TY - JOUR TI - Modeling and simulation of time-dependent Williamson nanofluid flow with thermal radiation and bioconvection AU - Mahariq Ibrahim AU - Shaheen Muhammad AU - Fiza Mehreen AU - Ullah Hakeem AU - Akgul Ali AU - Elnaggar G.r. AU - Khan Ilyas AU - Koh Wei Sin JN - Thermal Science PY - 2025 VL - 29 IS - 4 SP - 3087 EP - 3095 PT - Article AB - Williamson squeezed nanofluid with mass transfer characteristics are assumed. Significance of microorganism and nanofluid are evaluated. From energy equation, thermal radiation, Joule heating, and Brownian motion gets assist. For alleviate affiliated expressions into ordinary differential system are used proper similarity transformations. Convergent series solutions are obtained, non-linear ODE are resolved numerically by using homotopy analysis method. The effect of bio convection Lewis, Prandtl, and Peclet numbers, magnetic parameters radiation, Brownian motion, and radiation are discussed. Main outcomes of current examination are prescribed in conclusion part.