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Studies on Fluid Flow Through an Elliptical Microchannel of Different Aspect Ratios
Abstract The present work considers fluid flow analysis within a straight microchannel of elliptical cross section. Variational method with slip boundary conditions is adopted to determine velocity distribution. One can use no-slip boundary conditions with incorporating an average slip velocity with little modifications. The proposed result is validated with existing literature and agrees well. The velocity distribution thus obtained is also used to determine Poiseuille number and slip coefficient. Finally, the velocity profile, Poiseuille number, and slip coefficient are presented graphically as the function of aspect ratio and Knudsen number. It is predicted that the velocity profile and Poiseuille number greatly depend on the Knudsen number and aspect ratio, whereas slip coefficient has negligible dependency on the Knudsen number. The present work is further extended to determine velocity profile, Poiseuille number, and slip coefficient for a rectangular microchannel and thus the results obtained have been compared with the elliptical microchannel. The present analytical solutions offer a suitable and power technique for studying fluid flow analysis in a variety of fundamental and engineering applications such as in microfluidics.
Studies on Fluid Flow Through an Elliptical Microchannel of Different Aspect Ratios
Abstract The present work considers fluid flow analysis within a straight microchannel of elliptical cross section. Variational method with slip boundary conditions is adopted to determine velocity distribution. One can use no-slip boundary conditions with incorporating an average slip velocity with little modifications. The proposed result is validated with existing literature and agrees well. The velocity distribution thus obtained is also used to determine Poiseuille number and slip coefficient. Finally, the velocity profile, Poiseuille number, and slip coefficient are presented graphically as the function of aspect ratio and Knudsen number. It is predicted that the velocity profile and Poiseuille number greatly depend on the Knudsen number and aspect ratio, whereas slip coefficient has negligible dependency on the Knudsen number. The present work is further extended to determine velocity profile, Poiseuille number, and slip coefficient for a rectangular microchannel and thus the results obtained have been compared with the elliptical microchannel. The present analytical solutions offer a suitable and power technique for studying fluid flow analysis in a variety of fundamental and engineering applications such as in microfluidics.
Studies on Fluid Flow Through an Elliptical Microchannel of Different Aspect Ratios
Simlandi, Sudip (author) / Nayek, Soumyanil (author) / Joshi, Raunak (author)
2019-01-01
18 pages
Article/Chapter (Book)
Electronic Resource
English
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