Computational investigation of Stefan blowing and multiple-slip effects on buoyancy-driven bioconvection nanofluid flow with microorganisms

• Bioconvection nanofluid flow with multiple-slip boundary conditions is considered.
• Lie group transformation is used to find the similarity solution of the flow problem.
• The reduced ordinary differential equations are then numerically solved.
• The influence of relevant parameters on the flow is analyzed and discussed.

The effects of Stefan blowing and the velocity, thermal and solutal slips on bioconvection nanofluid flow over a horizontal moving plate are numerically investigated. The Lie group transformation is introduced to seek similarity solutions of such nano-bioconvection flows for the first time. The reduced governing ordinary differential equations are then numerically solved with Matlab nonlinear equation solver fsolve and ODE solver ode15s. The influences of Stefan blowing, the velocity, thermal and solutal slips, the bioconvection Lewis number, the Lewis number, the velocity, the bioconvection Peclet number and Brownian motion on the dimensionless velocity, temperature, nanoparticle volume fraction, microorganism concentration, the distribution of the density of motile microorganisms, the local skin friction coefficient, the local Nusselt number and the local wall mass flux are analyzed and discussed. The study is relevant to novel microbial fuel cell technologies combining the nanofluid with bioconvection phenomena.