There has been growing need to characterize the fluid flow (soil erosion) through a simplified model such as random walk dynamics. The research work covered three distinct regions of fluid flow namely the laminar region, the transition region and the turbulent region. Appropriate flowcharts and FORTRAN-90 Source codes were developed to solve relevant fluid flow governing equations. Reynolds number was used as the control parameter to tune from laminar to turbulent flow while relevant solution was graphed using Microsoft Excel 2000. The graphs show the distinct regions.The first region characterizes laminar region with regularity, stability, high momentum diffusion and low momentum convection. The second region is the transition region, which shows the onset of irregularity and instability. After several stages of transition process due to Helmholtz instability, the turbulent region is reached which is characterized by irregularity, instability, low momentum diffusion, high momentum convection and rapid variation of velocity. The result shows that fluid flow can be characterized through the use of random walk dynamics.