The basic idea of turbulent flows in fluid dynamics has wide implications for environmental studies, engineering, physics, and other fields. The Burgers equation, a mathematical model for turbulent flow, has been extended to include time-fractional derivatives to explain anomalous diffusion behavior observed in many real-world systems. This chapter studies and simulates turbulent flow in a two-dimensional time-fractional system of Burgers equations, to vary the Reynolds number, which determines the parameter determining flow behavior. We solve the two-dimensional Burgers equations with a computational technique and analyze its performance for a range of Reynolds values. By adding fractional derivatives to the temporal component, we can capture the memory and non-local effects typical of complex systems with long-range correlations. The results shed light on the role of the Reynolds number in shaping the system’s dynamics and provide valuable information for predicting and controlling turbulent processes in practical applications. The findings from this chapter contribute to a deeper understanding of turbulence in time-fractional systems and offer insights into the interplay between Reynolds number and flow behavior and significant implications for the design and optimization of various engineering and environmental systems, ultimately leading to more efficient and sustainable solutions in fluid dynamics.