A note on methods for analysis of flow through microchannels |
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| Authors: | G. Chakraborty |
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| Affiliation: | 1. Institute of Applied Mechanics, Northeastern University, Shenyang 110004, China;2. School of Resources & Civil Engineering, Northeastern University, Shenyang 110004, China;3. Department of Automotive Engineering, Jining Polytechnic, Jining 272000, China;1. Dipartimento di Ingegneria Chimica, dei Materiali e della Produzione Industriale, Universitá di Napoli Federico II, P.le Tecchio 80, 80125 Napoli, Italy;2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven 5600 MB, The Netherlands;1. Facultad de Ciencias Básicas, Ingeniería y Tecnología, Universidad Autónoma de Tlaxcala, Calzada Apizaquito S/N, Apizaco, Tlaxcala 90300, Mexico;2. Departamento de Ingeniería Química, Instituto Tecnológico de Celaya, Avenida Tecnológico y García Cubas S/N, Celaya, Guanajuato 38010, Mexico;3. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, DF 04510, Mexico |
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| Abstract: | The flow problem within a straight microchannel of arbitrary cross section is analyzed. Exact analytical solutions for flow profile of a channel flow with no-slip boundary conditions have been obtained in literature only for simple geometry of channel section. In this paper, a number of problems with more complicated geometries are solved either exactly or approximately. Three general solution methods are discussed, namely, complex function analysis, membrane vibration analogy and variational method. The usefulness of each method is justified with the help of examples. |
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