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SERIES SOLUTION OF CILIA-INDUCED MHD FLOW IN A POROUS MEDIUM UNDER THE HALL CURRENT AND ION-SLIP EFFECT

Volumen 23, Edición 10, 2020, pp. 943-954
DOI: 10.1615/JPorMedia.2020025793
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SINOPSIS

In this paper, the simultaneous effect of Hall current and ion slip on an infinite-length model of ciliary propulsion of a microscopic organism through porous medium has been investigated. We have considered a symplectic metachronal wave of extensible envelope over the organism. The partial differential equations of creeping flow are transformed into an ordinary differential equation with the help of stream function. The series solution of velocity distribution and pressure distribution are obtained in the presence of a magnetic field and porous medium. Also, the trapping phenomena has been discussed with the help of stream lines. The effects of Hartmann number, ion slip, Hall current, and the porosity parameter on the velocity field and stream function are observed by graphical results.

REFERENCIAS
  1. Abdulhameed, M., Khan, I., Khan, A., and Shafie, S., Closed Form Solutions for Unsteady Magnetohydrodynamic Flow in a Porous Medium with Wall Transpiration, J. Porous Media, vol. 16, pp. 795-809, 2013. .

  2. Abo-Eldahab, E.M., Barakat, E.I., and Nowar, K.I., Hall Currents and Ion-Slip Effects on the MHD Peristaltic Transport, Int. J. Appl. Math. Phys., vol. 55, pp. 1225-1234, 2016. .

  3. Blake, J.R., A Spherical Envelope Approach to Ciliary Propulsion, J. FluidMech., vol. 5, pp. 199-208, 1971a. .

  4. Blake, J.R., Infinite Models for Ciliary Propulsion, J. Fluid Mech, vol. 49, pp. 209-222, 1971b. .

  5. Blake, J.R. and Sleigh, M.A., Mechanics of Ciliary Locomotion, Biol. Rev, vol. 9, pp. 85-125, 1974a. .

  6. Blake, J.R. and Sleigh, M.A., Hydro-Mechanical Aspects of Ciliary Propulsion, Proc. Symp. Swimming and Flying in Nature, Pasadena, California, pp. 8-12, 1974b. .

  7. Bremann, C., An Oscillating-Boundary-Layer Theory for Ciliary Propulsion, J. Fluid Mech, vol. 65, p. 799,1974. .

  8. Buehler, L. and Molokov, S., Magnetohydrodynamic Flows in Ducts with Insulating Coatings, Magnetohydrodynamics, vol. 4, pp. 528-538, 1995. .

  9. Davidson, P.A., An Introduction to Magnetohydrodynamics, Cambridge, UK: Cambridge University Press, 2001. .

  10. Ellahi, R., Bhatti, M.M., and Pop, I., Effects of Hall and Ion Slip on MHD Peristaltic Flow of Jeffrey Fluid in a Non-Uniform Rectangular Duct, Int. J. Numer. Methods Heat Fluid Flow, vol. 26, pp. 1802-1820, 2016. .

  11. Ellahi, R., Bhatti, M.M., Riaz, A., and Sheikholeslami, M., Effects of Magnetohydrodynamics on Peristaltic Flow of Jeffrey Fluid in a Rectangular Duct through a Porous Medium, J. Porous Media, vol. 17, pp. 143-157, 2014. .

  12. Ellahi, R., Raza, M., and Akber, N.S., Study of Peristaltic Flow of Nanofluid with Entropy Generation in a Porous Medium, J. Porous Media, vol. 20, pp. 461-478, 2017. .

  13. Ghara, N., Maji, S.L., Das, S., Jana, R., and Ghosh, S.K., Effects of Hall Current and Ion-Slip on Unsteady MHD Couette Flow, Open J. Fluid Dyn, vol. 2, p. 1,2012. .

  14. Haroun, M.H., A Mathematical Study of Hall Effects on Peristaltic Transport of Hydromagnetic Flow through a Porous Medium, J. Porous Media, vol. 10, 2007. .

  15. Jaber, K.K., Effect of Hall Currents and Variable Fluid Properties on MHD Flow past Stretching Vertical Plate by the Presence of Radiation, Int. J. Appl. Math. Phys, vol. 2, pp. 888-902,2014. .

