Thermally Intense Cilia Generated Motion of Two‐Phase Biological Fluid in a Vertical Tube Under Wall Properties

ABSTRACT The exact solution is obtained for the unsteady fluid–particle suspension model of Rabinowitsch fluid through a vertical tube having ciliated walls. The flow inside the tube is produced by the metachronal waves of cilia. The lubricant approach is used to produce the solution of fluid phase velocity, particle phase velocity, stream function, and temperature. The pressure rise is calculated through a numerical analytical technique. The graphs are constructed to explore the characteristics of the velocity of both phases, thermal analysis, trapping phenomena, pressure gradient, and pressure rise. It is known that the slip parameter diminishes the velocity of both phases. The thermal slip parameter and density number upsurge the thermal profile. The particle phase velocity is less than the fluid phase. The present analysis can be useful in biomedical engineering to construct the heart and lung machines that are used to pump blood in arteries.