Analysis on the bioconvection flow of modified second-grade nanofluid containing gyrotactic microorganisms and nanoparticles

Abstract

The aim of current attempt is to visualize the flow of (‘modified’) second-grade nanofluid with heat, motile microorganisms and mass transfer rates over stretching surface. The modified second grade fluid is utilized to analyze the rheological behavior. The energy equation is modified with presence of heat absorption and generation effects. In order to stabilize the suspension of nanoparticles, the concept of microorganisms has been introduced. Further present flow analysis is performed with Nield boundary conditions. The formulated equations are first reduced in to dimensionless form by using similarity variables. The approximate solution of these locally similar nonlinear ordinary differential equations is calculated by using shooting method through computational software MATLAB. The calculated results are carefully compared with earlier studies and found an excellent agreement. The ascendancy of interesting parameters like generalized second-grade parameter Brownian motion, thermophoresis effects, Peclet number are examined for multiple values of power law index. It is found that velocity profile declined effectively by buoyancy ratio parameter and bioconvection Rayleigh number. The temperature and concentration profiles enhanced with thermophoretic parameter. It is further observed that motile microorganism profile depressed with Brownian movement parameter and Prandtl number. A prominent demising temperature profile has been noted for shear thickening case as compared to shear thinning.