Thermal transport phenomena are vital from industrial and engineering perspectives, such as thin-film technology, petroleum industries, X-ray imaging, electric cooling devices, polymer sheet extrusion, manufacturing, and biomedical applications. This article investigates the flow, thermal and mass transfer characteristics of steady Williamson fluid with a Cattaneo-Christov model over a shrinking permeable disk, considering the influences of chemical species and uniform heat generation/absorption with convective boundary conditions. The model reduced into highly non-linear ODEs with suitable approximation and numerical outcomes altered through bvp4c software built-in MATLAB. The physical restrictions that influence the flow, thermal distribution, mass curve, and friction drag are presented and arranged graphically. The present technique is 99.9% accurate compared with the existing study. The main findings reveal that friction drag at a particular value of χ c gives sensible agreement and validation about the existence of dual solutions against distinct physical constraints. Drag friction and velocity gradually shows a declined trend for stable branch solutions as the value of the Williamson parameter increases. An increment in the time and mass relaxation parameters reduces the thermal distribution and mass profiles for both solution branches. Furthermore, chemical reaction parameter contributes to a boost in the mass curve for a stable branch solution.
Qamar et al. (2026) studied this question.