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Pulsatile Darcy flow of water‐based thermally radiative carbon nanotubes between two concentric cylinders

It is perceived that the addition of nanoparticles has increased the heat transfer capabilities of ordinary fluids significantly for both turbulent and laminar flow regimes. The current investigation analyzes the effects of carbon nanotubes (CNTs) on the pulsatile flow and heat transfer characteristics of viscous fluid between two concentric cylinders in the presence of thermal radiation effects. The flow of Magneto‐hydrodynamic (MHD) viscous fluid in a Darcy type porous medium is driven by the pressure gradient, assumed as a periodic function of time. The fluid is taken as optically thick and radiations can travel only a short distance within the fluid. The magnetic field is applied perpendicular to the direction of flow and the induced magnetic field is considered negligible. The conventional governing equations are based upon partial differential equations affected by the viscosity of the base fluid, effective thermal conductivity, and thermophysical characteristics of CNTs nanoparticles. The exact solutions are obtained in the form of the modified Bessel functions of the first and second kind. The effect of the flow control parameters like thermal radiation parameter Nr , nanoparticles volume fraction ϕ , and Darcy number Da are illustrated through graphs. Based on a comprehensive analysis, it is concluded that the addition of single‐walled carbon nanotubes provides higher velocity and temperature distribution of nanofluid when compared with the multi‐walled carbon nanotubes.