, Volume 9, Issue 1, pp 13–20 | Cite as

Impact of Dual Solutions on Nanofluid Containing Motile Gyrotactic Micro-organisms with Thermal Radiation

  • Poulomi DeEmail author


In the present model, the author offered a numerical treatment on dual solution of water-based nanofluid together with motile gyrotactic micro-organisms accompanied by tiny nanoparticles with radiation effects flowing on non-linearly shrinking/stretching sheet. Set of governing equations converted to non-linear coupled ordinary differential equations by similarity transformations and solved numerically using fifth-order Runge-Kutta-Fehlberg method by shooting algorithm. Impact of physical parameters on velocity, temperature, concentration, and density of motile micro-organisms distribution was reported graphically and explained in details. The present results explore the enhancing effect of bioconvection Lewis number, bioconvection Peclet number, and micro-organisms concentration difference parameter resulting in a decline of dual density of motile micro-organisms profile, whereas temperature profile enhanced with a boost in thermal radiation parameter. Finally, the present investigation was compared among offered consequences in literature.


Shrinking/stretching sheet Water-based nanofluid Motile gyrotactic micro-organisms Shooting technique Runge-Kutta-Fehlberg scheme 


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Division of Mathematics, School of Advanced SciencesVellore Institute of TechnologyChennaiIndia

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