Theoretical analysis of the heat transfer effect of viscoplastic nanofluids in process intensified chemical systems

[Display omitted] •Theoretical analysis has been carried out to improve the heat transfer rate.•High potential metallic and oxidized metallic nanoparticles were used.•A direct method has been used to obtain the heat transfer rate.•The two-constant Bingham model has been used as a viscoplastic fluid model.•Convective performance of the Bingham nanofluids has been studied. This work theoretically analyses the enhancement of heat transfer in the process intensified chemical systems i.e. at the entrance region of the cylindrical concentric annuli. This investigation uses water as a base fluid while copper, silver, aluminium oxide and titanium dioxide nanoparticles unite with Bingham fluid. Many of the studies related to nanofluids focus on measuring the increased thermal conductivity of the suspension under static conditions, while the convective performance has received lesser attention. This study inspects two cases namely, case I: The rotating inner cylinder is adiabatic and the stationary outer cylinder is in isothermal state, and case II: The inner cylinder is stationary and outer cylinder is in rotating state which are adiabatic and isothermal respectively. To investigate the component of heat transfer along the radial direction of the cylinder, a numerical technique has been applied assuming conditions from Prandtl’s boundary layer. Moreover, the equation of energy has been iteratively derived. This shows that the thermal effect increases as Prandtl’s number increases, but the increment rate decreases in the entrance region of the considered system. This happens as there are more particles available to start the process of heat transfer which results in the increase of the concentration.