title: EOF using the Ritz method: application to superelliptic microchannels.
abstract: An efficient Ritz method is developed from the variational principle to solve the Poisson-Boltzmann equation under the Debye-Hückel approximation for studying the EOF in microchannels. The method is applied to the family of superelliptic cross sections which includes the elliptic channel and the rectangular channel as limiting cases. Several accurate tables presented are useful for design of electroosmotic channels, especially rectangular channels with rounded corners. It is shown how the flow rate Q is a sophisticated consequence of the nondimensional electrokinetic width K, the aspect ratio b as well as the superelliptic exponent n.
authors: Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei, Taiwan.
authors: Chang Yi
authors: CY
authors: Wang
authors: Chien C
authors: CC
authors: Chang
mesh_terms: D004586:Electrophoresis / Q000379:methods*; D044085:Microfluidics; D016012:Poisson Distribution