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Roughness effects in laminar channel flow

Published online by Cambridge University Press:  15 August 2019

Yanming Liu Open the ORCID record for Yanming Liu [Opens in a new window] ,
Jiahe Li Open the ORCID record for Jiahe Li [Opens in a new window]  and
Alexander J. Smits Open the ORCID record for Alexander J. Smits [Opens in a new window]
Yanming Liu*
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Jiahe Li
Affiliation:
School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Alexander J. Smits
Affiliation:
Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

The effects of roughness on the frictional drag and pressure drop in laminar channel flow are investigated numerically. The inflow is fully developed smooth wall flow, and square rib roughness, aligned normal to the bulk flow direction, is introduced as a step change. The roughness height and spacing are systematically varied, and the flow is examined as it develops over the rough wall and becomes fully developed. The length of the development region depends primarily on the roughness height, although the effects of spacing become more important as the height decreases. In the fully developed rough wall regime, the friction coefficients always increase with roughness when compared to the smooth wall case, but the increase depends crucially on the roughness height and to a lesser extent on the spacing. Using the constricted diameter in the definition of the friction factor collapses the data on the smooth wall value to within 10 % for all roughnesses studied here, with the remaining deviation increasing linearly with roughness spacing. The friction factors scale with the inverse of the Reynolds number, as seen elsewhere. The scaling of the development length and the friction coefficient can be explained by the relative contributions made by the pressure drop on each element and the skin friction acting over the surface area. These observations are examined in terms of the flow patterns in the vicinity of the roughness elements, which leads us to propose a definition for fully rough laminar flow.

JFM classification

Low-Reynolds-number flows: Low-Reynolds-number flows Micro-/Nano-fluid dynamics: Micro-/Nano-fluid dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 876 , 10 October 2019 , pp. 1129 - 1145
Copyright
© 2019 Cambridge University Press 

