@Article{cmc.2020.08576,
AUTHOR = {Mohamed Abd El-Aziz, A. M. Aly},
TITLE = {MHD Boundary Layer Flow of a Power-Law Nanofluid Containing Gyrotactic Microorganisms Over an Exponentially Stretching Surface},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {62},
YEAR = {2020},
NUMBER = {2},
PAGES = {525--549},
URL = {http://www.techscience.com/cmc/v62n2/38263},
ISSN = {1546-2226},
ABSTRACT = {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.},
DOI = {10.32604/cmc.2020.08576}
}