A new approach for an analytical solution of unsteady laminar flow in dispensing processes

作者：Nguyen Q H; Choi S B^*

来源：Proceedings of the Institution of Mechanical Engineers - Part C: Journal of Mechanical Engineering Science , 2010, 224(C6): 1231-1243.

DOI：10.1243/09544062JMES1790

• unsteady laminar flow
• dispensing process
• analytical solution
• finite-element model

In this study, a new method to analytically model unsteady laminar flows of both Newtonian fluid and power-laws fluid is developed. The proposed approach is based on the assumption that the pressure drop of the unsteady flow results from the pressure drop due to inertia and the pressure drop due to fluid viscosity, separately. After an overview of dispensing technology and historical modelling methods of the unsteady flows, a new modelling approach of the unsteady laminar flow is developed for the flow in a circular pipe and the axial Couette flow in an annular duct. Using the proposed model, simulation results of the unsteady flow in an arbitrary circular pipe and the annular duct are obtained and compared with other approach solutions. In addition, a comparative work between the proposed analytical dynamic model and the finite-element model is undertaken in order to demonstrate the effectiveness of the proposed modelling methodology.

• 出版日期2010