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A simple case of the flow between deformable rolls is formulated as a multi-point boundary non-linear ode's system. It is quite difficult to calculate solutions for this problem. Thus, the aim of this analysis is to find simple and effective solutions to this problem which are important for the understanding of the process. In this paper, asymptotic methods have been applied at the flow inlet where the flux through the gap is determined.doi:10.21914/anziamj.v42i0.622 fatcat:4sxgbdn5bjbkfa3ea6h2wr4ffe