Abdo, B., El-Tamimi, A., Anwar, S., Umer, U., Alahmari, A. & Ghaleb, M.
2018
Experimental investigation and multi-objective optimization of Nd:Yag laser micro-channeling process of zirconia dental ceramic. Intl J. Adv. Manuf. Technol.
98 (5–8), 2213–2230.
Bhushan, B.
2001
Modern Tribology Handbook. vol. 1. CRC.
Bigerelle, M., Gautier, A. & Iost, A.
2007
Roughness characteristic length scales of micro-machined surfaces: a multi-scale modelling. Sensors Actuators B
126 (1), 126–137.
Chen, Y., Zhang, C., Shi, M. & Peterson, G. P.
2009
Role of surface roughness characterized by fractal geometry on laminar flow in microchannels. Phys. Rev. E
80 (2), 026301.
Darcy, H.
1857
Recherches Expérimentales Relatives au Mouvement de l’eau dans les tuyaux. Mallet-Bachelier.
Duparre, A., Ferre-Borrull, J., Gliech, S., Notni, G., Steinert, J. & Bennett, J. M.
2002
Surface characterization techniques for determining the root-mean-square roughness and power spectral densities of optical components. Appl. Opt.
41 (1), 154–171.
Gale, B., Jafek, A., Lambert, C., Goenner, B., Moghimifam, H., Nze, U. & Kamarapu, S.
2018
A review of current methods in microfluidic device fabrication and future commercialization prospects. Inventions
3 (3), 60.
Grzesik, W., Rech, J. & Żak, K.
2015
High-precision finishing hard steel surfaces using cutting, abrasive and burnishing operations. Procedia Manuf.
1, 619–627.
Hao, P.-F., Yao, Z.-H., He, F. & Zhu, K.-Q.
2006
Experimental investigation of water flow in smooth and rough silicon microchannels. J. Micromech. Microengng.
16 (7), 1397.
Jaeger, R., Ren, J., Xie, Y., Sundararajan, S., Olsen, M. G. & Ganapathysubramanian, B.
2012
Nanoscale surface roughness affects low Reynolds number flow: experiments and modeling. Appl. Phys. Lett.
101 (18), 184102.
Jansons, K. M. & Lister, J. R.
1988
The general solution of Stokes flow in a half-space as an integral of the velocity on the boundary. Phys. Fluids
31 (6), 1321–1323.
Jia, J., Song, Q., Liu, Zh. & Wang, B.
2018
Effect of wall roughness on performance of microchannel applied in microfluidic device. Microsystem Technologies. pp. 1–13. Springer.
Kandlikar, S. G., Joshi, S. & Tian, S.
2003
Effect of surface roughness on heat transfer and fluid flow characteristics at low Reynolds numbers in small diameter tubes. Heat Transfer Engng
24 (3), 4–16.
Kunert, C. & Harting, J.
2007
Roughness induced boundary slip in microchannel flows. Phys. Rev. Lett.
99 (17), 176001.
Kuo, C.-C. & Chao, C.-S.
2010
Rapid optical measurement of surface roughness of polycrystalline thin films. Opt. Lasers Engng
48 (12), 1166–1169.
Landau, L. D. & Lifshitz, E. M.
1987
Fluid Mechanics, 2nd English edn
(Course of Theoretical Physics)
, vol. 6. Pergamon Press.
Lessen, M. & Huang, P.-S.
1976
Poiseuille flow in a pipe with axially symmetric wavy walls. Phys. Fluids
19 (7), 945–950.
MacDonald, M., Chung, D., Hutchins, N., Chan, L., Ooi, A. & García-Mayoral, R.
2017
The minimal-span channel for rough-wall turbulent flows. J. Fluid Mech.
816, 5–42.
Moody, L. F.
1944
Friction factors for pipe flow. Trans. ASME
66, 671–684.
Nikuradse, J.1950 Laws of flow in rough pipes. National Advisory Committee for Aeronautics, NACA TM 1292 (translation from VDI-Forschungsheft 361, 1933).
Panzer, P., Liu, M. & Einzel, D.
1992
The effects of boundary curvature on hydrodynamic fluid flow: calculation of slip lengths. Intl J. Mod. Phys. B
6 (20), 3251–3278.
Phan-Thien, N.
1980
On Stokes flow between parallel plates with stationary random surface roughness. Z. Angew. Math. Mech.-J. Appl. Math. Mech.
60 (12), 675–679.
Phan-Thien, N.
1981a
On Stokes flow of a Newtonian fluid through a pipe with stationary random surface roughness. Phys. Fluids
24 (4), 579–582.
Phan-Thien, N.
