Md Basir, Md Faisal and Uddin, M. J. and Md. Ismail, A. I. and Bég, O. Anwar
(2016)
Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects.
AIP Advances, 6 (055316).
pp. 1-15.
ISSN 2158-3226
Abstract
A mathematical model is presented for three-dimensional unsteady boundary layer
slip flow of Newtonian nanofluids containing gyrotactic microorganisms over a
stretching cylinder. Both hydrodynamic and thermal slips are included. By applying
suitable similarity transformations, the governing equations are transformed into a set
of nonlinear ordinary differential equations with appropriate boundary conditions.
The transformed nonlinear ordinary differential boundary value problem is then
solved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in Maple
18 symbolic software. The effects of the controlling parameters on the dimensionless
velocity, temperature, nanoparticle volume fractions and microorganism motile
density functions have been illustrated graphically. Comparisons of the present paper
with the existing published results indicate good agreement and supports the validity
and the accuracy of our numerical computations. Increasing bioconvection Schmidt
number is observed to depress motile micro-organism density function. Increasing
thermal slip parameter leads to a decrease in temperature. Thermal slip also exerts a
strong influence on nano-particle concentration. The flow is accelerated with positive
unsteadiness parameter (accelerating cylinder) and temperature and micro-organism
density function are also increased. However nano-particle concentration is reduced
with positive unsteadiness parameter. Increasing hydrodynamic slip is observed
to boost temperatures and micro-organism density whereas it decelerates the flow
and reduces nano-particle concentrations. The study is relevant to nano-biopolymer
manufacturing processes.
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