An analytical model for plug flow in microcapillaries with circular cross section
Wong, Teck Neng
Date of Issue2011
School of Mechanical and Aerospace Engineering
Plug flow in microcapillaries or microchannels offers significant advantages for the development of microfluidic applications and recently triggers many interests and studies. Recirculation is formed within liquid plugs due to the presence of interfaces. This paper presents an analytical model to investigate the recirculation flow and the flow resistance in microcapillaries with circular cross section. A fourth order partial differential equation is used to model the Stokes flow within the liquid plug. The results of the flow field show that the flow pattern is affected by the plug length. The flow resistance is determined through the force balance of the liquid plug. The comparison of the flow field and the flow resistance from the analytical model and the experiments shows good agreement.
International journal of heat and fluid flow
© 2011 Elsevier Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Heat and Fluid Flow, Elsevier Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.ijheatfluidflow.2011.06.009].