Surface dynamics on Jeffrey nanofluid flow with Coriolis effect and variable Darcy regime

Abstract Stretching and shrinking application ranges from aerodynamic extrusion of plastic sheets, biological implants, condensation of metallic plates to the design of musical instruments. To emphasize the need for proper fluid flow in the mammalian system, the phenomenon of stretching or shrinking suppresses muscle strains and cramps, and also prevents stroke and heart disease. For further insight into the dynamics of blood with Prandtl number of 21.0 in a rotating system, the present study theoretically investigates the flow of a Jeffrey fluid induced with gold nanoparticles over a rotating sheet. The homogenization of the gold nanoparticle with the base fluid is due to the Tiwari‐Das approach. To investigate the flow profiles and dynamics of the sheet, the spectral local linearization method (SLLM) is used to obtain approximate solutions to the resulting system of nonlinear differential equations. The results obtained using the SLLM are validated by taking the limiting case and comparing against published literature results. The obtained results suggest that the velocity of the nanofluid and the heat transfer rate on the stretching and shrinking sheets exhibit an opposing behaviour. A blood sample with gold nanoparticles is advised for a reduced skin friction effect in the stretching sheet but a more significant drag force in the shrinking sheet than in the base fluid. For a unit value of the rotating parameter, the skin drag force reduces by 36% for the primary skin drag force and 57% for the secondary skin drag force.