<p>An investigation of viscous dissipation influences on MHD Casson’s unsteady hybrid nanofluid flowing on a thermally radiative permeable surface was conducted. The system of dimensionless governing equivalences in partial differential equations form attained through the transformation variables was numerically cracked by the finite difference method (FDM). To comprehend the focus of this paper, the impacts of some dimensionless parameters are graphically presented and discussed. The thermophysical features of Silver and Gold nanoparticles with blood as a base fluid are considered to form a hybrid nanofluid. This paper finds that the viscous dissipation factor significantly enhances the temperature profile of the nanofluid. The temperature and volume profiles of a Casson hybrid nanofluid have been lowered with a strengthened thermal radiation parameter. The improved porosity factor has evidenced an enhancement in the hybrid nanofluid’s velocity. The findings help with managing heat and transferring heat better in real-life situations such as biomedical technologies, heat exchanges, solar thermal collectors, MHD pumps, porous media energy systems, in biological uses involving nanofluids, industrial processes and energy and heat transmission systems.</p>