  16. Javed, T., Ahmed, B., Ali, N., and Hamid, A.H., Finite Element Analysis of the Hydromagnetic Peristaltic Flow in a Porous Saturated Channel at Moderate Reynolds Number, J. Porous Media, vol. 20, pp. 841-857, 2017. .

  17. Khan, A., Zaman, G., and Jung, H., MHD Oscillating Flow of Generalized Jeffrey Fluid Passing through a Rectangular Duct Filled with Porous Medium, J. Porous Media, vol. 20, pp. 649-661, 2017. .

  18. Khidir, A.A. and Sibanda, P., On a Linearization Method for MHD Flow past a Rotating Disk in Porous Medium with Cross-Diffusion and Hall Effects, J. Porous Media, vol. 16, pp. 1011-1024,2013. .

  19. Knight-Jones, E.W., Relation between Metachronism and the Direction of Ciliary Beat in Metozia, Q. J. Microsc. Sci., vol. 95, pp. 503-521, 1954. .

  20. Krishna, M.V. and Jyothi, K., Hall Effects on MHD Rotating Flow of a Visco-Elastic Fluid through a Porous Medium over an Infinite Oscillating Porous Plate with Heat Source and Chemical Reaction, Mater. Today: Proc., vol. 5, pp. 367-380,2018. .

  21. Mishra, P.K., Biswal, S., Ray, G.S., and Dash, N., Hall Effect on Oscillatory Hydromagnetic Free Convective Flow of a Non- Newtonian Fluid past an Infinite Vertical Porous Flat Plate with Heat Sources/Sink and Constant Suction, Int. J. Appl. Math. Phys, vol. 2, pp. 103-107,2015. .

  22. Muizhnieks, A.R. and Yakovich, A.T., Numerical Study of Closed Axisymmetric MHD Rotation in an Axial Magnetic Field with Mechanical Interaction of Azimuthal and Meridional Motions, Magnetohydrodynamics, vol. 24, pp. 55-60, 1988. .

  23. Nabil, E., Ghaly, A.Y., Sallam, N., Khaled, Elagamy, K., and Younis, Y.M., Hall Effect on Peristaltic Flow of Third Order Fluid in a Porous Medium with Heat and Mass Transfer, Int. J. Appl. Math. Phys., vol. 3, pp. 1138-1150, 2015. .

  24. Naroua, H. and Ram, P.C., Finite Element Analysis of Natural Convection Flow in a Rotating Fluid with Radiative Heat Transfer, J. Magnetohydrodyn. Plasma Res., vol. 7, pp. 257-274, 1998. .

  25. Sellier, A. and Aydin, S.H., Creeping Axisymmetric MHD Flow about a Sphere Translating Parallel with a Uniform Ambient Magnetic Field, Magnetohydrodynamics, vol. 53, pp. 5-13, 2017. .

  26. Siddiqui, A.M., Farooq, A.A., andRana, M.A., Study of MHD Effects on the Cilia-Induced Flow of a Newtonian Fluid through a Cylindrical Tube, Magnetohydrodynamics, vol. 4, pp. 361-372, 2014a. .

  27. Siddiqui, A.M., Farooq, A.A., and Rana, M.A., Hydromagnetic Flow of a Newtonian Fluid due to Ciliary Motion in a Channel, Magnetohydrodynamics, vol. 50, pp. 109-122, 2014b. .

  28. Sleigh, M.A., Pattern of Ciliary Beating, Symp. Soc. Exp. Biol, vol. 22, pp. 131-150,1968. .

  29. Swarnalathamma, B.V. and Krishna, M.V., Peristaltic Hemodynamic Flow of Couple Stress Fluid through a Porous Medium under the Influence of Magnetic Field with Slip Effect, AIP Conf. Proc., vol. 1728, p. 020603, 2016. .

  30. Taylor, G.I., Analysis of the Swimming of Microscopic Organism, Proc. Royal Soc., vol. 209, pp. 447-461, 1951. .

CITADO POR
  1. Javid Khurram, Raza Mohsin, Hussain Zakir, Khan Sami Ullah, Abbas Tasawar, Hall device-controlled ciliated flow of viscoplastic material due to the non-uniform complex ciliated pump subject to inclined magnetic force, Waves in Random and Complex Media, 2022. Crossref

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