Thermal performance of unsteady Blasius Rayleigh Stokes nanofluid flow in a non-Newtonian model driven by a waste discharge concentration

Ferrofluids have been used across reported applications, such as magnetic nanoemulsions, biosensing, imaging in medicine, and magnetic impedance. Additional uses include vibration control, energy collection, transfer, and water treatment. The current research studies the behavior of Blasius Rayleigh Stoke's unsteady flow induced by a non-Newtonian model (Williamson fluid) driven by a non-Fourier heat flux and pollutant concentration. The water is considered as a base fluid and Fe₃O₄ is a nanoparticle, constituting a nanofluid model defined by the Tiwari-Das model. The appropriate factors are engaged to develop the PDEs into requisite posited ODEs. The bvp4c technique is utilized to achieve the numerical solution of transfigured ODEs. The graphical representations are used to comprehend the results and examine the flow behavior of relevant problem factors. Results indicate that the velocity profile decelerates while the temperature and concentration profiles intensify for mounting values of We_b. In addition, the concentration profile of the nanofluid upsurges due to the larger influence of the external pollutant parameters δ_b, and δ_c. Moreover, the heat transmission rate heightens with change values of φ, and Σ_b but it is significantly declined owing to the greater change in the values of γ_b, and τ_b.