%0 Conference Paper %1 citeulike:8909522 %A Morris, Christopher J. %A Forster, Fred K. %B Micro-Electro-Mechanical Systems (MEMS) - 2000 %D 2000 %K 76d05-incompressible-navier-stokes-equations %P 473--479 %T The Correct Treatment of Harmonic Pressure-Flow Behavior in Microchannels %V 2 %X Advances in microfluidic technology give great potential for integrated systems with many components. Because continuum modeling is difficult even for simple systems, low-order modeling is essential to their design. Unsteady flow in microfluidic components such as channels and valves may require special treatment to achieve accurate low-order models of entire systems. One example is the fixed-valve micropump, in which the interaction between mechanical, electrical, and fluidic components produces maximum pump output at a resonant frequency near the corner frequency of the valves. In this frequency range the commonly-used value for fluid impedance was found to be in error by 30\%, causing errors in predictions of pump membrane motion by as much as 300\%. Proper treatment of the pressure-flow relations based on the exact solution of the Navier-Stokes equations for oscillatory flow corrected these deficiencies.

@inproceedings{citeulike:8909522, abstract = {{Advances in microfluidic technology give great potential for integrated systems with many components. Because continuum modeling is difficult even for simple systems, low-order modeling is essential to their design. Unsteady flow in microfluidic components such as channels and valves may require special treatment to achieve accurate low-order models of entire systems. One example is the fixed-valve micropump, in which the interaction between mechanical, electrical, and fluidic components produces maximum pump output at a resonant frequency near the corner frequency of the valves. In this frequency range the commonly-used value for fluid impedance was found to be in error by 30\%, causing errors in predictions of pump membrane motion by as much as 300\%. Proper treatment of the pressure-flow relations based on the exact solution of the Navier-Stokes equations for oscillatory flow corrected these deficiencies.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Morris, Christopher J. and Forster, Fred K.}, biburl = {https://www.bibsonomy.org/bibtex/257c0f66e41b5851dcfa3a0e0ab3cfe97/gdmcbain}, booktitle = {Micro-Electro-Mechanical Systems (MEMS) - 2000}, citeulike-article-id = {8909522}, citeulike-attachment-1 = {morris_00_correct_620065.pdf; /pdf/user/gdmcbain/article/8909522/620065/morris_00_correct_620065.pdf; d2919ce3324d831c70d10f645ad8c3bf96ba334c}, file = {morris_00_correct_620065.pdf}, interhash = {c1598c12f35ee5d76e894d847d9f3f94}, intrahash = {57c0f66e41b5851dcfa3a0e0ab3cfe97}, keywords = {76d05-incompressible-navier-stokes-equations}, organization = {ASME}, pages = {473--479}, posted-at = {2011-03-02 06:33:38}, priority = {2}, timestamp = {2017-06-29T07:13:07.000+0200}, title = {{The Correct Treatment of Harmonic Pressure-Flow Behavior in Microchannels}}, volume = 2, year = 2000 }