different relevant active factors on the flow field and temperature. The results demonstrate that the micro-rotation of the nanoparticles taken into account and in suspension becomes significant for the complex fluid in the presence of the magnetic field. Analysis of the generation entropy shows that the surface is a significant source of irreversibility. There is no discernible effect of micropolarity on the relationship between Brownian and thermophoresis numbers and entropy generation.
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