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References

Brackbill, T. P. & Kandlikar, S. G. 2007 Effects of low uniform relative roughness on single-phase friction factors in microchannels and minichannels. In ASME 2007 5th International Conference on Nanochannels, Microchannels, and Minichannels, pp. 509–518. American Society of Mechanical Engineers.Google Scholar
Choi, S. B., Barron, R. E. & Warrington, R. O. 1991 Fluid flow and heat transfer in microtubes. In Proceedings of ASME WAM DSC-19, pp. 123–134. American Society of Mechanical Engineers.Google Scholar
Dharaiya, V. V. & Kandlikar, S. G. 2011 A numerical study to predict the effects of structured roughness elements on pressure drop and heat transfer enhancement in minichannels and microchannels. In ASME 2011 International Mechanical Engineering Congress and Exposition, pp. 1007–1016. American Society of Mechanical Engineers.Google Scholar
Du, D. & Li, Y. 2009 Numerical analysis of roughness effect on fluid flow in a micro tube with a three-dimensional roughness element model. In International Conference on Engineering Computation, 2009, ICEC’09, pp. 182–185. IEEE.Google Scholar
Duncan, A. B. & Peterson, G. P. 1994 Review of microscale heat transfer. Appl. Mech. Rev. 47 (9), 397–428.Google Scholar
Gamrat, G., Favre-Marinet, M., Le Person, S., Baviere, R. & Ayela, F. 2008 An experimental study and modelling of roughness effects on laminar flow in microchannels. J. Fluid Mech. 594, 399–423.Google Scholar
Gonzalez, J. G.2017 Numerical analysis of fluid motion at low Reynolds numbers. PhD thesis, The University of Manchester, Manchester, UK.Google Scholar
Hetsroni, G., Mosyak, A., Pogrebnyak, E. & Yarin, L. P. 2005 Fluid flow in micro-channels. Intl J. Heat Mass Transfer 48 (10), 1982–1998.Google Scholar
Hu, Y., Werner, C. & Li, D. 2003 Influence of three-dimensional roughness on pressure-driven flow through microchannels. Trans. ASME J. Fluids Engng 125 (5), 871–879.Google Scholar
Jiang, X. N., Zhou, Z. Y., Huang, X. Y. & Liu, C. Y. 1997 Laminar flow through microchannels used for microscale cooling systems. In Proceedings of the 1st Electronic Packaging Technology Conference, 1997, pp. 119–122. IEEE.Google Scholar
Kandlikar, S. G. 2005 Roughness effects at microscale – reassessing Nikuradse’s experiments on liquid flow in rough tubes. Bull. Polish Acad. Sci.: Tech. Sci. 53 (4), 343–349.Google Scholar
Kandlikar, S. G. 2008 Exploring roughness effect on laminar internal flow – are we ready for change? Nanoscale Microscale Thermophys. Engng 12 (1), 61–82.Google Scholar
Kandlikar, S. G., Schmitt, D., Carrano, A. L. & Taylor, J. B. 2005 Characterization of surface roughness effects on pressure drop in single-phase flow in minichannels. Phys. Fluids 17 (10), 100606.Google Scholar
Kharati-Koopaee, M. & Zare, M. 2015 Effect of aligned and offset roughness patterns on the fluid flow and heat transfer within microchannels consist of sinusoidal structured roughness. Intl J. Therm. Sci. 90, 9–23.Google Scholar
Makihara, M., Sasakura, K. & Nagayama, A. 1993 The flow of liquids in micro-capillary tubes-consideration to application of the Navier–Stokes equations. J. Japan Soc. Precision Engng 59 (3), 399–404.Google Scholar
Mala, G. M. & Li, D. Q. 1999 Flow characteristics of water in microtubes. Intl J. Heat Fluid Flow 20 (2), 142–148.Google Scholar
Mohammadi, A. & Floryan, J. M. 2013 Pressure losses in grooved channels. J. Fluid Mech. 725, 23–54.Google Scholar
Morini, G. L. 2004 Single-phase convective heat transfer in microchannels: a review of experimental results. Intl J. Therm. Sci. 43 (7), 631–651.Google Scholar
Nikuradse, J.1933 Stromungsgesetze in rauhen rohren. Translated as ‘Laws of flow in rough pipes’. VDI Forschungsheft Arb. Ing.-Wes. 361, also NACA TM 1292, 1950.Google Scholar
Papautsky, I., Ameel, T. & Bruno Frazier, A. 2001 A review of laminar single-phase flow in microchannels. In ASME, Proc. Intl Mech. Engng Congress Expos. (IMECE), vol. 2, pp. 3067–3075. Elsevier.Google Scholar
Papautsky, I., Brazzle, J., Ameel, T. & Bruno Frazier, A. 1999 Laminar fluid behavior in microchannels using micropolar fluid theory. Sensors Actuators A 73 (1–2), 101–108.Google Scholar
Perry, A. E., Schofield, W. H. & Joubert, P. N. 1969 Rough wall turbulent boundary layers. J. Fluid Mech. 37 (2), 383–413.Google Scholar
Pfahler, J., Harley, J., Bau, H. & Zemel, J. 1990 Liquid transport in micron and submicron channels. Sensors Actuators A 22 (1–3), 431–434.Google Scholar
Rawool, A. S., Mitra, S. K. & Kandlikar, S. G. 2006 Numerical simulation of flow through microchannels with designed roughness. Microfluid. Nanofluid. 2 (3), 215–221.Google Scholar
Sentürk, U. & Smits, A. J.2019 Roughness effects in laminar pipe flow. Preprint, arXiv:1905.12479.Google Scholar
Sobhan, C. B. & Garimella, S. V. 2001 A comparative analysis of studies on heat transfer and fluid flow in microchannels. Microscale Therm. Engng 5 (4), 293–311.Google Scholar
Wagner, R. N. & Kandlikar, S. G. 2012 Effects of structured roughness on fluid flow at the microscale level. Heat Transfer Engng 33 (6), 483–493.Google Scholar
Wang, X.-Q., Yap, C. & Mujumdar, A. S. 2005 Effects of two-dimensional roughness in flow in microchannels. J. Electron. Packaging 127 (3), 357–361.Google Scholar
Weilin, Q., Mala, G. M. & Li, D. Q. 2000 Pressure-driven water flows in trapezoidal silicon microchannels. Intl J. Heat Mass Transfer 43 (3), 353–364.Google Scholar
Wu, H. Y. & Cheng, P. 2003 Friction factors in smooth trapezoidal silicon microchannels with different aspect ratios. Intl J. Heat Mass Transfer 46 (14), 2519–2525.Google Scholar
Wu, P. & Little, W. A. 1984 Measurement of the heat transfer characteristics of gas flow in fine channel heat exchangers used for microminiature refrigerators. Cryogenics 24 (8), 415–420.Google Scholar
Yu, D., Warrington, R. O., Barron, R. E. & Ameel, T. 1995 An experimental and theoretical investigation of fluid flow and heat transfer in microtubes. In ASME/JSME Thermal Engineering Conference, pp. 523–530. American Society of Mechanical Engineers.Google Scholar
Zhang, C., Chen, Y. & Shi, M. 2010 Effects of roughness elements on laminar flow and heat transfer in microchannels. Chem. Engng Process. 49 (11), 1188–1192.Google Scholar