Nanofluid slip flow over a stretching cylinder with Schmidt and Péclet number effects

A mathematical model is presented for three-dimensional unsteady boundary layer\udslip flow of Newtonian nanofluids containing gyrotactic microorganisms over a\udstretching cylinder. Both hydrodynamic and thermal slips are included. By applying\udsuitable similarity transformations, the governing equations are transformed into a set\udof nonlinear ordinary differential equations with appropriate boundary conditions.\udThe transformed nonlinear ordinary differential boundary value problem is then\udsolved using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in Maple\ud18 symbolic software. The effects of the controlling parameters on the dimensionless\udvelocity, temperature, nanoparticle volume fractions and microorganism motile\uddensity functions have been illustrated graphically. Comparisons of the present paper\udwith the existing published results indicate good agreement and supports the validity\udand the accuracy of our numerical computations. Increasing bioconvection Schmidt\udnumber is observed to depress motile micro-organism density function. Increasing\udthermal slip parameter leads to a decrease in temperature. Thermal slip also exerts a\udstrong influence on nano-particle concentration. The flow is accelerated with positive\udunsteadiness parameter (accelerating cylinder) and temperature and micro-organism\uddensity function are also increased. However nano-particle concentration is reduced\udwith positive unsteadiness parameter. Increasing hydrodynamic slip is observed\udto boost temperatures and micro-organism density whereas it decelerates the flow\udand reduces nano-particle concentrations. The study is relevant to nano-biopolymer\udmanufacturing processes