Eur. Phys. J. Plus (2019) 134: 500
https://doi.org/10.1140/epjp/i2019-12820-x

Regular Article

Entropy optimization in Ag-H₂O and Cu-H₂O nanomaterial flow with cubic autocatalysis chemical reaction

¹ Department of Mathematics, Quaid-I-Azam University 45320, 44000, Islamabad, Pakistan
² NUTECH School of Applied Sciences and Humanities, National University of Technology, 44000, Islamabad, Pakistan
³ Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia

^* e-mail: mikhan@math.qau.edu.pk

Received: 21 October 2018
Accepted: 13 June 2019
Published online: 9 October 2019

Abstract

Two phase model for simulating flow and heat transport in a water-based liquid containing silver and copper nanoparticles between two rotating stretchable disks in the presence of thermal radiation, Joule heating, viscous dissipation, heat source/sink is addressed. The physical characteristics of irreversibility in nanofluid with cubic autocatalysis chemical reaction are also discussed. Nonlinear systems lead to ordinary ones through implementation of appropriate transformation and then tackle for series solutions. Radial and axial velocities increase nearby the lower disk and decay close to the upper disk with stretching while the tangential velocity decays due to external stimuli (magnet). Eckert number and radiation play a significant role in the enhancement of the temperature profile. Numerical computation of the Nusselt number and skin friction are tabulated and discussed with various effective parameters. The Brinkman number and stretching parameters control the entropy rate by minimizing the values of these parameters. The potential performance towards the different profiles of each parameter is graphically projected and illustrated.