Magnetohydrodynamic (MHD) Peristaltic flow of blood containing cylindrical shaped gold nanoparticles in a non-uniform tube in the presence of Joule dissipation

This research scrutinizes the peristaltic transport of blood-based nanofluid comprising cylindrical-shaped Gold (Au) nanoparticles in a non-uniform tube under the influence of magnetic field. Effects of Joule heating and viscous dissipation are also explored. Governing equations are firstly modelled and then simplified by utilizing long wavelength and small Reynold number assumptions. Exact solutions are computed in terms of modified Bessel's functions. The effects of concerned physical parameters on the dimensionless velocity, trapping, tem-perature, magnitude of pressure gradient, heat transfer rate is discussed through graphs and tables. Velocity of the fluid decreases by increasing the magnitude of non-uniform parameter. Heat transfer rate is high in the uniform channel as compared to the tapered channel. Moreover, reduction in temperature and axial pressure gradient is also observed in non-uniform channel in comparison to uniform channel. The computation of exact solutions that can be used to test the accuracy of various numerical schemes applicable to these types of complex flow problems is also a novel aspect of this study. Hopefully, this analysis will be helpful in a variety of biomedical therapies, such as in drug delivery, magnetic resonance imaging and magnetic hyperthermia.