Abstract
The current work aims at studying a constructed mathematical model with an examination of heat transfer in water-based nanofluids containing ferromagnetic nanoparticles flowing between parallel stretchable spinning discs with variable viscosity influence and variable conductivity. The nonlinear coupling of the ordinary differential equations of the momentum and energy equation with the partial differential equations based on the Navier-Stokes equation employing some influential similarity transformations. The transformed system of ordinary differential equations has been solved through the Chebyshev spectral collocation procedure (CSCP). The numerical results for the velocity and temperature distributions are shown in terms of graphical presentations. The existing available literature was utilized to test for validation of the numerical findings. The outcomes demonstrate that the stretching of the lower and upper disks and spinning parameters strengthens the impetus boundary layer and diminished the temperature boundary layer, whilst the variable thermal conductivity improved the convective and conductive strength of the ferromagnetic nanoparticles considered, and the Fe3O4 nanofluid displays a higher thermal conductivity strength than the Mn-ZnFe2O4 nanofluid.