Non-Newtonian fluid dynamics is one of the most popular research fields in modern fluid mechanics due to its potential applications in the food processing and chemical industries. Industry technology cannot function without efficient ultrahigh cooling systems.When we use common fluids that do not provide ultrahigh cooling, we are constrained by low thermal conductivity. Modern nanotechnology allows for the creation of nanosized metal and nonmetal particles with various thermal, electric, mechanical, magnetic, and fibre properties. Due to above physical significance in the present research study, the attention paid to investigate heat and mass transfer through Williamson nanofluid along a stretching and shrinking wedge. The influences of thermal radiation and inclined magnetic field have been accounted. The differential equations are solved using rigorous solver bvp4c. The findings are displayed in graphs and tables before being addressed with regard to physical justification. All the results are produced at inclined magnetic field angle γ = π/6. After comparison the current study with published, it is noted that there is a significant concordance between the current results and results that have already been proposed. By this agreement, the current results are validated.