Tangent hyperbolic non-Newtonian radiative bioconvection nanofluid flow from a bi-directional stretching surface with electro-magneto-hydrodynamic, Joule heating and modified diffusion effects

Prakash, J; Tripathi, D; Akkurt, N; Beg, OA

Abstract

Motivated by bio-inspired nano-technological functional coating flows, in the current paper a
theoretical study of laminar, steady, incompressible bioconvection flow of a tangential hyperbolic
(non-Newtonian) nanofluid from a bi-directional stretching surface under mutually orthogonal
electrical and magnetic fields is presented. Nonlinear thermal radiation, Joule heating and heat
source/sink effects are included. Non-Fourier and non-Fickian models are also implemented which
feature thermal and solutal relaxation. Buongiorno’s nanoscale model is adopted which features
thermophoresis and Brownian motion effects. Rosseland’s model is employed for thermal
radiation. The electro-viscous effects arising from the distortions of the double-capacitance electric
flow field are addressed with a modified formulation of the Poisson-Boltzmann equation. Via
appropriate similarity transformations, the coupled, nonlinear partial differential conservation
boundary layer equations and wall and freestream boundary conditions are rendered into a
nonlinear ordinary differential boundary value problem which is solved numerically with an
efficient numerical Lobattao - IIIa collocation method available in the MATLAB bvp4c shooting
solver. Validation with previous studies is included. Velocity is strongly damped with increasing
buoyancy ratio and bioconvection Rayleigh number are generally greater with positive rather than
negative electrical field parameter. Increasing the Eckert number reduces the density of motile
microorganisms while raising the temperature. An increment in Brownian motion and radiative
parameters strongly accentuates temperatures.

Citation

Prakash, J., Tripathi, D., Akkurt, N., & Beg, O. (2022). Tangent hyperbolic non-Newtonian radiative bioconvection nanofluid flow from a bi-directional stretching surface with electro-magneto-hydrodynamic, Joule heating and modified diffusion effects. European Physical Journal Plus, 137(472), https://doi.org/10.1140/epjp/s13360-022-02613-x

• Journal Article Type: Article
• Acceptance Date: Mar 16, 2022
• Publication Date: Apr 16, 2022
• Deposit Date: Mar 16, 2022
• Publicly Available Date: Apr 16, 2023
• Journal: The European Physical Journal Plus
• Publisher: EDP Sciences
• Volume: 137
• Issue: 472
• DOI: https://doi.org/10.1140/epjp/s13360-022-02613-x
• Publisher URL: https://doi.org/10.1140/epjp/s13360-022-02613-x
• Additional Information: Additional Information : "This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://dx.doi.org/10.1140/epjp/s13360-022-02613-x"