Physical Insights on Bio-Convection in Prandtl Nanofluid over an Inclined Stretching Sheet in Non-Darcy Medium: Numerical Simulation

Document Type : Article


1 Department of Mathematics, Madhabdev University, Assam, India, 784164

2 Department of Mathematics, Rajiv Gandhi University, Arunachal Pradesh, India, 791112


The innovative aspect of this work is to understand how the intricate interplay between bio-convection, heat transfer, and other behaviours of nanoparticles in a porous zone is affected by Prandtl nanofluid flow across an inclined stretched sheet. The stated equations are transformed into dimensionless form using appropriate similarity transformations, and the resultant set of equations is then numerically solved using MATLAB bvp4c. The acquired results are additionally verified against existing data. The incorporation of special parameters, including the Forchheimer drag (F_r), bio-convection Rayleigh number (R_b), density ratio of motile microorganism (Ω), stretching parameter (ϵ), Prandtl fluid parameter (δ), and elastic parameter (β), adds novelty and complexity to the analysis. The density ratio of motile microorganism plays a crucial role in determining the impact of microorganisms on bio-convection. Depending on whether this parameter is higher or lower than the surrounding fluid, the behaviour of velocity can vary, leading to different fluid flow patterns and dynamics within the system. The higher concentration causes the density of mobile microorganisms to increase, which has a stronger effect on the dynamics of bio-convection. The motile microorganisms considerably contribute to convective heat transmission, and the bacteria's density is extremely excessive compared to the fluid around them.


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