Eur. Phys. J. Plus (2017) 132: 555
https://doi.org/10.1140/epjp/i2017-11818-8

Regular Article

Analytical exploration of a TiO₂ nanofluid along a rotating disk with homogeneous-heterogeneous chemical reactions and non-uniform heat source/sink

¹ Department of Mathematics, A.B.N. Seal College, Cooch Behar, W.B., India
² Department of Engineering Science, Academy of Technology, 712121, Hooghly, India
³ Department of Mathematics, Jadavpur University, 700032, Kolkata, W.B., India

^* e-mail: kd_kgec@rediffmail.com

Received: 16 April 2017
Accepted: 4 December 2017
Published online: 29 December 2017

Abstract

Comparative flow features of two different nanofluids containing TiO₂ nanoparticles along a rotating disk near a stagnation point are theoretically addressed here. The primary fluids are presumed as ethylene glycol and water. The influences of non-uniform heat absorption/generation with homogeneous and heterogeneous chemical reactions have been integrated to modify the energy and concentration profiles. By virtue of similarity conversions, the leading partial differential system has been standardized into non-linear ODEs and then cracked analytically by NDM and numerically by RK-4 based shooting practice. Impressions of emerging parameters on the flow regime have been reported by tables and graphs coupled with required discussions. One of our results predicts that, with the augmentation of TiO₂ nanoparticles concentration, the rate of heat transport for ethylene glycol nanofluid becomes 30-36% higher compared to that of a water nanofluid.