The motivation of the current study is to examine heat transmission through a non-Newtonian multiphase flow. Casson fluid is taken as the base fluid to form a particulate flow suspended with dust particles. Metachronal propulsion of two-phase flow is caused by the back and forth motion of tiny hair-like structures furnished at the opposite edges of the artery. Heat effects are further enhanced in the Magnetohydrodynamic (MHD) flow with the application of Lorentz force and nonlinear thermal radiation. An analytic solution is achieved for coupled differential equations by considering the assumption of wavelength and ignoring the inertial forces. Cilia-driven flows are very significant in removing or discarding mucus from lungs, arteries, and bloodstream. Finally, the analytic solution is validated by conducting a comprehensive parametric study that reveals that strong magnetic field and porosity parameter hamper the motion of the Casson fluid. More thermal energy is contributed to the system of multiphase flow by strong Hartman number.
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