Abstract

AbstractA numerical procedure for the analysis of non‐Newtonian fluid flow in a longitudinally vibrating tube is developed. The formulation of the problem is presented in differential equation form and finite element model is developed leading to the first‐order matrix differential equation. A special modification of the harmonic balance procedure is proposed for this non‐linear problem. Numerical validation of the harmonic balance procedure was performed by comparison of the average mass flow rate with the results of direct time integration. Copyright © 2005 John Wiley & Sons, Ltd.

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