Thermal outcomes of Williamson pseudo-plastic nanofluid with microorganisms due to the heated Riga surface with bio-fuel applications

The thermal enhancement in heat transfer using nanoparticles is a fundamental interest of researchers due to its significant applications in engineering and industrial processes. The objective of the current research is to explore the novel thermal impact of Williamson pseudo-plastic nanofluid containing the microorganism due to bidirectional moving on the Riga surface. The results are inspected in the presence of exponential space-based heat source, activation energy, and thermal radiation. Moreover, melting heating transportation is also considered. The formulated dimensional system in terms of differential equations is numerically tackled by the shooting technique. The consequences of emerging interesting parameters on flow fields are scrutinized and elaborated with the help of graphs. The summarized results show that the velocity field declined for the modified Hartmann number. An enriched thermal concentration profile is noted due to the higher values of the melting parameter. Moreover, the microorganism profile is enhanced with microorganism Biot number and melting parameter.