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Investigation of the influence of design parameters on the flow performance of single and double disk viscous micropumps

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Abstract

This paper investigates the effect of radius ratio, and channel aspect ratio on the flow performance of newly introduced single and double disk viscous micropumps. A lubrication solution for the flow field, which accounts for both radius and channel aspect ratios either in single or double disk micropumps was developed and compared with available experimental data and with an approximate solution which estimates for the flow rate only in single disk pump and neglects channel aspect ratio. Additionally, a number of 3D numerical models for single and double disk micropumps were built and analyzed using the finite volume method. Pressure and drag shape factors were introduced to describe the effects of radius and channel aspect ratios on the flow rate. The values of these factors for the whole range of studied parameters are found analytically and numerically. The error in estimating the flow rate was found to be less than 10% for r 1 /r 2 >  0.2, and less than 7% for the studied range of h/w. Also, the lubrication solution was found to be in good agreement with the numerical and experimental results.

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Abbreviations

Eu :

Euler number

F DA :

aspect ratio drag shape factor

F DR :

radius drag shape factor

F PA :

aspect ratio pressure shape factor

F PR :

radius pressure shape factor

h :

height

F :

body force vector

l :

channel length

q :

volume flow rate per unit width

Q :

volume flow rate

P :

pressure

R :

radius of curvature

r :

radius

R m :

mean channel radius

Re :

Reynolds number

\({\overline{{Re}}}\) :

reduced Reynolds number

t :

time

u :

x-velocity component

u D :

drag velocity component

u P :

pressure velocity component

U :

channel velocity

v :

velocity component

v r :

radial velocity component

v θ :

tangential velocity component

V :

velocity vector

x,y,z :

Cartesian coordinates components

r,θ, z :

polar coordinates components

w :

width

∂:

partial differential operator

ɛ:

perturbation parameter

Δ:

difference operator

∇:

gradient operator

π:

stress tensor

θ:

tangential coordinate component

ρ:

fluid density

μ:

dynamic viscosity

ω:

angular velocity

1,2:

inner and outer

s:

single disk

d:

double disk

()* :

non-dimensional variable

(−):

average

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Acknowledgments

The authors acknowledge the support received from the Technical University of Braunschweig and the Deanship for Scientific Research in the University of Jordan. The scholarship for the first author by the German Academic Exchange Service (DAAD) is gratefully appreciated.

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Authors and Affiliations

  1. Institute for Microtechnology, Alte Salzdahlumer Str. 203, 38124, Braunschweig, Germany

    A. T. Al-Halhouli & S. Büttgenbach

  2. Mechanical Engineering Department, University of Jordan, Amman, 11942, Jordan

    M. I. Kilani & A. Al-Salaymeh

Authors
  1. A. T. Al-Halhouli
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  2. M. I. Kilani
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  3. A. Al-Salaymeh
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  4. S. Büttgenbach
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Corresponding author

Correspondence to A. T. Al-Halhouli.

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Al-Halhouli, A.T., Kilani, M.I., Al-Salaymeh, A. et al. Investigation of the influence of design parameters on the flow performance of single and double disk viscous micropumps. Microsyst Technol 13, 677–687 (2007). https://doi.org/10.1007/s00542-006-0370-1

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  • DOI: https://doi.org/10.1007/s00542-006-0370-1

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