0
Research Papers: Flows in Complex Systems

2D Navier–Stokes Simulations of Microscale Viscous Pump With Slip Flow

[+] Author and Article Information
Khaled M. Bataineh1

Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid 22110, Jordank.bataineh@just.edu.jo

Moh’d A. Al-Nimr

Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid 22110, Jordan

1

Corresponding author.

J. Fluids Eng 131(5), 051105 (Apr 14, 2009) (7 pages) doi:10.1115/1.3112390 History: Received June 10, 2008; Revised February 02, 2009; Published April 14, 2009

In this paper we provide numerical solution of the Navier–Stokes equations coupled with energy equation for gaseous slip flow in two-dimensional microscale viscous pumps. A first-order slip boundary condition was applied to all internal solid walls. The objectives are to study the performance of the pumps and to study the effect of velocity slip on its performance. Mass flow rate and pump efficiency were calculated for various pump operation conditions when an external pressure load is applied at the pump exit plane. Geometric parameters were held fixed in this work. Microviscous pump performance was studied in detail for several values of the Reynolds number, pressure load, eccentricity, and slip factors. Our numerical results for no-slip were compared with previously published experimental and numerical data and were found to be in very good agreement. Slip values and eccentricity were found to be major parameters that affect the performance of pump. Pump head decreases with increasing slip factors. Maximum pump efficiency increases with increasing slip factor up to Kn approaching 0.1. However, the maximum value of pump efficiency is found to experience a steep degradation for Kn approaching 0.1. The values of moment coefficient always decrease as both slip factor and distance of the rotor from the lower wall increase. Also, as slip factors and distance of the rotor from the lower wall increase, less net flow rate is predicted. For a given fixed driving force at the rotor surface, there is an optimum value for the behavior of pump efficiency with distance of the rotor from the lower wall. Future research should be conducted to modify the current design to make this concept work for higher Knudsen numbers.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

2D model of viscous micropump

Grahic Jump Location
Figure 2

Part of numerical domain mesh density

Grahic Jump Location
Figure 3

Effect of slip factor on flow rate versus pump load at Re=1 and ε=0.025, H∗=1.5

Grahic Jump Location
Figure 4

Total drag coefficient (viscous and pressure) as a function of pump load for different slip factors ε=0.025, H∗=1.5, and Re=1

Grahic Jump Location
Figure 5

Moment coefficient as a function of pump load for different slip factors ε=0.025, H∗=1.5, and Re=1

Grahic Jump Location
Figure 6

Efficiency as a function of pressure for different slip factors ε=0.025, H∗=1.5. and Re=1

Grahic Jump Location
Figure 7

Flow rate as a function of Reynolds number for different slip factors ε=0.025, H∗=1.5, and ΔP∗=1

Grahic Jump Location
Figure 8

Efficiency as function of Reynolds number for different slip factors ε=0.025, H∗=1.5, and ΔP∗=1

Grahic Jump Location
Figure 9

Moment coefficient as a function of pump load for different slip factors ε=.025, H∗=1.5, and Re=1

Grahic Jump Location
Figure 10

Flow rate as a function of rotor eccentricity for different slip factors Re=1, H∗=1.5, and ΔP∗=1

Grahic Jump Location
Figure 11

Moment coefficient as a function of rotor eccentricity for different slip factors Re=1, H∗=1.5, and ΔP∗=1

Grahic Jump Location
Figure 12

Efficiency as a function of rotor eccentricity for different slip factors Re=1, H∗=1.5, and ΔP∗=1

Grahic Jump Location
Figure 13

The effect of S on the optimized eccentricity

Tables

Errata

Discussions

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.

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