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Double-disk rotating viscous micro-pump with slip flow

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Abstract

In this paper numerical solution was provided for the 2D, axisymmetric Navier-Stokes equations coupled with energy equation for gaseous slip flow between two micro rotating disks pump. A first-order slip boundary condition was applied to all internal solid walls. The objective is to study the effect of Knudsen number, rotational Reynolds number and gap height on pump head, flow rate, coefficient of moments and overall micro-pump efficiency. Pump head, flow rate, coefficient of moments and pump efficiency were calculated for various pump operating conditions when the mass flow rate is applied at the pump inlet port. Detailed investigations were performed for rotational Reynolds number equals to 10. Effect of gap height between the two disks was studied. Effect of rotational Reynolds number on maximum flow rate and maximum pressure rise was simulated. The present numerical results for no-slip were compared with previously published experimental and theoretical data and found to be in a very good agreement. Knudsen number Kn values were found to be major parameters that affect the performance of pump. Pump performance decreases with increasing Kn. Optimal pump performance occurs around middle point of pump operating range. Pump operating range decreases with increasing Kn numbers. Pump performance is found to experience a steep degradation for Kn approaching 0.1. Maximum flow rate increases with rotational speed almost linearly. Maximum pressure rise also increases with rotational speed. Reducing gap height results in increasing maximum pressure rise, while increasing gap height results in larger maximum flow rate.

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Abbreviations

C M :

Moment coefficient

D :

Diameter of the disk [m]

g:

Acceleration due to gravity [m/s2]

H:

Pump discharge head [m]

NH:

Dimensionless head

NQ:

Dimensionless flow rate

P:

Pressure [Pa]

P S :

Shaft input power [N m/s]

Q :

Flow rate [m3/s]

r 1 :

Inner radius of the impeller [m]

r 2 :

Outer radius of the impeller [m]

Re :

Rotational reynolds number

Sc:

Space between the disks [m]

T :

Shaft toque on the disk [N m]

v r :

Radial velocity components [m/s]

v θ :

Swirl velocity components [m/s]

v z :

Axial velocity components [m/s]

υ :

Kinematic viscosity [m2/s]

ω :

Rotor angular velocty [rad/s]

ρ :

Density [kg/m3]

ρ r :

Density ratio

ρ o :

Density at exit [kg/m3]

τ :

Shear stress [N/m2]

σ :

Tangential-momentum accommodation coefficient

σ v :

Lennard–Jones characterstic length [m]

λ :

Mean free path [m]

η :

Overall pump efficiency

*:

Dimensionless variables

References

  • Al-Halhouli AT, Kilani MI, Al-Salaymeh A, Buttgenbach SB (2006) Influence of geometrical design parameters on the flow performance of a spiral channel viscous micro-pump. WSEAS Trans Fluid Mech 1(6):601–606

    Google Scholar 

  • Al-Halhouli AT, Kilani MI, Al-Salaymeh A, Büttgenbach S (2007) Investigation of the influence of design parameters on the flow performance of single and double disk viscous micropumps. Microsyst Technol 13(7):677–687

    Article  Google Scholar 

  • Al-Halhouli AT, Kilani MI, Al-Salaymeh A, Büttgenbach S (2008) The spiral channel viscous micropump. Dirasat 35(2):120–128

    Google Scholar 

  • Amirouche F, Zhou Y, Johnson T (2009) Current micropump technologies and their biomedical applications. Microsyst Technol 15:647. doi:10.1007/s00542-009-0804-7

    Article  Google Scholar 

  • Anderson H, Rousselet M (2006) Slip flow over a lubricated rotating disk. Int J Heat Fluid Flow 27:329–335

    Article  Google Scholar 

  • Bataineh K, Al-Nimr M (2009) 2D Navier-stokes simulations of microscale viscous pump with slip flow. ASME J Fluids Eng 131(5)

  • Blanchard D, Ligrani P, Gale B (2005) Single-disk and double-disk viscous micro-pumps. Sens Actuators A 122:149–158

    Article  Google Scholar 

  • Blanchard D, Ligrani P, Gale B (2006) Miniature single-disk viscous pump (single-dvp), performance characterization. ASME J Fluids Eng 128:602–610

    Article  Google Scholar 

  • Duncan GP, Peterson GP (1994) Review of microscale heat transfer. Appl Mech Rev 47(9):397–428

    Article  Google Scholar 

  • FLUENT 6.0 User Guide Manual (2002) Fluent, Inc., NH

  • Gad-el-Hak M (1999) The fluid mechanics of microdevices—the freeman scholar lecture. J Fluid Eng 121:5–33

    Article  Google Scholar 

  • Gad-el-Hak M (2002) Flow physics in microdevices. The handbook of MEMS. CRC Press, Boca Raton, Florida

    Google Scholar 

  • Iverson D, Garimella S (2008) Recent advances in microscale pumping technologies: a review and evaluation. University of Purdue

  • Karniadakis G, Beskok A (2002) Micro flow fundamentals and simulation. Springer, New York

    Google Scholar 

  • Kilani MI, Galambos PC, Haik YS, Chen CJ (2003) Design and analysis of a surface micro-machined spiral-channel viscous pump. ASME J Fluids Eng 125:339–344

    Article  Google Scholar 

  • Kilani MI, Al-Salaymeh A, Al-Halhouli AT (2006) Effect of channel aspect ratio on the flow pwrformance of a spiral-channel viscous micro-pump. ASME J Fluids Eng 128(3):1–10

    Article  Google Scholar 

  • Maxwell JC (1879) On stresses in rarified gases arising from inequalities of temperature. Philos Trans Roy Soc Part I 170:231–256

    Article  Google Scholar 

  • Owen JM, Rogers RH (1989) Flow and heat transfer in rotating disk systems rotor-stator systems. Research Study Press, John Wiley, Taunton, 1

  • Schaaf SA, Chambre PL (1961) Flow of rarefied gases. Princeton University Press, Princeton

    MATH  Google Scholar 

  • Sen M, Wajerski D, Gad-el-Hak M (1996) A novel pump for MEMS applications. ASME J Fluid Eng 118(3):624–627

    Article  Google Scholar 

  • Szeri AZ, Schneider SJ, Labbe F (1983) Flow between rotating disks, part I. Basic flow. J Fluid Mech 134:103–131

    Article  Google Scholar 

  • White MF (1991) Viscous fluid flow, 2nd edn. McGraw-Hill Inc., pp 167–168

Download references

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Authors and Affiliations

  1. Department of Mechanical Engineering, Jordan University of Science and Technology, Irbid, Jordan

    Khaled M. Bataineh, Moh’d A. Al-Nimr & Suhil M. Kiwan

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  1. Khaled M. Bataineh
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  2. Moh’d A. Al-Nimr
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  3. Suhil M. Kiwan
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Correspondence to Khaled M. Bataineh.

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Bataineh, K.M., Al-Nimr, M.A. & Kiwan, S.M. Double-disk rotating viscous micro-pump with slip flow. Microsyst Technol 16, 1811–1819 (2010). https://doi.org/10.1007/s00542-010-1096-7

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  • DOI: https://doi.org/10.1007/s00542-010-1096-7

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