Effect of Newtonian heating on bioconvection of nanofluid over stretching sheet with gyrotactic microorganisms

Transport processes in nanofluids and their importance in biomedical applications and process industries has gained considerable attention in recent decades [1, 2]. Bioconvection in a horizontal layer with heat and mass transfer of nanofluid containing gyrotactic microorganisms along a stretching sheet taking into account the Newtonian heating boundary condition is investigated numerically. In the modelling of nanofluid, both Brownian motion and thermophoresis effects are incorporated into the nonlinear differential equations. The governing equations are reduced to a system of couple non-linear ordinary differential equations for momentum, energy, nanoparticle concentration and dimensionless motile microorganism density, with using appropriate similarity transformations and then tackled numerically using the fifth order Rung-Kutta-Fehlberg scheme with shooting technique. Please download the full abstract below

Influence of Stefan blowing on nanofluid flow submerged in microorganisms with leading edge accretion or ablation

The unsteady forced convective boundary layer flow of viscous incompressible fluid containing both nanoparticles and gyrotactic microorganisms, from a flat surface with leading edge accretion (or ablation), is investigated theoretically. Utilizing appropriate similarity transformations for the velocity, temperature, nanoparticle volume fraction and motile microorganism density, the governing conservation equations are rendered into a system of coupled, nonlinear, similarity ordinary differential equations. These equations, subjected to imposed boundary conditions, are solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order numerical method in the MAPLE symbolic software. Good agreement between our computations and previous solutions is achieved. The effect of selected parameters on flow velocity, temperature, nano-particle volume fraction (concentration) and motile microorganism density function is investigated. Furthermore, tabular solutions are included for skin friction, wall heat transfer rate, nano-particle mass transfer rate and microorganism transfer rate. Applications of the study arise in advanced micro-flow devices to assess nanoparticle toxicity

Radiative and magnetohydrodynamics flow of third grade viscoelastic fluid past an isothermal inverted cone in the presence of heat generation/absorption

A mathematical analysis is presented to investigate the nonlinear, isothermal, steady-state, free convection boundary layer flow of an incompressible third grade viscoelastic fluid past an isothermal inverted cone in the presence of magnetohydrodynamic, thermal radiation and heat generation/absorption. The transformed conservation equations for linear momentum, heat and mass are solved numerically subject to the realistic boundary conditions using the second-order accurate implicit finite-difference Keller Box Method. The numerical code is validated with previous studies. Detailed interpretation of the computations is included. The present simulations are of interest in chemical engineering systems and solvent and low-density polymer materials processing