Numerical study of three-dimensional unsteady viscous fluid flow across parallel rotating discs with an upward fluctuation and thermal radiation

Fluid flow through parallel rotating surfaces is used in numerous manufacturing and technical operations, including flywheels, engines for gas turbines and automobiles, etc. The nanofluid flow through stretching and spinning discs is examined in the present study. The flow is considered under the effect of thermal radiation, chemical reaction, modified Hall current, activation energy, exponential heat source/sink, and magnetic field. The flow is modeled in the form of a coupled nonlinear system of PDEs, which are reformed into the lowest order by employing the similarity method. The solution is obtained by using the ND-solve technique. For validation of the results, the numerical outcomes are compared to existing studies for the limiting case. It has been noticed that both results have the best similarity and concluded that the current results are consistent. The relative percent error between the published study and present results is 0.006497 % at Φ 2 = −1.0 (rotation factor of the upper disc), where it is reduced up to −0.149214 % at Φ 2 = −0.3. Furthermore, from the graphic results, it can be noticed that the fluid velocity drops with the varying impact of the magnetic field, whereas an enhancement is observed in the temperature curve. The influence of the thermal radiation also improves the thermal profile.