Nanofluid-based bio-thermal reactors for organic waste decomposition using 3D flow through a parallel channel with a nonuniform heat source and chemical reaction

For efficient thermal processing in organic waste decomposition, nanofluid-based bio-thermal reactors have presented a promising technology. This has significant applications in solid waste treatment, agricultural biomass management, and industrial sludge remediation. In the present discussion, a dynamical mathematical model is reported on the three-dimensional radiative flow of a two-phase nanofluid through a parallel channel bio-thermal reactor, where an irregular heat source and reactive diffusion mechanism are clubbed in the model to simulate realistic conditions. The combined effect of thermal radiation, porous medium resistance, and first-order chemical reaction is incorporated in the model, which ensures the behavior of organic waste environments. The distinct behavior of thermophoresis and Brownian motion facilitates uniform waste exposures to thermal gradients. Radiative heat transfer is modeled using the Rosseland approximation, and the nonuniform heat source enhances the flow phenomena. The mathematically designed model gets converted into ordinary as well as dimensionless utilizing similarity rules, and the solution is obtained by employing the Adomian decomposition method, a robust semi-analytical technique. The constructive behavior of the characterizing factors on the flow phenomena is presented briefly via graphs following a strong validation with earlier investigations. However, the important outcomes of the study are: both the magnetization and permeability retard the transverse velocity of the fluid, while the space- and temperature-dependent heat source encourages the heat transport phenomenon, and in reverse, the sink opposes it.