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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
Cho, C.C.: A combined active/passive scheme for enhancing the mixing efficiency of microfluidic devices. Chem. Eng. Sci. 63(12), 3081–3087 (2008)
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)
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)
Wang, G.V., Vanka, S.P.: Convective heat transfer in periodic wavy passages. Int. J. Heat Mass Transf. 38(17), 3219–3230 (1995)
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)
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)
Aslan, E., Taymaz, I., Islamoglu, Y.: Finite volume simulation for convective heat transfer in wavy channels. Heat Mass Transf. 52(3), 483–497 (2016)
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)
Mittal, R., Iaccarino, G.: Immersed boundary methods. Annu. Rev. Fluid Mech. 37, 239–261 (2005)
Peskin, C.S.: The immersed boundary method. Acta numerica 11, 479–517 (2002)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-981-13-1592-3_22
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1591-6
Online ISBN: 978-981-13-1592-3
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)