Abstract

A finite-element marching procedure is presented for the calculation of transport processes in three-dimensional parabolic flows As in corresponding finite-difference procedures, equations are solved one after the other. Similarly, longitudinal and cross-stream pressure gradients are uncoupled. Velocity fields are determined by first calculating intermediate velocity values based on estimated pressure gradient distributions and then obtaining appropriate corrections so as to satisfy the continuity equation Illustrative examples concerning flow in the entrance region of straight ducts demonstrate the accuracy and reliability of the proposed technique.

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