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多孔介质期刊
影响因子: 1.49 5年影响因子: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v18.i4.30
pages 389-399

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

Waqar Khan
Prince Mohammad Bin Fahd University
Mohammed Jashim Uddin
School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia; Department of Mathematics, American International University-Bangladesh, Banani, Dhaka 1213, Bangladesh
Ahmad I. Md. Ismail
School of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia

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.


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