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Neural Computing and Applications

, Volume 31, Issue 4, pp 1061–1067 | Cite as

Darcy–Brinkman bio-thermal convection in a suspension of gyrotactic microorganisms in a porous medium

  • Moli Zhao
  • Shaowei WangEmail author
  • Haibo Wang
  • U. S. Mahabaleshwar
Original Article

Abstract

On the basis of Darcy–Brinkman model, linear stability analysis is used to study bio-thermal convection in a suspension of gyrotactic microorganisms in a highly porous medium heated from below. A Galerkin method is performed to solve the governing equations generating a correlation between the traditional thermal Rayleigh number and the critical value of the bioconvection Rayleigh number. The effects of three variables including the bioconvection Péclet number, the gyrotaxis number and the modified Darcy number on both the wave number and the critical bioconvection Rayleigh number are analyzed and shown graphically. Results indicate that the critical bioconvection Rayleigh number becomes larger with increasing Darcy number.

Keywords

Darcy–Brinkman model Bioconvection Linear stability Porous medium 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (No.11672164, 51509145, 11672163), Fundamental Research Funds of Shandong University (Grant No.2015JC019) and the Natural Science Foundation of Shandong Province (Grant No. ZR2014AM031, ZR2015EQ005).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Moli Zhao
    • 1
  • Shaowei Wang
    • 1
    Email author
  • Haibo Wang
    • 1
  • U. S. Mahabaleshwar
    • 2
  1. 1.Department of Engineering Mechanics, School of Civil EngineeringShandong UniversityJinanChina
  2. 2.Department of MathematicsGovernment First Grade College for WomenHassanIndia

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