Mixed convection flow in a channel with slip in a porous medium saturated with a nanofluid containing both nanoparticles and microorganisms

The fully developed mixed convection channel flow in a porous medium saturated with a nanofluid in suspension of nanoparticles and microorganisms driven by its upper moving stripy wall is investigated. By a set of similarity variables, we reduce the governing equations of the conservation of total mass, momentum, thermal energy, nanoparticle volume fraction and microorganisms to four coupled nonlinear ordinary differential equations. The accurate solutions are obtained analytically. Besides, effects of physical parameters on important physical quantities are examined and discussed in detail. The transport mechanism of heat and mass due to the permeability, the slip parameter, the thermophoresis and Brownian diffusions, as well as the bioconvection diffusion is presented. As far as we know, the channel flow of a nanofluid with accelerating wall(s) is not yet considered before. Hence this investigation is original and new. It is expected that the current analysis can be applied in the petroleum engineering where nanoparticles and microorganisms play a role on exploitation efficiency enhancement and energy conservation. (C) 2018 Elsevier Ltd. All rights reserved.