TY - EJOU
AU - El-Aziz, Mohamed Abd
AU - Aly, A. M.
TI - MHD Boundary Layer Flow of a Power-Law Nanofluid Containing Gyrotactic Microorganisms Over an Exponentially Stretching Surface
T2 - Computers, Materials \& Continua
PY - 2020
VL - 62
IS - 2
SN - 1546-2226
AB - This study focusses on the numerical investigations of boundary layer flow for
magnetohydrodynamic (MHD) and a power-law nanofluid containing gyrotactic
microorganisms on an exponentially stretching surface with zero nanoparticle mass flux
and convective heating. The nonlinear system of the governing equations is transformed
and solved by Runge-Kutta-Fehlberg method. The impacts of the transverse magnetic
field, bioconvection parameters, Lewis number, nanofluid parameters, Prandtl number
and power-law index on the velocity, temperature, nanoparticle volume fraction, density
of motile microorganism profiles is explored. In addition, the impacts of these parameters
on local skin-friction coefficient, local Nusselt, local Sherwood numbers and local
density number of the motile microorganisms are discussed. The results reveal that the
power law index is considered an important factor in this study. Due to neglecting the
buoyancy force term, the bioconvection and nanofluid parameters have slight effects on
the velocity profiles. The resultant Lorentz force, from increasing the magnetic field
parameter, try to decrease the velocity profiles and increase the rescaled density of motile
microorganisms, temperature and nanoparticle volume fraction profiles. Physically, an
augmentation of power-law index drops the reduced local skin-friction and reduced
Sherwood number, while it increases reduced Nusselt number and reduced local density
number of motile microorganisms.
KW - Bioconvection
KW - gyrotactic microorganisms
KW - magnetohydrodynamic
KW - nanofluid
KW - boundary layer
KW - power-law
DO - 10.32604/cmc.2020.08576