Numerical analysis of nonlinear time‐fractional fluid models for simulating heat transport processes in porous medium

Abstract

AbstractHybrid nanomaterials offer potential scope for increasing numerous novel applications when engineered to deliver availably functional properties. In the current assessment, a novel fractional constitutive relationship for buoyance‐driven flow and heat transfer has been developed in order to control the flow and heat transfer behavior. The fluid flow is produced by a permeable moving surface and is exposed to thermal radiation along with an applied magnetic field. This study employed the SiO2/MoS2 hybrid nanoparticles with different mass ratios in water as the base fluid. Moreover, the Darcy expression characterizes the porous spaces with variable porosity and permeability. Governing fractional PDEs are nonlinear and solved numerically with finite‐difference discretization and the L1‐ algorithm. The results show that heat transfer rate enhanced 8% by enhancing the thermal fractional parameter. It is also found that the combination of two nanoparticles in water significantly contributes to heat transfer compared to the presence of a single particle. Further, thermal radiation significantly contributes to heat transfer in fluid flow. Not surprisingly, hybrid particles have excellent performance at high loads and diverse velocity cases.