Numerical solutions of mixed convection flow on a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms

Leony Tham, Roslinda Mohd. Nazar, Ioan Pop

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, the steady mixed convection boundary layer flow over a solid sphere with a constant surface temperature embedded in a porous medium saturated by a nanofluid containing both nanoparticles and gyrotactic microorganisms in a stream flowing vertically upwards for both cases of a heated and cooled sphere, is numerically studied. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme. By considering the governing parameters, namely the mixed convection parameter λ, the bioconvection Lewis number Lb, the traditional Lewis number Le, the bioconvection Péclet number Pb, the buoyancy ratio Nr, the bioconvection Rayleigh number Rb, the Brownian motion Nb and the thermophoresis Nt, the numerical results are obtained and discussed for the local density number of the motile microorganisms as well as the velocity, temperature, nanoparticle volume fraction and density motile microorganisms profiles.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages604-613
Number of pages10
Volume1522
DOIs
Publication statusPublished - 2013
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya
Duration: 18 Dec 201220 Dec 2012

Other

Other20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
CityPutrajaya
Period18/12/1220/12/12

Fingerprint

microorganisms
Lewis numbers
convection
thermophoresis
nanoparticles
boundary layer flow
Rayleigh number
buoyancy
partial differential equations
surface temperature
profiles
temperature

Keywords

  • Bioconvection
  • Boundary layer
  • Nanofluid
  • Porous medium
  • Solid sphere

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Numerical solutions of mixed convection flow on a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms. / Tham, Leony; Mohd. Nazar, Roslinda; Pop, Ioan.

AIP Conference Proceedings. Vol. 1522 2013. p. 604-613.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Tham, L, Mohd. Nazar, R & Pop, I 2013, Numerical solutions of mixed convection flow on a solid sphere embedded in a porous medium filled by a nanofluid containing gyrotactic microorganisms. in AIP Conference Proceedings. vol. 1522, pp. 604-613, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801180
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