| Summary: | In this paper, heat transfer and entropy of steady Williamson nanofluid flow based on the fundamental symmetry is studied. The fluid is positioned over a stretched flat surface moving non-uniformly. Nanofluid is analyzed for its flow and thermal transport properties by consigning it to a convectively heated slippery surface. Thermal conductivity is assumed to be varied with temperature impacted by thermal radiation along with axisymmetric magnetohydrodynamics (MHD). Boundary layer approximations lead to partial differential equations, which are transformed into ordinary differential equations in light of a single phase model accounting for <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>-water and <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula>-water nanofluids. The resulting ODEs are solved via a finite difference based Keller box scheme. Various formidable physical parameters affecting fluid movement, difference in temperature, system entropy, skin friction and Nusselt number around the boundary are presented graphically and numerically discussed. It has also been observed that the nanofluid based on <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>-water is identified as a superior thermal conductor rather than <inline-formula><math display="inline"><semantics><mrow><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub></mrow></semantics></math></inline-formula>-water based nanofluid.
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