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BioNanoScience

, Volume 9, Issue 1, pp 13–20 | Cite as

Impact of Dual Solutions on Nanofluid Containing Motile Gyrotactic Micro-organisms with Thermal Radiation

  • Poulomi DeEmail author
Article
  • 19 Downloads

Abstract

In the present model, the author offered a numerical treatment on dual solution of water-based nanofluid together with motile gyrotactic micro-organisms accompanied by tiny nanoparticles with radiation effects flowing on non-linearly shrinking/stretching sheet. Set of governing equations converted to non-linear coupled ordinary differential equations by similarity transformations and solved numerically using fifth-order Runge-Kutta-Fehlberg method by shooting algorithm. Impact of physical parameters on velocity, temperature, concentration, and density of motile micro-organisms distribution was reported graphically and explained in details. The present results explore the enhancing effect of bioconvection Lewis number, bioconvection Peclet number, and micro-organisms concentration difference parameter resulting in a decline of dual density of motile micro-organisms profile, whereas temperature profile enhanced with a boost in thermal radiation parameter. Finally, the present investigation was compared among offered consequences in literature.

Keywords

Shrinking/stretching sheet Water-based nanofluid Motile gyrotactic micro-organisms Shooting technique Runge-Kutta-Fehlberg scheme 

References

  1. 1.
    Pedley, T. J., Hill, N. A., & Kessler, J. O. (1988). The growth of bioconvection patterns in a uniform suspension of gyrotactic microorganism. Journal of Fluid Mechanics, 195, 223–237.MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Kuznetsov, A. V., & Avramenko, A. A. (2004). Effects of small particles on the stability of bioconvection in a suspension of gyrotactic microorganisms in a layer of finite depth. International Communications in Heat and Mass Transfer, 31, 1–10.CrossRefGoogle Scholar
  3. 3.
    Kuznetsov, A. V., & Geng, P. (2005). The interaction of bioconvection caused by gyrotactic micro-organisms and settling of small solid particles. International Journal of Numerical Methods for Heat and Fluid Flow, 15, 328–547.CrossRefGoogle Scholar
  4. 4.
    Kuznetsov, A. V. (2006). The onset of thermo-bioconvection in a shallow fluid saturated porous layer heated from below in a suspension of oxytactic microorganisms. European Journal of Mechanics - B/Fluids, 25, 223–233.MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Kuznetsov, A. V. (2010). The onset of nanofluid bioconvection in a suspension containing both nanoparticles and gyrotactic microorganisms. International Communications in Heat and Mass Transfer, 37, 1421–1425.CrossRefGoogle Scholar
  6. 6.
    Kuznetsov, A. V., & Bubnovich, V. (2012). Investigation of simultaneous effects of gyrotactic and oxytactic micro-organisms on nanofluid bio-thermal convection in porous medium. Journal of Porous Media, 15, 617–631.CrossRefGoogle Scholar
  7. 7.
    Saleh T. A. (2017) Advanced nanomaterials for water engineering, treatment and hydraulics. IGI Global, United States of America.Google Scholar
  8. 8.
    Saleh T.A. & Gupta V.K. (2016) Nanomaterials and polymer membranes synthesis, characterization and applications. Elsevier,  https://doi.org/10.1016/C2013-0-19381-6.
  9. 9.
    Xu, H., & Pop, I. (2014). Mixed convection flow of a nanofluid over a stretching surface with uniform free stream in the presence of both nanoparticles and gyrotactic micro-organisms. International Journal of Heat and Mass Transfer, 75, 610–623.CrossRefGoogle Scholar
  10. 10.
    Shaw, S., Sibanda, P., Sutradhar, A., & Murthy, P. V. S. N. (2014). Magnetohydrodynamics and soret effects on bioconvection in a porous medium saturated with a nanofluid containing gyrotactic microorganisms. Journal of Heat Transfer, 136, 052601.CrossRefGoogle Scholar
  11. 11.
    Ahmed, N., Shah, N. A., Ahmed, B., Shah, S. I. A., Ulhaq, S., & Gorji, M. R. (2018). Transient MHD convective flow of fractional nanofluid between vertical plates. Journal of Applied and Computational Mechanics.  https://doi.org/10.22055/JACM.2018.26947.1364 Article in Press.
  12. 12.
    Pourmehran, O., Sarafraz, M. M., Gorji, M. R., & Ganji, D. D. (2018). Rheological behavior of various metal-based nano-fluids between rotating discs: a new insight. Journal of the Taiwan Institute of Chemical Engineers, 88, 37–48.CrossRefGoogle Scholar
  13. 13.
    Pourmehran, O., Gorji, M. R., Bandpy, M. G., & Baou, M. (2015). Comparison between the volumetric flow rate and pressure distribution for different kinds of sliding thrust bearing. Propulsion and Power Research, 4(2), 84–90.CrossRefGoogle Scholar
  14. 14.
    Adio, S. O., Omar, M. H., Asif, M., & Saleh, T. A. (2017). Arsenic and selenium removal from water using biosynthesized nanoscale zero-valent iron: a factorial design analysis. Process Safety and Environment Protection, 107, 518–527.CrossRefGoogle Scholar
  15. 15.
    De, P., Mondal, H., & Bera, U. K. (2016). Dual solutionof heat and mass transfer of nanofluid over a stretching/shrinking sheet with thermal radiation. Meccanica, 51(1), 117–124.MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    Kandasamy, R. K., & Muhamad, R. (2016). MHD nanofluid flow containing gyrotactic microorganisms. WSEAS Transactions on Heat and Mass Transfer, 11, 30–45.Google Scholar
  17. 17.
    Pal, D., & Mondal, H. (2011). MHD non-Darcian mixed convection heat and mass transfer over a non-linear stretching sheet with Soret-Dufour effects anf chemical reaction. International Communications in Heat and Mass Transfer, 38, 463–467.CrossRefGoogle Scholar
  18. 18.
    Khan, W. A., & Pop, I. (2010). Boundary-layer flow of a nanofluid past a stretching sheet. International Journal of Heat and Mass Transfer, 53, 2477–2483.CrossRefzbMATHGoogle Scholar
  19. 19.
    Ali, I., Akl, M. R., Meligi, G. A., & Saleh, T. A. (2017). Silver nanoparticles embedded in polystyrene-polyvinyl pyrrolidone nanocomposites using γ-rai irradiation: Physico-chemical properties. Results in Physics, 7, 1319–1328.CrossRefGoogle Scholar
  20. 20.
    Ali, I., Hammadi, S. A. A., & Saleh, T. A. (2018). Simultaneous sorption of dyes and toxic metals from waters using synthesized titania-incorporated polyamide. Journal of Molecular Liquids, 269, 564–571.CrossRefGoogle Scholar
  21. 21.
    Adio, S. O., Asif, M., Mohammed, A. R. I., Baig, N., Arfaj, A. A. A., & Saleh, T. A. (2018). Poly (amidoxime) Modified magnetic activated carbon for chromium and thallium adsorption: statistical analysis and regeneration. Process Safety and Environment Protection.  https://doi.org/10.1016/j.psep.2018.10.008 Article in Press.

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Division of Mathematics, School of Advanced SciencesVellore Institute of TechnologyChennaiIndia

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