Madhu Aneja and Sapna Sharma
Numerical Approach to a Mathematical Modeling of Bioconvection Due to Gyrotactic MicroOrganisms over a Nonlinear Inclined Stretching Sheet
170 - 178
2018
12
9
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10009476
https://publications.waset.org/vol/141
World Academy of Science, Engineering and Technology
The waterbased bioconvection of a nanofluid
containing motile gyrotactic microorganisms over nonlinear
inclined stretching sheet has been investigated. The governing
nonlinear boundary layer equations of the model are reduced to a
system of ordinary differential equations via OberbeckBoussinesq
approximation and similarity transformations. Further, the modified
set of equations with associated boundary conditions are solved using
Finite Element Method. The impact of various pertinent parameters
on the velocity, temperature, nanoparticles concentration, density of
motile microorganisms profiles are obtained and analyzed in details.
The results show that with the increase in angle of inclination δ,
velocity decreases while temperature, nanoparticles concentration,
a density of motile microorganisms increases. Additionally, the
skin friction coefficient, Nusselt number, Sherwood number, density
number are computed for various thermophysical parameters. It
is noticed that increasing Brownian motion and thermophoresis
parameter leads to an increase in temperature of fluid which results
in a reduction in Nusselt number. On the contrary, Sherwood number
rises with an increase in Brownian motion and thermophoresis
parameter. The findings have been validated by comparing the
results of special cases with existing studies.
Open Science Index 141, 2018