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

Authors
  • Zhao, Moli1
  • Wang, Shaowei1
  • Wang, Haibo1
  • Mahabaleshwar, U. S.2
  • 1 Shandong University, Department of Engineering Mechanics, School of Civil Engineering, Jinan, 250061, China , Jinan (China)
  • 2 Government First Grade College for Women, Department of Mathematics, Hassan, 573201, India , Hassan (India)
Type
Published Article
Journal
Neural Computing and Applications
Publisher
Springer London
Publication Date
Jul 11, 2017
Volume
31
Issue
4
Pages
1061–1067
Identifiers
DOI: 10.1007/s00521-017-3137-y
Source
Springer Nature
Keywords
License
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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.

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