Numerical simulation of chemically reacting Darcy-Forchheimer flow of Buongiorno Maxwell fluid with Arrhenius energy in the appearance of nanoparticles

Abstract

This investigation is designated for studying the inspiration of Darcy-Forchheimer flow of Maxwell nano fluid with nonlinear marvels of thermal radiation and bio convection of motile germs due to porous stretched sheet. Arrhenius energy, thermophoresis and convective Nield boundary conditions are novel aspects of this research. The exploration of heat and mass transfer in electrical conducting Maxwell fluid in the manifestation of nanoparticles is scrutinized. The misappropriate similarity functions are used to convert the couple of governing PDEs in to nonlinear set of ODEs. The resulting fasten of ODEs are numerically solved by applying the appropriate numerical tool shooting procedure with MATLAB solver code bvp4c. The encouragement of renowned parameters including Peclet number, Prandtl number, Bioconvective Lewis number, Rayleigh number, thermophoresis, Lewis number, Brownian motion and Hartmann number on momentum, energy, concentration and germ density profile has been deliberated in form of graphs and tables. We declared that the velocity curve declined for the developing value of inertia coefficient K1, magnetic number M and Deborah number Γ. The improvement in the values of the activation energy E growth in the temperature distribution.

Keywords

• Bioconvection
• Maxwell nanofluid
• Nield boundary conditions
• Buoyancy forces
• Darcy-forchheimer flow