Thermal study of single phase nanofluid model using radiative γAl2O3 nanomaterial under Hall current and momentum slip phenomena

The applications of nanofluids frequently occur in thermal insulation, cooling of electronic instruments, chemical engineering and to control the heat transfer during many experimental setups, interaction of nanoparticles with water for plants growth, crop improvement, crop protection, plant biology and biological sciences. Therefore, this research emphasis on the performance of radiated γAl 2 O 3 /H 2 O by adding the influential physical constraints (momentum slip and Hall current). The governing model for the flow through a disk with slippery surface is transformed into the final version via necessary mathematical operations and analyzed the problem numerically. Further, the thermal conductivity is computed using Effective Prandtl Number Model (EPNM) by taking nanoparticles amount up to 0.06%. After careful analysis of the problem, it is examined that when Al 2 O 3 nanoparticles amount added in the range of 0.01%-0.06% then EPN increased from 100.398% to 102.636%, density from 100.298% to 101.786% and dynamic viscosity from 100.742% to 104.823%, respectively. Moreover, the electrical and thermal conductivities varied from 100.3% to 101.811% to 101.65%. The moving dynamics of Al 2 O 3 /water can be increased or controlled for λ = 0.10 , 0.12 , 0.13 , 0.14 and γ = 0.1 , 0.2 , 0.3 , 0.4 , respectively. The Hall index n from 1.0, 3.0, 5.0, 7.0 strongly opposed the velocity and unsteadiness number slightly favor it. Further, the heat transport rate of Al 2 O 3 /water improved from 1.05371 to 1.41891 and the shear drag enhanced absolutely from − 0.539959 to − 0.393721 against the high nanoparticles amount.