Rizwana Amin

Date of Award


Degree Type


Degree Name

Master of Engineering Science


Mechanical and Materials Engineering


Prof. Roger E. Khayat


The two-dimensional jet flow of a Newtonian fluid at moderate Reynolds number, emerging from a channel and flowing along one moving plate, while the other plate is stationary, is examined theoretically in this study. In this case, the equations of motion are reduced by expanding the flow field about the basic Couette flow. Inertia is assumed to be large enough, allowing asymptotic development in terms of the inverse Reynolds number. A boundary layer forms adjacent to the free surface, and a classical boundary- layer analysis is applied to find the flow at the free surface and elsewhere. The influence of this boundary layer is investigated by the aid of the method of matched asymptotic expansions. The flow velocity is obtained as composite expansion by matching the flow between the core region and the inner and outer layers. The influence of wall velocity on the shape of the free surface is emphasized. The formulation allows the determination of the steady state flow and free surface profiles analytically, which can serve as boundary condition for computational jet flow further downstream



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