One of the advanced products of nanotechnology having notable mechanical and physical properties are the Single-Walled Carbon Nanotubes (SWCNTs). This motivated us to investigate the effect of single-walled carbon nanotubes (SWCNTs) suspended in a microchannel with corrugated walls under the effect of electromagnetic hydrodynamic flow (EMHD). The corrugation of the wavy walls are described by periodic sinusoidal waves of small amplitudes either in phase or out of phase. The problem simulated with a system of governing equations such as potential, momentum, and heat equations were solved analytically using the perturbation method. The behavior of nanofluid velocity, temperature, volumetric flow rate, and average velocity investigated under the multi-conditions of using three models for the sizes and shapes of carbon nanoparticles tubes. By addition of SWCNTs, the fluid velocity is reduced at the center of the channel by providing resistance to the fluid motion. The size and concentration of SWCNTs influence enhance the rate of heat transfer. Also, the Xue's model has the highest heat transfer rate when compared to the Maxwell and Hamilton-Crosser's (H-C) models. Finally, the obtained results for the flow rate were compared with previously published data and appeared in good agreement.
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