Eur. Phys. J. Plus (2018) 133: 365
https://doi.org/10.1140/epjp/i2018-12169-8

Regular Article

Framing the features of a Darcy-Forchheimer nanofluid flow past a Riga plate with chemical reaction by HPM

¹ Dept. of Basic Science, MCKV Institute of Engineering, 711204, Howrah, West Bengal, India
² Dept. of Mathematics, A.B.N. Seal College, PIN-736101, Cooch Behar, West Bengal, India
³ Dept. of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India

^* e-mail: shibsankar.math@gmail.com

Received: 6 May 2018
Accepted: 30 July 2018
Published online: 13 September 2018

Abstract

The electro-magneto-hydrodynamic boundary-layer nanofluid flow over a Riga plate has been examined in the present paper. The Darcy-Forchheimer model is accounted for to characterize fluid transportation in a porous space. A relative flow analysis amongst suction and injection in the presence of a chemical reaction is presented here. Effects of Brownian motion, thermophoresis and chemical reaction are incorporated in the present model. We implement a similarity approach to reduce the leading PDEs into ODEs. We resolve the resulting equations numerically by using the RK-4 shooting procedure and analytically by engaging HPM. After numerical designs, the influence of the emergent flow parameters on the flow specifics are made clear via graphs and charts. We noticed that temperature and concentration profiles are identical when the porosity parameter and the Forchheimer number increase. For the Forchheimer number heat transmission enriches in suction and declines in injection which infers in cooling practice of a nanofluid flow through Riga plate suction is more relevant than injection.