Skip to main content
SpringerLink
Log in

A study on the plane Couette flow using micropolar fluid theory

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

An analysis of the plane Couette flow between two parallel plates of a viscous, incompressible, micropolar fluid is presented. Especially, the effects of non-zero values of the microgyration boundary condition coefficient and pressure gradient on the flow fields are studied. Numerical results show that the micropolar parameter was found to have much more of an impact on the flow behaviors. It is also observed that the micro-gyration boundary condition coefficient influenced on the coefficients of skin friction and couple stress due to its different effect on the surface stress.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Abbreviations

C f :

Skin friction coefficient

C w :

Couple stress coefficient

h :

Height of microchannel

M w :

Couple stress

m :

Model parameter

n :

Micro-gyration boundary condition coefficient (0≤n≤1)

U 0 :

Scale of the referenced velocity

u, v :

Longitudinal and transverse components of velocity vector, respectively

x, y :

Distances along and perpendicular to the plate, respectively

β:

Dimensionless viscosity ratio

γ:

Spin gradient viscosity

ρ:

Fluid density

ξ:

Mean free path

Λ:

Coefficient of gyro-viscosity

τw :

Shear stress

μ:

Fluid dynamic viscosity ω :Angular velocity vector

*:

Dimensional properties

References

  • Ahmadi, G., 1976, “Self-Similar Solution of Incompressible Micropolar Boundary Layer Flow Over a Semi-Infinite Plate,”Int. J. Engng. Sci., Vol. 14, pp. 639–646.

    Article  Google Scholar 

  • Ariman, T., Turk, M. A. and Sylvester, N. D., 1973, “Microcontinuum Fluid Mechanics-A Review,”Int. J. Engng. Sci., Vol. 11, pp. 905–930.

    Article  Google Scholar 

  • Eringen, A. C., 1964, “Simple Microfluids,”Int. J. Engng. Sci., Vol.2, pp. 205–217.

    Article  MathSciNet  Google Scholar 

  • Forcada, M. L. and Mate, C. M., 1993, “The Flow of Thin Viscous Liquid Films on Rotating Disks,”J. Colloid Interface Sci., Vol. 169, pp. 218–225.

    Article  Google Scholar 

  • Jiang, X. N., Zhou, Z. Y., Yao, J., Li, Y. and Ye, X. Y., 1995, “Micro-Fluid Flow in Micro-channel,”Proc. Transducers 95, Stockholm, Sweden, pp. 317–320.

    Article  Google Scholar 

  • Kim, Y.-J., 1999, “A Similarity Solution of the Characteristics of Micropolar Fluid Flow in the Vicinity of a Wedge,”Trans, of KSME B, Vol. 23, No. 8, pp. 969–977.

    Google Scholar 

  • Papautsky, I., Brazzle, J., Ameel, T. A. and Frazier, A. B., 1999, “Laminar Fluid Behavior in Microchannels Using Micropolar Fluid Theory,”Sensors and Actuators, Vol. 73, pp. 101–108.

    Article  Google Scholar 

  • Rees, D. A. S. and Bassom, A. P., 1996, “The Blasius Boundary-Layer Flow of a Micropolar Fluid,”Int. J. Engng. Sci., Vol. 34, pp. 113–124.

    Article  MathSciNet  Google Scholar 

  • Schlichting, H., 1979,Boundary Layer Theory, McGraw-Hill, New York.

    Google Scholar 

  • Yager, P. P. and Brody, P., 1996, “Low Reynolds Number Microfluidic Devices,”Proc. Solid-State Sensor and Actuator Workshop, Hilton-head, pp. 105–108.

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, SungKyunKwan University, 300 CheonCheon-dong, 440-746, Suwon, Korea

    Youn-Jea Kim & Tae-An Kim

Authors
  1. Youn-Jea Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tae-An Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Youn-Jea Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, YJ., Kim, TA. A study on the plane Couette flow using micropolar fluid theory. KSME International Journal 18, 491–498 (2004). https://doi.org/10.1007/BF02996114

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02996114

Key Words

Search

Navigation