The thesis provides a novel way to couple vortices in the downstream of an immersed solid body holding station within a moving steady laminar flow. A two dimensional stiff body with dimensions similar to Carangiform type fishes is assumed. An array of assumed tail inclinations is utilized to model fishes flapping its tail. A stochastic multivariate framework is used to predict the lift generated on the body by coupling parameters effecting the body (shear stress, Re and tail inclination) to the circulationsin the wake and lateral regions. Shear stress is derived from the steady laminar flow simulations across the stationed body. Here the areas of the solid-bodily rotations or vortices besides the lateral and wake region of the body are quantified and measured using graphical method. The lift experienced by the body is found to be most influenced by the circulations irrespective of their tail inclinations. Thus, the lift experienced is self-propulsive. For bodies with downward tail inclinations, shear stress and inclination provide negative influence to the experienced lift. The implication is to understand the use of minimum levels of this self-propulsive lift in aquatic manoeuvrability, solid waste management in surface water and design of under-water vehicles