1981b
On Stokes flows in channels and pipes with parallel stationary random surface roughness. Z. Angew. Math. Mech.-J. Appl. Maths Mech.
61 (3–5), 193–199.
Pozrikidis, C.
1987
Creeping flow in two-dimensional channels. J. Fluid Mech.
180, 495–514.
Prakash, S. & Kumar, S.
2015
Fabrication of microchannels: a review. Proc. Inst. Mech. Engrs B
229 (8), 1273–1288.
Ren, J.2013 Micro/nano scale surface roughness tailoring and its effect on microfluidic flow. PhD thesis, Iowa State University.
Ren, J., Ganapathysubramanian, B. & Sundararajan, S.
2011
Experimental analysis of the surface roughness evolution of etched glass for micro/nanofluidic devices. J. Micromech. Microengng
21 (2), 025012.
Ren, J. & Sundararajan, S.
2012
Microfluidic channel fabrication with tailored wall roughness. In ASME 2012 International Manufacturing Science and Engineering Conference Collocated with the 40th North American Manufacturing Research Conference and in Participation with the International Conference on Tribology Materials and Processing, pp. 527–532. American Society of Mechanical Engineers.
Richardson, S.
1973
On the no-slip boundary condition. J. Fluid Mech.
59 (4), 707–719.
Silva, G., Leal, N. & Semiao, V.
2008
Micro-PIV and CFD characterization of flows in a microchannel: velocity profiles, surface roughness and Poiseuille numbers. Intl J. Heat Fluid Flow
29 (4), 1211–1220.
Taylor, J. B., Carrano, A. L. & Kandlikar, S. G.
2006
Characterization of the effect of surface roughness and texture on fluid flow past, present, and future. Intl J. Thermal Sci.
45 (10), 962–968.
Van Dyke, M.
1964
Perturbation Methods in Fluid Mechanics. Academic.
Vinogradova, O. I. & Belyaev, A. V.
2011
Wetting, roughness and flow boundary conditions. J. Phys.: Condens. Matter
23 (18), 184104.
Wang, C.-Y.
1976
Parallel flow between corrugated plates. J. Engng Mech. Div.
102 (6), 1088–1090.
Wang, C.-Y.
1978
Drag due to a striated boundary in slow Couette flow. Phys. Fluids
21 (4), 697–698.
Wang, C.-Y.
1979
On Stokes flow between corrugated plates. J. Appl. Mech.
46 (2), 462–464.
Wang, C.-Y.
2006
Effect of helical corrugations on the low Reynolds number flow in a tube. AIChE J.
52 (6), 2008–2012.
Wang, H. & Wang, Y.
2007
Flow in microchannels with rough walls: flow pattern and pressure drop. J. Micromech. Microengng
17 (3), 586.
Wang, H., Wang, Y. & Zhang, J.
2005
Influence of ribbon structure rough wall on the microscale Poiseuille flow. J. Fluids Engng
127 (6), 1140–1145.
Wang, Z., Zheng, H., Lim, R., Wang, Z. & Lam, Y.
2011
Improving surface smoothness of laser-fabricated microchannels for microfluidic application. J. Micromech. Microengng
21 (9), 095008.
Yan, H., Zhang, W.-M., Peng, Z.-K. & Meng, G.
2015
Effect of random surface topography on the gaseous flow in microtubes with an extended slip model. Microfluid. Nanofluid.
18 (5–6), 897–910.
Yilbas, Z. & Hasmi, M. S. J.
1999
Surface roughness measurement using an optical system. J. Mater. Process. Technol.
88 (1), 10–22.
Young, P. L., Brackbill, T. P. & Kandlikar, S. G.
2009
Comparison of roughness parameters for various microchannel surfaces in single-phase flow applications. Heat Transfer Engng
30 (1–2), 78–90.
Yu, J., Cao, J. L., Namba, Y. & Ma, Y. Y.
1996
Surface roughness characterization of soft X-ray multilayer films on the nanometer scale. J. Vacuum Sci. Technol. B
14 (1), 42–47.
Zayernouri, M., Park, S.-W., Tartakovsky, D. M. & Karniadakis, G. E.
2013
Stochastic smoothed profile method for modeling random roughness in flow problems. Comput. Meth. Appl. Mech. Engng
263, 99–112.
Zhou, Z., Chen, D., Wang, X. & Jiang, J.
2017
Milling positive master for polydimethylsiloxane microfluidic devices: the microfabrication and roughness issues. Micromachines
8 (10), 287.
Zhu, Q. Z. & Zhang, Z. M.
2004
Anisotropic slope distribution and bidirectional reflectance of a rough silicon surface. J. Heat Transfer
126 (6), 985–993.