Numerical investigation on bioconvection flow in the presence of two concentrations


Pekmen B., Gürbüz Çaldağ M.

Journal of Thermal Analysis and Calorimetry, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s10973-025-15015-9
  • Dergi Adı: Journal of Thermal Analysis and Calorimetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Chimica, Compendex, Index Islamicus, INSPEC
  • Anahtar Kelimeler: Bioconvection, Magnetotactic bacteria, Triple diffusive
  • TED Üniversitesi Adresli: Evet

Özet

In this study, natural bioconvection flow in the presence of magnetotactic bacteria is numerically investigated in a square cavity involving water and two concentrations. The concentrations are considered as oxygen and iron (Fe) concentrations. This is the first study to simultaneously incorporate dual concentration equations into the governing bioconvection model, thereby extending the existing single-concentration frameworks. The time-independent governing dimensionless equations in stream function-vorticity form are numerically solved using the radial basis function collocation method. The numerical results are observed in different Rayleigh (Ra), bioconvection Rayleigh (Rb), Peclet (Pe), Lewis (Le1,Le2) numbers and the buoyancy ratio parameters (Nr1,Nr2). The average Nusselt and Sherwood numbers along the heated wall, and the average density of bacteria are calculated as well as plotted contours. In the case of two concentrations, the diffusivity of bacteria is assumed to be equal to one of the concentration diffusivity. Firstly, the diffusivity of bacteria is assumed to be equal to the diffusivity of oxygen concentration. The average Nusselt number as a measurement of convective heat transfer increases 216.8%, 43.3%, 104% and 29.7% with the rise in Ra, Rb, Pe and Le2, respectively. The elevation in buoyancy ratio parameters affects average Nusselt number, the average Sherwood number for Fe concentration and the average density of bacteria inversely. The average Sherwood number for Fe concentration as an indicator for the convective mass transfer of Fe remarkably decreases 55.1% as Le1 increases in this first assumption. On the other side, the second assumption for equality of diffusivity of bacteria to the diffusivity of Fe reduces the convective heat transfer significantly as Le2 rises. These findings establish new benchmarks for understanding multi-concentration bioconvective transport in magnetotactic systems, offering insights for future bioengineering and environmental applications.