Impact of non-uniform heat sink/source and convective condition in radiative heat transfer to Oldroyd-B nanofluid: A revised proposed relation

Abstract Nanofluids are embryonic as auspicious thermo liquids for application of heat transfer which have been scrutinized precisely, in current eons. Thermo-physical properties of these liquids have noteworthy stimulus on their heat transfer features. The manifestation of dense nanoparticles in the base liquid ominously intensifies the effective liquid thermal conductivity and therefore heightens the features of heat transfer. The highest attention of this exertion is to investigate the features of nanoparticles mass flux conditions and non-uniform heat sink/source on magnetite Oldroyd-B nanofluid. Additionally, heat convective and thermal radiation mechanisms are considered. Homotopic approach has been established for the solution of non-linear structures. The upshots elucidate that the Brownian and thermophrosis nanoparticles exaggerate the temperature field, however analogous tendency is being noted for thermal radiation and non-uniform heat sink/source parameters. This exertion also investigated that the concentration of Oldroyd-B nanofluid decline for curvature parameter and augment for thermophrosis parameter. In addition, for the endorsement of up-to-date derived clarifications a comparison table of skin friction coefficient is organized in limiting circumstances.