### Abstract

The time-dependent mixed bioconvection flow of an electrically conducting fluid between two infinite parallel plates in the presence of a magnetic field and a first-order chemical reaction is investigated. The fully coupled nonlinear systems describing the total mass, momentum, thermal energy, mass diffusion, and microorganisms equations are reduced to a set of ordinary differential equations via a set of new similarity transformations. The detailed analysis illustrating the influences of various physical parameters such as the magnetic, squeezing, and chemical reaction parameters and the Schmidt and Prandtl numbers on the distributions of temperature and microorganisms as well as the skin friction and the Nusselt number is presented. The conclusion is drawn that the flow field, temperature, and chemical reaction profiles are significantly influenced by magnetic parameter, heat generation/absorption parameter, and chemical parameter. Some examples of potential applications of such bioconvection could be found in pharmaceutical industry, microfluidic devices, microbial enhanced oil recovery, modeling oil, and gas-bearing sedimentary basins.

Language | English |
---|---|

Article number | 2541413 |

Number of pages | 9 |

Journal | Mathematical Problems in Engineering |

Volume | 2017 |

DOIs | |

Publication status | Published - 27 Jan 2017 |

### Fingerprint

### Keywords

- bioconvection flow
- magnetic fields
- hydrodynamical machines

### Cite this

}

**Unsteady bioconvection squeezing flow in a horizontal channel with chemical reaction and magnetic field effects.** / Zhao, Qingkai; Xu, Hang; Tao, Longbin.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Unsteady bioconvection squeezing flow in a horizontal channel with chemical reaction and magnetic field effects

AU - Zhao, Qingkai

AU - Xu, Hang

AU - Tao, Longbin

PY - 2017/1/27

Y1 - 2017/1/27

N2 - The time-dependent mixed bioconvection flow of an electrically conducting fluid between two infinite parallel plates in the presence of a magnetic field and a first-order chemical reaction is investigated. The fully coupled nonlinear systems describing the total mass, momentum, thermal energy, mass diffusion, and microorganisms equations are reduced to a set of ordinary differential equations via a set of new similarity transformations. The detailed analysis illustrating the influences of various physical parameters such as the magnetic, squeezing, and chemical reaction parameters and the Schmidt and Prandtl numbers on the distributions of temperature and microorganisms as well as the skin friction and the Nusselt number is presented. The conclusion is drawn that the flow field, temperature, and chemical reaction profiles are significantly influenced by magnetic parameter, heat generation/absorption parameter, and chemical parameter. Some examples of potential applications of such bioconvection could be found in pharmaceutical industry, microfluidic devices, microbial enhanced oil recovery, modeling oil, and gas-bearing sedimentary basins.

AB - The time-dependent mixed bioconvection flow of an electrically conducting fluid between two infinite parallel plates in the presence of a magnetic field and a first-order chemical reaction is investigated. The fully coupled nonlinear systems describing the total mass, momentum, thermal energy, mass diffusion, and microorganisms equations are reduced to a set of ordinary differential equations via a set of new similarity transformations. The detailed analysis illustrating the influences of various physical parameters such as the magnetic, squeezing, and chemical reaction parameters and the Schmidt and Prandtl numbers on the distributions of temperature and microorganisms as well as the skin friction and the Nusselt number is presented. The conclusion is drawn that the flow field, temperature, and chemical reaction profiles are significantly influenced by magnetic parameter, heat generation/absorption parameter, and chemical parameter. Some examples of potential applications of such bioconvection could be found in pharmaceutical industry, microfluidic devices, microbial enhanced oil recovery, modeling oil, and gas-bearing sedimentary basins.

KW - bioconvection flow

KW - magnetic fields

KW - hydrodynamical machines

UR - http://www.scopus.com/inward/record.url?scp=85012177485&partnerID=8YFLogxK

U2 - 10.1155/2017/2541413

DO - 10.1155/2017/2541413

M3 - Article

VL - 2017

JO - Mathematical Problems in Engineering

T2 - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

M1 - 2541413

ER -