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BIOCONVECTIVE NON-NEWTONIAN NANOFLUID TRANSPORT OVER A VERTICAL PLATE IN A POROUS MEDIUM CONTAINING MICROORGANISMS IN A MOVING FREE STREAM

Volume 18, Issue 4, 2015, pp. 389-399
DOI: 10.1615/JPorMedia.v18.i4.30
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ABSTRACT

A mathematical model for natural convective flow along a vertical plate in a moving free stream in a porous medium which is filled with non-Newtonian nanofluids and gyrotactic microorganisms is presented. The effect of the viscous dissipation is taken into account in the energy equation. The governing boundary layer equations are cast into dimensionless form and then converted into a system of coupled nonlinear ordinary differential equations by using similarity transformations. The transformed equations are then solved numerically by the implicit finite difference method. The effects of the controlling parameters on the dimensionless velocity, temperature, nanoparticle volume fraction, and the motile microorganism, as well as on the local Nusselt, Sherwood, and the motile microorganism numbers are investigated, the results analyzed and then presented. The nanofluid and bioconvection parameters were found to have strong effects on the local Nusselt, Sherwood, and the motile microorganism numbers. The numerical results are compared with published data, and an excellent agreement has been found. The present study finds application in microbial fuel cells.

CITED BY
  1. Tuz Zohra Fatema T., Jashim Uddin Mohammed, Md. Ismail Ahmad Izani, Anwar Bég O., Bioconvective electromagnetic nanofluid transport from a wedge geometry:Simulation of smart electro-conductive bio-nanopolymer processing, Heat Transfer-Asian Research, 47, 1, 2018. Crossref

  2. Kumar Rakesh, Sood Shilpa, Shehzad Sabir Ali, Sheikholeslami Mohsen, Numerical modeling of time-dependent bio-convective stagnation flow of a nanofluid in slip regime, Results in Physics, 7, 2017. Crossref

  3. Nield Donald A., Bejan Adrian, Double-Diffusive Convection, in Convection in Porous Media, 2017. Crossref

  4. Kuznetsov A. V., Kuznetsov I. A., Free Convection: Cavities and Layers, in Handbook of Thermal Science and Engineering, 2017. Crossref

  5. Wang Chen, Yang Tong, Wang Tao, Qiu Liewei, Thermosensitive behavior of hydrophobically associating anionic guar gum solutions and gels, International Journal of Biological Macromolecules, 111, 2018. Crossref

  6. Kuznetsov Andrey V., Kuznetsov Ivan A., Free Convection: Cavities and Layers, in Handbook of Thermal Science and Engineering, 2018. Crossref

  7. Uddin Mohammed Jashim, Amirsom N. A., Bég O. Anwar, Ismail Ahmad Izani, Computation of bio-nano-convection power law slip flow from a needle with blowing effects in a porous medium, Waves in Random and Complex Media, 2022. Crossref

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