Research ArticlesNo Access

Incompressible SPH Modeling of Rotary Micropump Mixers

Rahim Shamsoddini

Department of Mechanical Engineering, Sirjan University of Technology, Sirjan Kerman, Iran

E-mail Address: shamsoddini@sirjantech.ac.ir

https://doi.org/10.1142/S0219876218500196Cited by:1 (Source: Crossref)

Abstract

In the present study, for the first time, the flow and mass transfer in the rotary micropump-micromixers were investigated by the SPH method. In fact, the present work shows the ability of the SPH method to model the mixing process due to pumping action. The incompressible SPH method applied for modeling is improved by the kernel gradient corrective tensor, a particle shifting algorithm, and an improved periodic boundary condition. SPH is a proper method for modeling the mixing process because there is no modeling for the convective terms and so, the false diffusion is not observed in the SPH modeling. In the present study, first, a viscous micropump comprising a microchannel in which a circular cylinder rotates with special eccentricity is modeled and validated. Then, the geometry is manipulated in order to achieve a desirable micromixer.

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References

Abdelgawad, M., Hassan, I., Esmail, N. and Phutthavong, P. [2005] “ Numerical Investigation of Multistage Viscous Micropump Configurations.” J. Fluids Eng. 127, 734–742. Web of Science, Google Scholar
Blanchard, D., Ligrani, P., Gale, B. [2005] “ Single-disk and double-disk viscous micropumps.” Sens. Actuators, A 122, 149–158. Web of Science, Google Scholar
Bonet, J. and Lok, T. S. [1999] “ Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulation.” Comput. Meth. Appl. Mech. Eng. 180, 97–115. Web of Science, Google Scholar
Dehnen, W. and Aly, H. [2012] “ Improving convergence in smoothed particle hydrodynamics simulations without pairing instability.” Mon. Not. Roy. Astron. Soc. 425, 1068–1082. Web of Science, Google Scholar
Farrokhpanah, A., Samareh, B. and Mostaghimi, J. [2015] “ Applying contact angle to a two-dimensional multiphase Smoothed Particle Hydrodynamics model.” ASME J. Fluids Eng. 137, 041303–12. Web of Science, Google Scholar
Gingold, R. A. and Monaghan, J. J. [1977] “ Smoothed Particle Hydrodynamics: Theory and Application to Non-spherical Stars.” Mon. Not. R. Astron. Soc. 181, 375–389. Web of Science, Google Scholar
Ghia, U., Ghia, K. N. and Shin, C. T. [1982] “ High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method.” J. Comp. Physics 48, 387–411. Web of Science, Google Scholar
Hessel, V., Löwe H. and Schönfeld, F. [2005] “ Micromixers—a review on passive and active mixing principles.” Chem. Eng. Sci. 60, 2479–2501. Web of Science, Google Scholar
Lam, R. H. W., Lei, K. F., Lam, J. H. M. and Li, W. J. [2004] “ Digitally Controllable Large-Scale Integrated Microfluidic Systems.” Proc. 2004 IEEE, Int. Conf. Robotics and Biomimetics, 22–26 August 2004, Shenyang, China. Google Scholar
Lee, E. S., Moulinec, C., Xu, R., Laurence, D. and Stansby, P. [2008] “ Comparisons of weakly compressible and truly incompressible algorithms for the SPH mesh free particle method.” J. comput. Phys. 227, 8417–8436. Web of Science, Google Scholar
Liu, M. B., Liu, G. R. and Zong, Z. [2008] “ An Overview on Smoothed Particle Hydrodynamics.” Int. J. Comput. Methods 5, 135–188. Link, Web of Science, Google Scholar
Lu, L., Ryu, K. S. and Liu, C. [2002] “ A magnetic microstirrer and array for microfluidic mixing.” J. Microelectromech, 11, 462–469. Web of Science, Google Scholar
