Numerical solution of 3D rotating nanofluid flow subject to Darcy-Forchheimer law, bio-convection and activation energy

Abstract

This work discourses the dynamics of three dimensional rotating nanofluid flows subject to magnetohydrodynamic, Darcy-Forchheimer law, bioconvection self-motive microorganism, and activation energy. The numerical procedure is indicated when close agreement of the current finding is attained in comparison with the existing ones as limiting case. The leading equations based on preservation of mass, momentum, and energy are formulated with partial derivatives which are then transmuted into dimensionless differential form with the enactment of apposite similarity transformations. So, to tackle the non-linearity of these equations, numerical procedure based on shooting technique and Runge-Kutta method is bound to be coded on MATLAB platform. The emerging parameters are varied to observe the change of microorganism distribution, velocity, concentration of nano species, and temperature distribution. Results are displayed graphically and discussed. It is noticed that liquid velocity is decelerated against the constraints of inertia and porosity. The temperature field is strengthened with thermophoresis and Brownian motion. The concentrations of nanoparticle and microorganism are depreciated against Lewis number and bio-Lewis number respectively. The concentration of microorganism is improved for greater peclet number Pe but it lessens with growth in bioconvection Lewis numberLb. The function θ(η) and φ(η) showed increasing response to thermophoresis parameter Nt. The parameter of Brownian motion has noticeable growing impact on concentration of nano particles but decreasing Nb for θ(η) temperature.