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Computational Study of Fluid Flow in Wavy Channels Using Immersed Boundary Method

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Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 816))

Abstract

Accurate control and handling of fluids in microfluidic-based bio-medical devices is very important in diverse range of applications such as laboratory-on-chip (LOC), drug delivery, and bio-technology. Flow through medical devices such as kidney dialyzer and membrane oxygenator can be considered as laminar due to low Reynolds number and narrow channel geometry, thus requiring efficient utilization of passive modulation systems to improve fluid mixing in these devices. In the present work, numerical investigation of fluid flow and passive mixing effects is carried out for wavy-walled channel configurations. A two-dimensional computational model based on an immersed boundary finite volume method is developed to perform numerical simulation on a staggered Cartesian grid system. Further, pressure–velocity coupling of governing continuity and Navier–Stokes equations describing the fluid flow is done by SIMPLE algorithm. Fluid variables are described by Eulerian coordinates and solid boundary by Lagrangian coordinates. Linking of these coordinate variables is done using Dirac delta function. A momentum-forcing term is added to the Navier–Stokes equation in order to impose the no-slip boundary condition on the wavy wall. Parametric study is carried out to analyze the fluid flow characteristics by varying wave geometry factor (WG Factor) of crest–crest (CC Model) wavy wall configurations for Reynolds number ranging from 10 to 50. From this work, it is evident that incorporating wavy-walled passive modulators prove to be good and robust method for enhancing mixing in biomedical devices.

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References

  1. Sui, Y., Teo, C.J., Lee, P.S.: Direct numerical simulation of fluid flow and heat transfer in periodic wavy channels with rectangular cross-sections. Int. J. Heat Mass Transf. 55(1), 73–88 (2012)

    Article  Google Scholar 

  2. Cho, C.C.: A combined active/passive scheme for enhancing the mixing efficiency of microfluidic devices. Chem. Eng. Sci. 63(12), 3081–3087 (2008)

    Article  Google Scholar 

  3. Gong, L., Kota, K., Tao, W., Joshi, Y.: Parametric numerical study of flow and heat transfer in microchannels with wavy walls. J. Heat Transf. 133(5), 051702 (2011)

    Article  Google Scholar 

  4. Tatsuo, N., Shinichiro, M., Shingho, A., Yuji, K.: Flow observations and mass transfer characteristics in symmetrical wavy-walled channels at moderate Reynolds numbers for steady flow. Int. J. Heat Mass Transf. 33(5), 835–845 (1990)

    Article  Google Scholar 

  5. Wang, G.V., Vanka, S.P.: Convective heat transfer in periodic wavy passages. Int. J. Heat Mass Transf. 38(17), 3219–3230 (1995)

    Article  Google Scholar 

  6. Bahaidarah, H.M., Anand, N.K., Chen, H.C.: Numerical study of heat and momentum transfer in channels with wavy walls. Numer. Heat Transf. Part A 47(5), 417–439 (2005)

    Article  Google Scholar 

  7. Ahmed, M.A., Yusoff, M.Z., Ng, K.C., Shuaib, N.H.: The effects of wavy-wall phase shift on thermal-hydraulic performance of Al2O3–water nanofluid flow in sinusoidal-wavy channel. Case Stud. Therm. Eng. 4, 153–165 (2014)

    Article  Google Scholar 

  8. Aslan, E., Taymaz, I., Islamoglu, Y.: Finite volume simulation for convective heat transfer in wavy channels. Heat Mass Transf. 52(3), 483–497 (2016)

    Article  Google Scholar 

  9. Peskin, C.S.: Flow patterns around heart valves: a digital computer method for solving the equations of motion. IEEE Trans. Biomed. Eng. BME-20(4), 316–317 (1973)

    Google Scholar 

  10. Mittal, R., Iaccarino, G.: Immersed boundary methods. Annu. Rev. Fluid Mech. 37, 239–261 (2005)

    Article  MathSciNet  Google Scholar 

  11. Peskin, C.S.: The immersed boundary method. Acta numerica 11, 479–517 (2002)

    Article  MathSciNet  Google Scholar 

  12. Goldstein, D., Handler, R., Sirovich, L.: Modeling a no-slip flow boundary with an external force field. J. Comput. Phys. 105(2), 354–366 (1993)

    Article  Google Scholar 

  13. Lai, M.C., Peskin, C.S.: An immersed boundary method with formal second-order accuracy and reduced numerical viscosity. J. Comput. Phys. 160(2), 705–719 (2000)

    Article  MathSciNet  Google Scholar 

  14. Maniyeri, R., Kang, S.: Numerical study on bacterial flagellar bundling and tumbling in a viscous fluid using an immersed boundary method. Appl. Math. Model. 38(14), 3567–3590 (2014)

    Article  MathSciNet  Google Scholar 

  15. Maniyeri, R., Kang, S.: Numerical study on the rotation of an elastic rod in a viscous fluid using an immersed boundary method. J. Mech. Sci. Technol. 26(5), 1515–1522 (2012)

    Article  Google Scholar 

  16. Maniyeri, R., Suh, Y.K., Kang, S., Kim, M.J.: Numerical study on the propulsion of a bacterial flagellum in a viscous fluid using an immersed boundary method. Comput. Fluids 62, 13–24 (2012)

    Article  MathSciNet  Google Scholar 

  17. Gong, L.J., Kota, K., Tao, W., Joshi, Y.: Thermal performance of microchannels with wavy walls for electronics cooling. IEEE Trans. Compon. Packag. Manuf. Technol. 1(7), 1029–1035 (2011)

    Article  Google Scholar 

  18. Ahmed, M.A., Yusoff, M.Z., Shuaib, N.H.: Numerical investigation on the nanofluid flow and heat transfer in a wavy channel. In: Engineering Applications of Computational Fluid Dynamics. Springer International Publishing, pp. 145–167 (2015)

    Google Scholar 

  19. Zontul, H., Kurtulmuş, N., Şahin, B.: Pulsating flow and heat transfer in wavy channel with zero degree phase shift. Eur. Mech. Sci. 1(1), 31–38 (2017)

    Article  Google Scholar 

  20. Husain, A., Kim, K.Y.: Thermal transport and performance analysis of pressure-and electroosmotically-driven liquid flow microchannel heat sink with wavy wall. Heat Mass Transf. 47(1), 93–105 (2011)

    Article  Google Scholar 

  21. Grant Mills, Z., Shah, T., Warey, A., Balestrino, S., Alexeev, A.: Onset of unsteady flow in wavy walled channels at low Reynolds number. Phys. Fluids 26(8), 084104 (2014)

    Article  Google Scholar 

  22. Ramgadia, A.G., Saha, A.K.: Numerical study of fully developed flow and heat transfer in a wavy passage. Int. J. Therm. Sci. 67, 152–166 (2013)

    Article  Google Scholar 

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Acknowledgements

This research was supported by Science and Engineering Research Board, a statutory body of Department of Science and Technology (DST), Government of India through the funded project ECR/2016/001501.

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Correspondence to Mithun Kanchan .

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Kanchan, M., Maniyeri, R. (2019). Computational Study of Fluid Flow in Wavy Channels Using Immersed Boundary Method. In: Bansal, J., Das, K., Nagar, A., Deep, K., Ojha, A. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 816. Springer, Singapore. https://doi.org/10.1007/978-981-13-1592-3_22

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