Browse > Article
http://dx.doi.org/10.6112/kscfe.2015.20.4.109

STOKES FLOW THROUGH A MICROCHANNEL WITH PROTUBERANCES OF STAGGERED ARRANGEMENT  

Son, Jeong Su (School of Mechanical Engineering, Chonnam National Univ.)
Jeong, Jae-Tack (School of Mechanical Engineering, Chonnam National Univ.)
Publication Information
Journal of computational fluids engineering / v.20, no.4, 2015 , pp. 109-115 More about this Journal
Abstract
In this study, the Stokes flow in the microchannel is analysed where the semicircular protuberances with constant spacing are attached on the upper and lower walls with staggered arrangement. For the low Reynolds number flow in microchannel, Stokes approximation is used and the periodicity and symmetry of the flow are considered to determine the stream function and pressure distribution in the flow field by using the method of least squared error. As results, the streamline patterns and pressure distributions in the flow field are shown for some specific values of the size and spacing of the protuberances, and shear stress distributions on the surface of semicircular protuberances are plotted. Especially, for an important physical property, the average pressure gradient along the microchannel is obtained and compared with that for the case of in-phase arrangement of the upper and lower protuberances. And, for the small clearance between the protuberances of upper and lower walls or between the protuberances and the opposite wall, the average pressure gradient is derived from the lubrication theory and compared with that of the present study.
Keywords
microchannel; protuberance; periodic flow; Stokes flow; lubrication theory; two-dimensional flow;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 2012, Nguyen, N.-T., Micromixers Fundamentals Design and Fabrication, Second Ed., Elsevier, Waltham, pp.321-342.
2 2010, Berthier, J. and Silberzan, P., Microfluidics for Biotechnology, Second Ed., Artech House, Norwood, pp.17-72.
3 2009, Sun, Z.-X., Li, Z.-Y., He, Y.-L. and Tao. W.-Q., "Coupled solid (FVM) - fluid (DSMC) simulation of micro-nozzle with unstructured-grid," Micro-Nano fluids, Vol.7, pp.621-631.   DOI
4 2001, Wang, C.Y., "Flow in a Channel With Longitudinal Tubes," J. Fluids Eng.-Trans. ASME, Vol.123, pp.157-160.   DOI
5 1997, Wang, C.Y., "Stokes Flow Through a Transversely Finned Channel," J. Fluids Eng.-Trans. ASME, Vol.119, pp.110-114.   DOI
6 2014, Inasawa, A., Floryan, J.M. and Asai, M., "Flow Recovery Downstream from a Surface Protuberance," Theor. Comput. Fluid Dyn., Vol.28, pp.427-447.   DOI
7 2010, Pozrikidis, C., "Stokes Flow through a Permeable Tube," Arch.. Appl. Mech., Vol.80, pp.323-333.   DOI
8 1993, Davis, A.M.J., "Periodic blocking in parallel shear or channel flow at low Reynolds number," Phys. Fluids, Vol.5, pp.800-809.   DOI
9 2013, Meftah, M. B. and Mossa, M., "Prediction of Channel Flow Characteristics through Square Arrays of Emergent Cylinders," Phys. Fluids, Vol.25, 045102.   DOI
10 2006, Kirsh, V.A., "Stokes flow in periodic systems of parallel cylinders with porous permeable shells," Colloid. J., Vol.68, pp.173-181.   DOI
11 2006, Jeong, J.-T., "Two dimensional Stokes flow through a slit in a microchannel with slip," J. Phys. Soc. Jpn., Vol.75, No.9, 094401.   DOI
12 2013, Jeong, J.-T. and Yoon, S.-H., "Two-Dimensional Stokes Flow around a Circular Cylinder in a Microchannel," J. Mech. Sci. Technol., Vol.28, pp.573-579.
13 2014, Jeong, J.-T. and Jang, C.-S., "Slow motion of a circular cylinder in a plane Poiseuille flow in a microchannel," Phys. Fluids, Vol.26, No.12, 123104.   DOI
14 2015, Son, J.S. and Jeong, J.-T., "Stokes flow through a microchannel with protuberances of constant spacing," Trans. Korean Soc. Mech. Eng. B, Vol.39, pp.335-341.   DOI
15 2010, Cengel, Y.A. and Cimbala, J.M., Fluid Mechanics Fundamentals and Applications, McGraw-Hill, New York, pp.419-475.
16 2011, Kreyszig, E., Advanced Engineering Mathematics, Wiley, Hoboken, pp.473-539.
17 2012, Chapra, S.C., Numerical Methods for Engineers, McGraw-Hill, New York, pp.336-344.
18 1964, Moffatt, H.K., "Viscous and Resistive Eddies near a Sharp Corner," J. Fluid Mech., Vol.18, pp.1-18.   DOI
19 2000, Day, R.F. and Stone, H.A., "Lubrication Analysis and Boundary Integral Simulations of a Viscous Micropump," J. Fluid Mech., Vol.416, pp.197-216.   DOI