Yusuf S. I., Ejeh S. & Olayiwola R.O2025-05-012022-032395-3470http://repository.futminna.edu.ng:4000/handle/123456789/1526This research work presents the transient flow analysis of viscous fluid within a pipe. The model equations evolved were considered for leak and no leak conditions. The equations were further solved analytically using eigen vector expansion method. The results obtained were presented graphically and analyzed. The analyses were undertaken using flow velocity, pressure, density, measured inlet mass flow, measured outlet mass flow, elevation, leak rate, leak velocity and Reynolds’ number. Based on the results obtained, these fundamental tools of analysis proved effective in detecting, locating and describing the type and behaviour of leakage in a pipe.enLeakageViscous FlowMass Flow Rate and Reynolds numberArticle