Computation of electroconductive gyrotactic bioconvection from a nonlinear inclined stretching sheet under non-uniform magnetic field : simulation of smart bio-nano-polymer coatings for solar energy

Beg, OA; Aneja, M; Sharma, SAPNA; Kuharat, S

Abstract

Incompressible, steady-state, boundary layer magneto-bioconvection of a nanofluid
(containing motile gyrotactic micro-organisms) over a nonlinear inclined stretching sheet
subjected to non-uniform magnetic field is studied theoretically and numerically. This regime
is encountered in novel bio-nano-material electroconductive polymeric processing systems
currently being considered for third generation organic solar coatings, anti-fouling marine
coatings etc. Buongiorno’s two-component nanofluid model is deployed with the OberbeckBoussinesq approximation. Ohmic dissipation (Joule heating) is included. The governing
nonlinear partial differential equations are reduced to a system of ordinary differential
equations and appropriate similarity transformations. The normalized system of equations with
associated boundary conditions features a number of important dimensionless parameters
including magnetohydrodynamic body force parameter (M), sheet inclination (δ), Brownian
motion nanoscale parameter (Nb), thermophoresis nanoscale parameter (Nt), Richardson
number (Ri=GrRe2
, where Gr is thermal Grashof number and Re is Reynolds number),
buoyancy ratio parameter (Nr), Eckert (viscous dissipation) number (Ec), bioconvection
Rayleigh number (Rb), Lewis number (Le), bioconvection Lewis number (Lb), Péclet number
(Pe), nonlinear stretching parameter (n) are solved with a variational Finite Element Method
(FEM). Validation is conducted with earlier published studies of Khan and Pop (2010) for the
case of non-magnetic stretching sheet nanofluid flow without bioconvection. Further validation
of the general magnetic bioconvection nanofluid model is achieved with a generalized
differential quadrature (GDQ) numerical technique developed by Bég and Kuharat (2017). The
response of non-dimensional velocity, temperature, nanoparticle concentration, motile microorganism density function, local skin friction coefficient, Nusselt number, Sherwood number,
wall motile density gradient function to variation in physically pertinent values of selected
control parameters (representative of real solar bio-nano-magnetic materials manufacturing
systems) are studied in detail. Interesting features of the flow dynamics are elaborated and new
future pathways for extension of the study identified in bio-magneto-nano polymers (BMNPs)
for solar coatings.

Citation

Beg, O., Aneja, M., Sharma, S., & Kuharat, S. (2020). Computation of electroconductive gyrotactic bioconvection from a nonlinear inclined stretching sheet under non-uniform magnetic field : simulation of smart bio-nano-polymer coatings for solar energy. International Journal of Modern Physics B, 34(5), 2050028. https://doi.org/10.1142/S0217979220500289

• Journal Article Type: Article
• Acceptance Date: Feb 11, 2020
• Online Publication Date: Feb 18, 2020
• Publication Date: Feb 18, 2020
• Deposit Date: Feb 11, 2020
• Publicly Available Date: Feb 18, 2021
• Journal: International Journal of Modern Physics B
• Print ISSN: 0217-9792
• Electronic ISSN: 1793-6578
• Publisher: World Scientific Publishing
• Volume: 34
• Issue: 5
• Pages: 2050028
• DOI: https://doi.org/10.1142/S0217979220500289
• Publisher URL: https://doi.org/10.1142/S0217979220500289
• Related Public URLs: https://www.worldscientific.com/worldscinet/ijmpb
• Additional Information: Projects : MAGNETIC NANO-BIOCONVECTION FLOW SIMULATION