“…To the best of authors' knowledge, the combined effects of buoyancy forces, suction/injection, magnetic field, viscous and Joule heating on entropy production in a conducting non-Newtonian couple stress nanofluid has not been reported in the literature yet. Meanwhile, the hydromagnetic mixed convective flow of couple stress nanofluid with heat transfer over a permeable surface in the presence of radiative heat absorption appears to be increasingly important due to its wide applications in the field of micro-electro-mechanical-systems (MEMS), such as micro MHD pumps, micro-electronic devices, rapid mixing of fluids in biological processes, biological transportation, drug delivery and heat exchanger, Dulal et al (1988), Chiang et al (2004), Leong et al (2012). Surface permeability plays a very vital role in micro-mixing of biological fluid, it enhances transpiration process to take place at the boundaries in a micro system, whereby suction is exerted in order to remove reactants while injection is applied to add reactants in the process.…”