Abstract
This paper studies the thermo-bioconvection in a square porous cavity filled by oxytactic microorganisms. The Darcy model with Boussinesq approximation has been used to solve the flow and heat and mass transfer in the porous region. The governing equations formulated in terms of the dimensionless stream function, temperature and concentration have been solved using the finite difference method. Comparison with results from the open literature of the mean Nusselt number for a square cavity filled with a regular porous medium is made. It is shown that the results are in very good agreement. The main objective was to investigate the influence of the traditional Rayleigh number Ra = 10, 100, bioconvection Rayleigh number Rb = 10, 100, Lewis number Le = 1, 10, and Péclet number Pe = 0.1, 1 on the fluid flow and heat and mass transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt and Sherwood numbers at the vertical walls has been conducted.
| Original language | English |
|---|---|
| Pages (from-to) | 191-205 |
| Number of pages | 15 |
| Journal | Transport in Porous Media |
| Volume | 103 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
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Keywords
- Boussinesq approximation
- Darcy model
- Square porous cavity
- Stream function formulation
- Thermo-bioconvection
ASJC Scopus subject areas
- Catalysis
- Chemical Engineering(all)
Cite this
Thermo-Bioconvection in a Square Porous Cavity Filled by Oxytactic Microorganisms. / Sheremet, M. A.; Pop, I.
In: Transport in Porous Media, Vol. 103, No. 2, 01.01.2014, p. 191-205.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermo-Bioconvection in a Square Porous Cavity Filled by Oxytactic Microorganisms
AU - Sheremet, M. A.
AU - Pop, I.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - This paper studies the thermo-bioconvection in a square porous cavity filled by oxytactic microorganisms. The Darcy model with Boussinesq approximation has been used to solve the flow and heat and mass transfer in the porous region. The governing equations formulated in terms of the dimensionless stream function, temperature and concentration have been solved using the finite difference method. Comparison with results from the open literature of the mean Nusselt number for a square cavity filled with a regular porous medium is made. It is shown that the results are in very good agreement. The main objective was to investigate the influence of the traditional Rayleigh number Ra = 10, 100, bioconvection Rayleigh number Rb = 10, 100, Lewis number Le = 1, 10, and Péclet number Pe = 0.1, 1 on the fluid flow and heat and mass transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt and Sherwood numbers at the vertical walls has been conducted.
AB - This paper studies the thermo-bioconvection in a square porous cavity filled by oxytactic microorganisms. The Darcy model with Boussinesq approximation has been used to solve the flow and heat and mass transfer in the porous region. The governing equations formulated in terms of the dimensionless stream function, temperature and concentration have been solved using the finite difference method. Comparison with results from the open literature of the mean Nusselt number for a square cavity filled with a regular porous medium is made. It is shown that the results are in very good agreement. The main objective was to investigate the influence of the traditional Rayleigh number Ra = 10, 100, bioconvection Rayleigh number Rb = 10, 100, Lewis number Le = 1, 10, and Péclet number Pe = 0.1, 1 on the fluid flow and heat and mass transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt and Sherwood numbers at the vertical walls has been conducted.
KW - Boussinesq approximation
KW - Darcy model
KW - Square porous cavity
KW - Stream function formulation
KW - Thermo-bioconvection
UR - http://www.scopus.com/inward/record.url?scp=84899963395&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84899963395&partnerID=8YFLogxK
U2 - 10.1007/s11242-014-0297-4
DO - 10.1007/s11242-014-0297-4
M3 - Article
VL - 103
SP - 191
EP - 205
JO - Transport in Porous Media
JF - Transport in Porous Media
SN - 0169-3913
IS - 2
ER -