Lucy, L. B. [1977] “ A numerical approach to the testing of the fission hypothesis.” Astron. J. 82, 1013–1024. Web of Science, Google Scholar
Ng, K. C. and Ng, E. Y. K. [2013] “ Laminar Mixing Performances of Baffling, Shaft Eccentricity and Unsteady Mixing in a Cylindrical Vessel.” Chem. Eng. Sci. 104, 960–974. Web of Science, Google Scholar
Ng, K. C., Ng, E. Y. K. and Lam, W. H. [2013] “ Lagrangian Simu-lation of Steady and Unsteady Laminar Mixing by Plate Im-peller in a Cylindrical Vessel.” Ind. Eng Chem. Res. 52, 10004–10014. Web of Science, Google Scholar
Razavitoosi, S. L., Ayyoubzadeh, S. A. and Valizadeh, A. [2014] “ Two-phase SPH modelling of waves caused by dam break over a movable bed.” Int. J. Sediment Res. 29, 344–356. Web of Science, Google Scholar
Robinson, M., Cleary, P. and Monaghan, J. [2008] “ Analysis of Mixing in a Twin Cam Mixer using Smoothed Particle Hy-drodynamics.” AIChE 54, 1987–1998. Web of Science, Google Scholar
Ryu, K. S., Shaikh, K., Goluch, E., Fan, Z. and Liu, C. [2004] “ Micro magnetic stir-bar mixer integrated with parylene microfluidic channels.” Lab on a chip 4, 608–613. Web of Science, Google Scholar
Shadloo, M. S., Zainali, A. and Yildiz, M. [2013] “ Simulation of single mode Rayleigh–Taylor instability by SPH method.” Comput. Mech. 51, 699–715. Web of Science, Google Scholar
Sefid, M., Fatehi, R. and Shamsoddini, R. [2015] “ A modified smoothed particle hydrodynamics scheme to model the stationary and moving boundary problems for Newtonian fluid flows.” ASME J. Fluids Eng. 137, 031201–9. Web of Science, Google Scholar
Shadloo, M. S., Oger, G. and Le Touzé, D. [2016] “ Smoothed particle hydrodynamics method for fluid flows, towards industrial applications: Motivations, current state, and challenges.” Comput. Fluid 136, 11–34. Web of Science, Google Scholar
Shamsoddini, R., Aminizadeh, N. and Sefid, M. [2015a] “ An improved WCSPH method to simulate the non-Newtonian Power-Law Fluid Flow Induced by motion of a Square Cylinder.” Comp. Model. Eng. Sci. 105, 209–230. Web of Science, Google Scholar
Shamsoddini, R., Sefid, M. and Fatehi, R. [2014] “ ISPH modelling and analysis of fluid mixing in a microchannel with an oscillating or a rotating stirrer.” Eng. Appl. Comp. Fluid 8, 289–298. Google Scholar
Shamsoddini, R., Sefid, M. and Fatehi, R. [2015b] “ Lagrangian simulation and analysis of the micromixing phenomena in a cylindrical paddle mixer using a modified Weakly Compressible Smoothed Particle Hydrodynamics Method.” Asia-Pac. J. Chem. Eng. 10, 112–122. Web of Science, Google Scholar
Shamsoddini, R. and Sefid, M. [2015] “ Lagrangian simulation and analysis of the power-law fluid mixing in the two-blade circular mixers using a modified WCSPH method. Pol. J. Chem. Tech. 17, 1–10. Web of Science, Google Scholar
Shamsoddini, R., Sefid, M. and Fatehi, R. [2016] “ Incompressible SPH modeling and analysis of non-Newtonian power-law fluids mixing in a microchannel with an oscillating stirrer.” J. Mech. Sci. Tech. 30, 307–316. Web of Science, Google Scholar
Shao, J. R., Li, S. M. and Liu, M. B. [2016] “ Numerical Simulation of Violent Impinging Jet Flows with Improved SPH Method.” Int. J. Comput. Methods 13, 1641001–18. Link, Web of Science, Google Scholar
Shao, J. R., Liu, M. B., Yang, X. F. and Cheng, L. [2012] “ Improved smoothed particle hydrodynamics with rans for free-surface flow problems.” Int. J. Comput. Methods 9, 16410001–14. Link, Web of Science, Google Scholar
Xu, R., Stansby, P. and Laurence, D. [2009] “ Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach.” J. Comput. Phys. 228, 6703–6725. Web of Science, Google Scholar