Magnetic field and viscous dissipation effect on bioconvection in a permeable sphere embedded in a porous medium with a nanofluid containing gyrotactic micro-organisms

Sachin Shaw, Sandile S. Motsa, Precious Sibanda

Research output: Contribution to journalArticle

Abstract

Micro-organisms play a vital role to understand the ecological system and therefore it is very important to understand the behavior of micro-organism due to different parameters. In the present paper, we investigated the bioconvection about a permeable sphere with constant surface temperature embedded in a porous medium filled with a water-based nanofluid containing gyrotactic micro-organisms. The convection and movement of the micro-organisms are constrained or assisted by thermophoresis, viscous dissipation effects, and an applied magnetic field. First, we have used the similarity transformation to simplify the governing equations. Then, we have solved the governing nonlinear partial differential equations numerically using a recent spectral relaxation method. The effects of the significant parameters on the local density of the gyrotactic micro-organisms have been determined and discussed. It is observed that by introducing the magnetic field in the system, the skin friction, local nanoparticle Sherwood number, and the local density of the micro-organism decrease, while the last two governing parameters show a positive response with increase in the viscous dissipation.

Original languageEnglish
Pages (from-to)718-734
Number of pages17
JournalHeat Transfer - Asian Research
Volume47
Issue number5
DOIs
Publication statusPublished - Jul 1 2018

Fingerprint

organisms
Porous materials
dissipation
Thermophoresis
Magnetic fields
Skin friction
magnetic fields
Partial differential equations
Nanoparticles
Water
thermophoresis
skin friction
ecosystems
partial differential equations
Temperature
surface temperature
convection
nanoparticles
water
Convection

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

Cite this

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title = "Magnetic field and viscous dissipation effect on bioconvection in a permeable sphere embedded in a porous medium with a nanofluid containing gyrotactic micro-organisms",
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Magnetic field and viscous dissipation effect on bioconvection in a permeable sphere embedded in a porous medium with a nanofluid containing gyrotactic micro-organisms. / Shaw, Sachin; Motsa, Sandile S.; Sibanda, Precious.

In: Heat Transfer - Asian Research, Vol. 47, No. 5, 01.07.2018, p. 718-734.

Research output: Contribution to journalArticle

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