Computational Analysis of Wall Roughness Effects for Liquid Flow in Micro-Conduits

[+] Author and Article Information
C. Kleinstreuer, J. Koo

Department of Mechanical & Aerospace Engineering, North Carolina State University, Raleigh, NC 27695-7910

J. Fluids Eng 126(1), 1-9 (Feb 19, 2004) (9 pages) doi:10.1115/1.1637633 History: Received January 27, 2003; Revised August 16, 2003; Online February 19, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.


Gad-el-Hak,  M., 1999, “The Fluid Mechanics of Microdevices-The Freeman Scholar Lecture,” ASME J. Fluids Eng., 121, pp. 5–33.
Sobhan,  C. B., and Garimella,  S. V., 2001, “A Comparative Analysis of Studies on Heat Transfer and Fluid Flow in Microchannels,” Microscale Thermophys. Eng., 5, pp. 293–311.
Koo,  J., and Kleinstreuer,  C., 2003, “Liquid Flow in Microchannels: Experimental Observations and Computational Analyses of Microfluidics Effects,” J. Micromech. Microeng., 13, 568–579.
Peng,  X. F., Peterson,  G. P., and Wang,  B. X., 1994, “Frictional Flow Characteristics of Water Flowing Through Rectangular Microchannels,” Exp. Heat Transfer, 7, pp. 249–264.
Peng,  X. F., and Peterson,  G. P., 1996, “Convective Heat Transfer and Flow Friction for Water Flow in Microchannel Structures,” Int. J. Heat Mass Transfer, 39(12), pp. 2599–2608.
Qu,  W., Mala,  G. M., and LI,  D., 2000, “Pressure-driven Water Flows in Trapezoidal Silicon Microchannels,” Int. J. Heat Mass Transfer, 43, pp. 353–364.
Guo,  Z., and Li,  Z., 2003, “Size Effect on Microscale Single-Phase Flow and Heat Transfer,” Int. J. Heat Mass Transfer, 46, pp. 149–159.
Sharp, K. V., 2001 “Experimental Investigation of Liquid and Particle Laden Flows in Microtubes,” Ph.D. thesis, University of Illinois, Urbana-Champaign, IL.
Judy,  J., Maynes,  D., and Web,  B. W., 2002, “Characterization of Frictional Pressure Drop for Liquid Flows Through Microchannels,” Int. J. Heat Mass Transfer, 45(17), pp. 3477–3489.
Wu,  H. Y., and Cheng,  P., 2003, “Friction Factors in Smooth Trapezoidal Silicon Microchannels with Different Aspect Ratios,” Int. J. Heat Mass Transfer, 46, pp. 2519–2525.
Gao,  P., Person,  S., and Favre-Marinet,  M., 2002, “Scale Effects on Hydrodynamics and Heat Transfer in Two-Dimensional Mini and Microchannels,” Int. J. Heat Mass Transfer, 41, pp. 1017–1027.
Li,  D., 2001, “Electro-Viscous Effects on Pressure-Driven Liquid Flow in Microchannels,” Colloids Surf., A, 195, pp. 35–57.
Mala,  G. M., and Li,  D., 1999, “Flow Characteristics of Water in Microtubes,” Int. J. Heat Mass Transfer, 20, pp. 142–148.
Tichy,  J. A., 1995, “A Porous Media Model for Thin Film Lubrication,” ASME J. Tribol., 117, pp. 16–21.
Li,  W., and Hwang,  C., 1999, “Derivation of the Modified Molecular Gas Lubrication-a Porous Media Model,” J. Phys. D, 32, pp. 1421–1427.
Li,  W., Lin,  J., Lee,  S., and Chen,  M., 2002, “Effects of Roughness on Rarefied Gas Flow in Long Microtubes,” J. Micromech. Microeng., 12, pp. 149–156.
Hamrock, B. J., 1994, Fundamentals of Fluid Film Lubrication, McGraw-Hill, New York.
Kleinstreuer, C., 2003, Two-Phase Flow—Theory and Applications, Taylor & Francis Publishers, Washington, DC and London, UK.
Kleinstreuer, C., 1997, Engineering Fluid Dynamics, Cambridge University Press, New York.
MathWorks, 2002, “Using MATLAB,” MathWorks Inc., Natick, MA, USA.
Nield, D. A., and Bejan, A., 1992, Convection in Porous Media, Springer-Verlag, New York, Chap. 1.
Pfhaler,  J., Harley,  J., and Bau,  H., 1990, “Liquid Transport in Micron and Submicron Channels,” Sens. Actuators, A21–A23, pp. 431–434.
Pfhaler, J., Harley, J., Bau, H., and Zemel, J. N., 1991, “Gas and Liquid Flow in Small Channels,” Micromechanical Sensors, Actuators, and Systems, ASME Winter Annual Meeting, Atlanta, GA, Dec. 1–6, 1991, DSC Series 32 , pp. 49–60.
Papautsky,  I., Brazzle,  J., Ameel,  T., and Frazier,  A. B., 1999, “Laminar Fluid Behavior in Microchannels Using Micropolar Fluid Theory,” Sens. Actuators, 73, pp. 101–108.
Xu, B., Ooi, K. T., Wong, N. T., and Choi, W. K., 1999, “Liquid Flow in Microchannels,” Proceedings of the 5th ASME/JSME Joint Thermal Engineering Conference, San Diego, California.
Xu,  B., Ooi,  K. T., Wong,  N. T., and Choi,  W. K., 2000, “Experimental Investigation of Flow Friction for Liquid Flow in Micro Channels,” Int. Commun. Heat Mass Transfer, 27(8), pp. 1165–1176.


Grahic Jump Location
Comparisons of porous medium layer (PML) model predictions with experimental data: (a) Mala and Li (1999); and (b) Guo and Li (2003) (Reprinted from Ref. 3 with written permission from IOP, Bristol, UK)
Grahic Jump Location
Effect of Darcy number on microtubular velocity profile (ReD=2000,h/Dh=0.02, the Forchheimer term is retained). (Reprinted from Ref. 3 with written permission from IOP, Bristol, UK)
Grahic Jump Location
Effects of Reynolds number, surface roughness, Darcy number, and Forchheimer drag term on the change in friction factor for microtubular flows
Grahic Jump Location
The effect of Darcy number, DaR, on the velocity profiles in the gap
Grahic Jump Location
The effect of roughness layer on the torque required to maintain flow field: (a) 10% clearance case; (b) 20% clearance case; and (c) 40% clearance case
Grahic Jump Location
The effect of clearance width on the torque: R is the nominal radius of the stator
Grahic Jump Location
The effect of the Darcy number difference on the required torque
Grahic Jump Location
Porous medium layer equivalent to surface roughness and simple microchannel geometry: (a) real surface roughness; (b) homogeneous distribution of identical roughness elements; and (c) mid-plane view of conduit with idealized roughness layer, or porous medium layer (PML).
Grahic Jump Location
Flowcharts: (a) Flow field solution in a microchannel with constant homogeneous porous wall layers; and (b) Velocity profiles in the annulus between the rotor and the stator (see Fig. 3 for the definition of symbols)
Grahic Jump Location
Schematics of the micro-journal bearing: R1 and R2 represent radii of the rotor and stator, respectively, whereas ξ1L1U2L and ξ2U are the interface coordinates of the inner and outer porous layers
Grahic Jump Location
Comparison of modeling results with Poiseuille flow for (a) PML microchannel; and (b) PML microtube



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In